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ASAO Arai  新井 朝雄

ORCIDConnect your ORCID iD *help
… Alternative Names

ARAI ASAO  新井 朝雄

荒井 朝雄

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Researcher Number 80134807
Other IDs
External Links
Affiliation (based on the past Project Information) *help 2016 – 2017: 北海道大学, 理学研究院, 特任教授
2011 – 2015: 北海道大学, 理学(系)研究科(研究院), 教授
2007 – 2011: Hokkaido University, Fac. of Sci., Professor
2009: 北海道大学, 大学院・理学研究科, 教授
2006: 北海道大学, 大学院理学研究院, 教授 … More
1999 – 2005: Hokkaido Univ., Grad. School of Sci., Pro., 大学院・理学研究科, 教授
1999: Hokkaido Univ., Fac. Sci., Professor, 理学部, 教授
1998: 北海道大学, 大学院理学研究科, 教授
1998: 北海道大学, 理学部, 助教授
1995 – 1997: 北海道大学, 大学院・理学研究科, 教授
1996: 北海道大学, 大学院・理学研究科, 助教授
1992 – 1994: Hokkaido University, Faculty of Science Associate Professor, 理学部, 助教授
1987 – 1988: HOKKAIDO UNIVERSITY, FACULTY OF SCIENCE, LECTURER, 理学部, 講師 Less
Review Section/Research Field
Principal Investigator
Basic analysis / 解析学 / Basic analysis
Except Principal Investigator
Basic analysis / 解析学 / Global analysis / General mathematics (including Probability theory/Statistical mathematics) / Global analysis / 代数学・幾何学 / Philosophy/Ethics
Keywords
Principal Investigator
量子場 / 基底状態 / フォック空間 / ディラック作用素 / ハミルトニアン / ディラック粒子 / 量子電磁力学 / 正準交換関係 / Fock space / 超対称性 … More / 時間作用素 / Dirac operator / quantum field / 無限次元解析 / ground state / Dirac particle / 無限次元ディラック作用素 / ハイゼンベルク作用素 / スピン-ボソンモデル / ゲージ理論 / infinite dimensional analysis / スカラー場 / ディラック場 / 縮退度 / 量子ディラック場 / 正準反交換関係 / 正準交換関係と正準反交換関係の表現 / 超対称的量子場 / 無限次元ラプラシアン / 無限次元デイラック作用素 / Heisenberg equation of motion / spectrum / Heisenberg operator / time operator / Hamiltonian / 弱ワイル関係式 / 基底状熊 / カイラル・クォーク・ソリトン / ポラロン / 生き残り確率 / ハイゼンベルグ作用素 / 相対論的量子電磁力学 / ディラック・マクスウェル作用素 / ハイゼンベルク方程式 / スペクトル / Enhanced binding / Scaling limit / Dirac-Maxwell operator / 量子電磁場 / エンハンストバインディング / パウリーフィールツモデル / 非相対論的QED / 束縛の強化 / スケーリング極限 / ディラック-マクスウェル作用素 / infrared divergence / Nelson model / quantum electrodynamics / essential spectrum / 本質的スパクトル / 赤外発散 / ネルソンモデル / 本質的スペクトル / Schrodinger operator / supersymmetric qauntum field theory / qauntum field / gauge theory / canonical commutation relations (CCR) / 非可逆的ボゴリューボフ変換 / 埋蔵固有値 / 一般化されたスピン-ボソンモデル / 強反可換性 / シュレ-ディンガー作用素 / 超対称的場の量子論 / 正準交換関係(CCR) / 摂動論 / ヒルベルト空間 / ゴールデン・トンプソン不等式 / 分配関数 / 量子ゼノン効果 / Golden-Thompson不等式 / Dirac作用素 / スペクトル理論 / 汎関数積分 / 漸近的摂動論 / チッターベヴェーグング / 量子輻射場 / 代数的量子力学 / リウヴィリアン / ラムシフト / 量子保存量 / 量子力学 / 量子幅射場 / 量子平面 / 第2量子化 / 量子群 / ダランベールシャン / 作用素解析 / 量子スカラー場 / ウィルソンループ / P(φ)モデル / ボリンフォックス空間 / index theorem / Laplaccan / operator / anticommuting self-adjoint / supersymmetry … More
Except Principal Investigator
partial autocorrelation function / Tauberian theorem / 偏相関関数 / タウバー型定理 / ローリンの性質 / 作用素環 / long memory / 予測理論 / 局所コンパクト量子群 / 量子群 / Mercerian theorem / 長時間記憶 / マーサー型定理 / C^*環 / Rohlin property / 自己同型写像 / 揺動散逸定理 / 量子場 / Jones index / DIFFERENTIAL EQUATION / PERIODIC ORBIT / GROUP ACTION / C^*-ALGEBRAS / SINGULARITY / FOLIATION / MANIFOLD / 偏微分方程式 / 周期軌道 / Gー構造 / C^〓ー環 / 夛様体 / 群作用 / C^☆-環 / ポアソン構造 / 指数 / 微分方程式 / 週期軌道 / 詳作用 / Cー環 / 特異点 / 葉層構造 / 多様体 / Fluctuation-sissipation theorem / Diffusion coefficient / Einstein relation / Kubo noise / White noise / KMO-Langevin equation / エントロピー規準 / Einstein関係式 / エントロピーレート / 拡散係数 / Einsteinの関係式 / 久保ノイズ / ホワイトノイズ / KMO-ランジュヴァン方程式 / core symmetry / approximately inner / multiplier / AF flow / Kirchberg algebra / cocyle / C^*-algebra / 内部近似性 / 極大可換部分環 / AF環 / C*環 / ローリン流れ / K理論 / クンツ環 / コンヌスペクトル / グラフ極限 / 核対称性 / 内部近似的 / 乗法子 / AF流れ / キルヒベルグ環 / コサイクル / Cスター環 / financial market model / innovation process / expected utility maximization / predictor coefficient / fractional Brownian motion / 記憶を持つ資産過程 / フラクショナル・ブウウン運動 / フラクショナル・ブラウン運動 / タウバー型過程 / 金融市場モデル / 新生過程 / 期待効用最大化 / 予測係数 / フラクショナルブラウン運動 / Amalgamated free product / Approximately inner automorphism / Nontype I C^*-algebra / Galois group / Cartan subalgebra / von Neumann algebra / Locally compact quantum group / Rohlin性質 / 擬ヴォロノヴィッツ環 / カッツ環 / 自由積 / 基底状態 / 純粋状態空間 / UHF flow / 極小作用 / 融合積 / 測度付き同値関係 / 融合自由積 / 近似的内部1径数自己同型群 / 非I型可分C^*-環 / ガロア群 / カルタン環 / フォンノイマン環(因子環) / past and future method / risky asset model / prediction theory / FARIMA process / 定常過程 / 過去未来法 / 危険資産価格モデル / 長時間記憶モデル / FARIMA過程 / unbound operator algebra / Woronowicz unbound operator algebra / double group construction / quantum double / locally compact quantum group / Hopf *-algebra / Hopf algebra / quantum group / 局所インパクト量子群 / Doubule Group Construction / ホップ*-代数 / 非有界作用素環 / Woronowicz algebra / Double Group Construction / Quantum Double / ホップ *-代数 / ホップ代数 / Hankel transform / Abelian theorem / Fourier series / stationary time series / Fourier transform / ハンケル変換 / アーベル型定理 / フーリエ級数 / 定常時系列 / フーリエ変換 / bounded analytic functions / automorphisms / von Neumann algebras / C^<**>-algebras / Dirac operators / Toeplitz operators / Bergman spaces / Hardy spaces / 古典系 / 量子系 / KK理論 / ホモトピー類 / 共役類 / Beraman空間 / 有界正則関数 / 自己同型 / von Neumann環 / Dirac作用素 / Toeplitz作用素 / Bergman空間 / Hardy空間 / Covariant representations / Crossed products / Action / Groups / Dynamical systems / Non-commutativity / Operator algebras / 無限テンソル積 / 正準反交換関係 / エルゴード性 / 非可換力学系 / 共変表現 / 接合積 / 作用 / 群 / 力学系 / 非可換 / Causality Test / Stationary Test / Non-linear prediction problem / Fluctuation-Dissipation-Principle / Alder-Wainwright effect / Fluctuation-Dissipation-Theorem / The theory of KM_2O-Langevin equations / The theory of KMO-Langevin equations / 揺動散逸原理 / KMOーランジュヴァン方程式 / 非線型予測問題 / 因果律 / 定常性 / KM_2Oーランジュヴァン方程式 / 因果性の検定 / 定常性の検定 / 非線形予測問題 / KM_2O-ランジュヴァン方程式論 / 国際研究者交流(英国 Oxford) / 量子論の基礎 / 非標準論理 / 不完全性 / ゲーデル宇宙 / 量子力学の基礎 / 元始宇宙 / ゲーデル宇宙と宇宙背景放射 / 国際情報交換 / 科学法則の改訂可能性 / モノイダル・カテゴリー / 古典現象 / 物理法則と経験データ / 不完全性定理 / 圏論の応用 / 量子論理 / 量子力学の 基礎 / 部分構造論理 / 時空 / 宇宙論 / 宇宙物理 / 圏論 / 国際研究者交流 / 哲学 / 非線型ディラック方程式 / 非線型分散方程式 / 非線型シュレディンガー方程式 / 非線型波動方程式 / 逆問題 / 散乱理論 / 非線型分散型方程式 / 非線型双曲型方程式 / Two subfactors / Orthogonal pair / commuting square / Augle / Subfactor / II_1-factor Less
  • Research Projects

    (24 results)
  • Research Products

    (147 results)
  • Co-Researchers

    (43 People)
  •  Mathematical problems in quantum field theory and infinite dimensional analysisPrincipal Investigator

    • Principal Investigator
      Arai Asao
    • Project Period (FY)
      2015 – 2017
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Hokkaido University
  •  Mathematical analysis on quantum fieldsPrincipal Investigator

    • Principal Investigator
      ARAI Asao
    • Project Period (FY)
      2012 – 2014
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Hokkaido University
  •  Mathematical Analysis of Quantum FieldsPrincipal Investigator

    • Principal Investigator
      ARAI Asao
    • Project Period (FY)
      2009 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Hokkaido University
  •  Logic of Quantum Fluctuation Described in Terms of Category Theory : Investigation of the Origin of Space-Time

    • Principal Investigator
      NAKATOGAWA Koji
    • Project Period (FY)
      2008 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Philosophy/Ethics
    • Research Institution
      Hokkaido University
  •  Mathematical Problems and Infinite Dimensional Analysis in Quantum Field TheoryPrincipal Investigator

    • Principal Investigator
      ARAI Asao
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Hokkaido University
  •  Geometry and Analysis of Wave Fields

    • Principal Investigator
      OZAWA Tohru
    • Project Period (FY)
      2004 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (S)
    • Research Field
      Global analysis
    • Research Institution
      Waseda University
      Hokkaido University
  •  Flows and their symmetries on operator algebras

    • Principal Investigator
      KISHIMOTO Akitaka
    • Project Period (FY)
      2004 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Hokkaido University
  •  Tauberian and Mercerian theorems and analysis of stochastic financial processes

    • Principal Investigator
      INOUE Akihiko
    • Project Period (FY)
      2002 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  Mathematical Analysis of a System of a Dirac Particle Interacting With a Quantum Electronagnetid FieldPrincipal Investigator

    • Principal Investigator
      ARAI Asao
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Hokkaido University
  •  Mercerian and Tauberian theorems with applications

    • Principal Investigator
      INOUE Akihiko
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  Systematic study of quantum groups from the viewpoint of operator algebras

    • Principal Investigator
      YAMANOUCHI Takehiko
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  Mathematical Studies on Systems of Particles Interacting with Quantum FieldsPrincipal Investigator

    • Principal Investigator
      ARAI Asao
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (B).
    • Research Field
      Basic analysis
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  Tauberian and Mercerian theorems for Fourier transforms with applications

    • Principal Investigator
      INOUE Akihiko
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Hokkaido University
  •  A study of quantum groups by using the theory of unbounded operator algebras

    • Principal Investigator
      KUROSE Hideki
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Fukuoka Universityq
  •  Mathematical Problems in Quantum Field Theory and Infinite-Dimensional AnalysisPrincipal Investigator

    • Principal Investigator
      ARAI Asao
    • Project Period (FY)
      1996 – 1997
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  場の量子論における数学的諸問題と無限次元解析Principal Investigator

    • Principal Investigator
      新井 朝雄
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Hokkaido University
  •  Quantization

    • Principal Investigator
      KISHIMOTO Akitaka
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  場の量子論および統計力学における数学的諸問題と無限次元解析Principal Investigator

    • Principal Investigator
      新井 朝雄
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Hokkaido University
  •  場の量子論および統計力学における数学的諸問題と無限次元解析Principal Investigator

    • Principal Investigator
      新井 朝雄
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Hokkaido University
  •  作用素環の部分環の構造と角度

    • Principal Investigator
      綿谷 安男
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Hokkaido University
  •  Study on non-commutative dynamical systems

    • Principal Investigator
      KISHIMOTO Akitaka
    • Project Period (FY)
      1992 – 1993
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      Hokkaido University
  •  A study of stationarity and causality based on the theory of KM_2O-Langevin equations

    • Principal Investigator
      OKABE Yasunori
    • Project Period (FY)
      1991 – 1992
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Hokkaido University
  •  GEOMETRY OF MANIFOLDS

    • Principal Investigator
      SUZUKI Haruo
    • Project Period (FY)
      1987 – 1988
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      代数学・幾何学
    • Research Institution
      DEPARTMENT OF MATHEMATICS, HOKKAIDO UNIVERSITY
  •  ON THE THEORY OF KMO-LANGEVIN EQUATIONS WITH APPLICATIONS

    • Principal Investigator
      OKABE YASUNORI
    • Project Period (FY)
      1986 – 1987
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      HOKKAIDO UNIVERSITY

All 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 Other

All Journal Article Presentation Book

  • [Book] Analysis on Fock Spaces and Mathematical Theory of Quantum Fields2018

    • Author(s)
      Asao Arai
    • Total Pages
      862
    • Publisher
      World Scientific
    • ISBN
      9789813207110
    • Data Source
      KAKENHI-PROJECT-15K04888
  • [Book] Functional Analysis and Operator Theory for Quantum Physics2017

    • Author(s)
      Asao Arai 他 分担執筆 (J. Dittrich 他編集)
    • Total Pages
      597
    • Publisher
      European Mathematical Society
    • ISBN
      9783037191750
    • Data Source
      KAKENHI-PROJECT-15K04888
  • [Book] 物理学の数理2012

    • Author(s)
      新井朝雄
    • Total Pages
      531
    • Publisher
      丸善出版
    • Data Source
      KAKENHI-PROJECT-24540154
  • [Book] 量子数理物理学における汎関数積分法2010

    • Author(s)
      新井朝雄
    • Total Pages
      411
    • Publisher
      共立出版
    • Data Source
      KAKENHI-PROJECT-21540158
  • [Book] 量子数理物理学における汎関数積分法2010

    • Author(s)
      新井朝男
    • Total Pages
      411
    • Publisher
      共立出版
    • Data Source
      KAKENHI-PROJECT-20520002
  • [Book] 量子数理物理学における汎関数積分法2010

    • Author(s)
      新井朝雄
    • Total Pages
      411
    • Publisher
      共立出版
    • Data Source
      KAKENHI-PROJECT-20520002
  • [Book] 物理の中の対称性2008

    • Author(s)
      新井朝男
    • Total Pages
      308
    • Publisher
      日本評論社
    • Data Source
      KAKENHI-PROJECT-20520002
  • [Book] 物理の中の対称性2008

    • Author(s)
      新井朝雄
    • Total Pages
      308
    • Publisher
      日本評論社
    • Data Source
      KAKENHI-PROJECT-16104002
  • [Book] 物理の中の対称性2008

    • Author(s)
      新井朝雄
    • Total Pages
      308
    • Publisher
      日本評論社
    • Data Source
      KAKENHI-PROJECT-20520002
  • [Book] 量子統計力学の数理2008

    • Author(s)
      新井朝雄
    • Total Pages
      366
    • Publisher
      共立出版
    • Data Source
      KAKENHI-PROJECT-16104002
  • [Book] 量子統計力学の数理2008

    • Author(s)
      新井朝雄
    • Total Pages
      366
    • Publisher
      共立出版
    • Data Source
      KAKENHI-PROJECT-20520002
  • [Book] 量子統計力学の数理2008

    • Author(s)
      新井朝男
    • Total Pages
      366
    • Publisher
      共立出版
    • Data Source
      KAKENHI-PROJECT-20520002
  • [Book] 量子現象の数理(朝倉物理学体系12)2006

    • Author(s)
      新井朝雄
    • Total Pages
      535
    • Publisher
      朝倉書店
    • Data Source
      KAKENHI-PROJECT-16104002
  • [Book] 量子現象の数理2006

    • Author(s)
      新井朝雄
    • Total Pages
      535
    • Publisher
      朝倉書店
    • Data Source
      KAKENHI-PROJECT-17340032
  • [Book] 現代物理数学ハンドブック2005

    • Author(s)
      新井朝雄
    • Total Pages
      707
    • Publisher
      朝倉書店
    • Data Source
      KAKENHI-PROJECT-17340032
  • [Book] 現代物理数学ハンドブック2005

    • Author(s)
      新井朝雄
    • Total Pages
      707
    • Publisher
      朝倉書店
    • Data Source
      KAKENHI-PROJECT-16104002
  • [Journal Article] 量子場の数理解析2017

    • Author(s)
      新井朝雄
    • Journal Title

      数学

      Volume: 69 Pages: 255-279

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K04888
  • [Journal Article] Inequivalence of quantum Dirac fields of different masses and the underlying general structures involved2017

    • Author(s)
      Asao Arai
    • Journal Title

      EMS Series of Congress Reports: Functional Analysis and Operator Theory for Quantum Physics

      Volume: 印刷中

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-15K04888
  • [Journal Article] Ultra-Weak Time Operators of Schroedinger Operators2017

    • Author(s)
      Asao Arai and Fumio Hiroshima
    • Journal Title

      Annales Henri Poincare

      Volume: 16 Issue: 9 Pages: 2995-3033

    • DOI

      10.1007/s00023-017-0586-x

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K04888
  • [Journal Article] Ultra-weak time operators of Schroedinger operators2017

    • Author(s)
      Asao Arai, Fumio Hiroshima
    • Journal Title

      Annales Henri Poincare

      Volume: 印刷中

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-15K04888
  • [Journal Article] Upper bounds on the degeneracy of the ground state in quantum field models2016

    • Author(s)
      Asao Arai, Daiju Funakawa
    • Journal Title

      Advances in Mathematical Physics

      Volume: 2016 Pages: 1-13

    • DOI

      10.1155/2016/8908413

    • NAID

      120005712480

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-15K04888
  • [Journal Article] Golden-Thompson type inequalities and functional integral approach to boson-fermion system2015

    • Author(s)
      Asao Arai
    • Journal Title

      RIMS Kokyuroku

      Volume: 1975 Pages: 24-31

    • Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-15K04888
  • [Journal Article] A special class of infinite dimensional Dirac operators on the abstract boson-fermion Fock space2014

    • Author(s)
      Asao Arai
    • Journal Title

      Journal of Mathematics

      Volume: 2014 Pages: 1-13

    • DOI

      10.1155/2014/713690

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-24540154
  • [Journal Article] Derivation of the Lamb shift from an effective Hamiltonian in nonrelativistic quantum ekectrodynamics2014

    • Author(s)
      Asao Arai
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: B45 Pages: 1-18

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-24540154
  • [Journal Article] A new asymptotic perturbation theory with applications to models of massless quantum fields2014

    • Author(s)
      Asao Arai
    • Journal Title

      Ann. Henri Poincare

      Volume: 15 Pages: 1145-1170

    • NAID

      120005607880

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-24540154
  • [Journal Article] Functional integral representations and Golden-Thompson inequalities in boson-fermion systems2013

    • Author(s)
      Asao Arai
    • Journal Title

      Reviews in Mathematical Physics

      Volume: 25 Issue: 08 Pages: 1350015-1350015

    • DOI

      10.1142/s0129055x13500153

    • NAID

      120005333619

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540154
  • [Journal Article] A New Asymptotic Perturbation Theory with Applications to Models of Massless Quantum Fields2013

    • Author(s)
      Asao Arai
    • Journal Title

      Annales Henri Poincaré

      Volume: - Issue: 6 Pages: 1145-1170

    • DOI

      10.1007/s00023-013-0271-7

    • NAID

      120005607880

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540154
  • [Journal Article] A Class of -Dimensional Dirac Operators with a Variable Mass2013

    • Author(s)
      Asao Arai and Dayantsolmon Dagva
    • Journal Title

      ISRN Mathematical Analysis

      Volume: 2013 Pages: 1-13

    • DOI

      10.1155/2013/913413

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540154
  • [Journal Article] Hilbert Space Representations of Generalized Canonical Commutation Relations2013

    • Author(s)
      Asao Arai
    • Journal Title

      Journal of Mathematics

      Volume: 2013 Pages: 1-7

    • DOI

      10.1155/2013/308392

    • NAID

      120006459709

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540154
  • [Journal Article] Heisenberg operators of a Dirac particle interacting with the quantum radiation field2011

    • Author(s)
      Asao Arai
    • Journal Title

      J.Math.Anal.Appl.

      Volume: 382 Issue: 2 Pages: 714-730

    • DOI

      10.1016/j.jmaa.2011.04.081

    • NAID

      120006459651

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540158
  • [Journal Article] Spectral analysis of an effective Hamiltonian in non-relativistic quantum electrodynamics2011

    • Author(s)
      Asao Arai
    • Journal Title

      Ann.Henri Poincare

      Volume: 12 Pages: 119-152

    • NAID

      120002777840

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20520002
  • [Journal Article] Some Mathematical Aspects of Quantum Zeno Effect2011

    • Author(s)
      Asao Arai, Toru Fuda
    • Journal Title

      Lett.Math.Phys.

      Volume: 100 Issue: 3 Pages: 245-260

    • DOI

      10.1007/s11005-011-0539-0

    • NAID

      120006459680

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540158, KAKENHI-PROJECT-24540154
  • [Journal Article] Representations of quantum phase spaces with infinite degrees of freedom, Mathematical Quantum Field Theory and Renormalization Theory2011

    • Author(s)
      Asao Arai
    • Journal Title

      COE Lecture Note

      Volume: Vol.30 Pages: 92-102

    • Data Source
      KAKENHI-PROJECT-21540158
  • [Journal Article] Spectral analysis of an effective Hamiltonianin nonrelativistic quantum electrodynamics2011

    • Author(s)
      Asao Arai
    • Journal Title

      Ann. Henri Poincare

      Volume: 12 Pages: 119-152

    • Data Source
      KAKENHI-PROJECT-21540158
  • [Journal Article] On a general form of time operators of a Hamiltonian with purely discrete spectrum2011

    • Author(s)
      Asao Arai
    • Journal Title

      Quantum Bio-Informatics IV

      Pages: 41-50

    • Data Source
      KAKENHI-PROJECT-21540158
  • [Journal Article] On a general form of time operators of a Hamiltonian with purely discrete spectrum2011

    • Author(s)
      Asao Arai
    • Journal Title

      Quantum Bio-Informatics

      Volume: IV Pages: 41-50

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540158
  • [Journal Article] Heisenberg operators of a Dirac particle interacting with the quantum radiation field2011

    • Author(s)
      Asao Arai
    • Journal Title

      J. Math. Anal.

      Volume: 382 Pages: 714-730

    • NAID

      120006459651

    • Data Source
      KAKENHI-PROJECT-21540158
  • [Journal Article] Fujimoto, Formation history of metal-poor halo stars with the hierarchical model and the effect of interstellar matter accretion on the most metal-poor stars2010

    • Author(s)
      Yutaka Komiya, Asao Habe, Takuma Suda, Masayuki Y
    • Journal Title

      The Astrophysical Journal

      Volume: Vol.717 Pages: 542-561

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20520002
  • [Journal Article] Formation History of Metal-poor Halo Stars with the Hierarchical Model and the Effect of Interstellar Matter Accretion on the Most Metal-poor Stars2010

    • Author(s)
      Komiya, Asao Habe, Takuma Suda, Masayuki .Fujimoto
    • Journal Title

      The Astrophysical ournal vol.717

      Pages: 542-561

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20520002
  • [Journal Article] Formation History of Metal-poor Halo Stars with the Hierarchical Model and the Effect of Interstellar Matter Accretion on the Most Metal-poor Stars2010

    • Author(s)
      Y.Komiya, Asao Habe, T.Suda, et.al.
    • Journal Title

      The Astrophysical Journal

      Volume: 717 Pages: 51-62

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20520002
  • [Journal Article] Strong time operators in algebraic quantum mechanics and quantum field theory2010

    • Author(s)
      Asao Arai
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: B16 Pages: 1-13

    • NAID

      120002695801

    • Data Source
      KAKENHI-PROJECT-21540158
  • [Journal Article] Hilbert space representations of quantum phase spaces with general degrees of freedom2010

    • Author(s)
      Asao Arai
    • Journal Title

      RIMS Kokyuroku

      Volume: 1,705 Pages: 51-62

    • Data Source
      KAKENHI-PROJECT-20520002
  • [Journal Article] Strong time operators in algebraic quantum mechanics and quantum field theory2010

    • Author(s)
      Arai Asao
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: B16 Pages: 40-921

    • NAID

      120002695801

    • Data Source
      KAKENHI-PROJECT-20520002
  • [Journal Article] Hilbert space representations of quantum phase spaces with general degrees of freedom2010

    • Author(s)
      Asao Arai
    • Journal Title

      RIMS Kokyuroku

      Volume: 1705 Pages: 51-62

    • Data Source
      KAKENHI-PROJECT-21540158
  • [Journal Article] Time operators of a Hamiltonian with purely discrete spectrum2009

    • Author(s)
      A. Arai
    • Journal Title

      Rev. Math. Phys. 20

      Pages: 951-978

    • NAID

      120001152965

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16104002
  • [Journal Article] Construction of a Weyl representation from a weak Weyl representation of the canonical commutation relation2009

    • Author(s)
      A. Arai
    • Journal Title

      Lett. Math. Phys. 20

      Pages: 201-211

    • NAID

      120000951772

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16104002
  • [Journal Article] Necessary and sufficient conditions for a Hamiltonian with discrete eigenvalues to have time operator2009

    • Author(s)
      Asao Arai
    • Journal Title

      Letters in Mathematical Physics

      Volume: Vol.87 Pages: 67-80

    • NAID

      120001177143

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20520002
  • [Journal Article] Necessary and sufficient conditions for a Hamiltonian with discrete eigenvalues to have time operators2009

    • Author(s)
      Asao Arai
    • Journal Title

      Letters in Mathematical Physics

      Volume: 87 Pages: 67-80

    • NAID

      120001177143

    • Data Source
      KAKENHI-PROJECT-21540158
  • [Journal Article] Necessary and sufficient conditions for a Hamiltonian with discrete eigenvalues to have time operators2009

    • Author(s)
      新井朝雄(Asao Arai)
    • Journal Title

      Letters in Mathematical Physics 187

      Pages: 67-80

    • NAID

      120001177143

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20520002
  • [Journal Article] Necessary and sufficient conditions for a Hamiltonian with discrete eigenvalues to have time operators2009

    • Author(s)
      A. Arai
    • Journal Title

      Lett. Math. Phys. 87

      Pages: 67-80

    • NAID

      120001177143

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16104002
  • [Journal Article] Necessary and sufficient conditions for a Hamiltonian with discrete eigenvalues to have time operator2009

    • Author(s)
      Asao Arai
    • Journal Title

      Letters in Mathematical Physics vol.87

      Pages: 67-80

    • NAID

      120001177143

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20520002
  • [Journal Article] Time operators of a Hamiltonian with purely discrete spectrum2008

    • Author(s)
      A. Arai, Y. Matsuzawa
    • Journal Title

      Rev. Math. Phys. 20

      Pages: 951-978

    • NAID

      120001152965

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16104002
  • [Journal Article] Some aspects of time operators, in "Quantum Bio-lnformatios" (Editors : L. Accardi, W. Freudenberg and M. Ohya)2008

    • Author(s)
      A. Arai
    • Journal Title

      World Scientific

      Pages: 26-35

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16104002
  • [Journal Article] On the uniqueness of weak Weyl representations of the canonical commutation relation2008

    • Author(s)
      A. Arai
    • Journal Title

      Lett. Math. Phys. 85

      Pages: 15-25

    • NAID

      120001177144

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16104002
  • [Journal Article] Time operators of a Hamiltonian with purely discrete spectrum2008

    • Author(s)
      Asao Arai, Yasumichi Mat suzawa
    • Journal Title

      Reviews in Mathematical Physics 20

      Pages: 951-978

    • NAID

      120001152965

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20520002
  • [Journal Article] A class of Hilbert space representations of the quantum plane and the quantum algebra Uq(s12)2008

    • Author(s)
      Asao Arai(新井朝雄)
    • Journal Title

      Reports on Mathematical Physics 61

      Pages: 171-180

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20520002
  • [Journal Article] A class of Hilbert space representations of the quantum plane and the quantum algebra Uq(sl2)2008

    • Author(s)
      A. Arai
    • Journal Title

      Rep. Math. Phys. 61

      Pages: 171-180

    • NAID

      120001206925

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16104002
  • [Journal Article] Heisenberg operators, invariant domains and Heisenberg equations of motion2007

    • Author(s)
      Asao Arai
    • Journal Title

      Rev. Math. Phys. 19

      Pages: 1045-1069

    • NAID

      120000950254

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17340032
  • [Journal Article] Reguralities of ground states of Quantum field models2007

    • Author(s)
      A. Arai, M. Hirokawa , et. al.
    • Journal Title

      Kyushu J. Mathematics 61

      Pages: 321-372

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540181
  • [Journal Article] Spectrum of time operators.2007

    • Author(s)
      Asao Arai
    • Journal Title

      Lett. Math. Phys. 80

      Pages: 11-17

    • NAID

      120000950263

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17340032
  • [Journal Article] Heisenberg operators, invariant domains and Heisenberg equations of motion2007

    • Author(s)
      Asao Arai
    • Journal Title

      Reviews in Mathematical Physics 19

    • NAID

      120000950254

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340032
  • [Journal Article] Heisenberg operators, invariant domains and Heisenberg equations of motion2007

    • Author(s)
      Asao Arai
    • Journal Title

      Reviews in Mathematical Physics 61

    • NAID

      120000950254

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340032
  • [Journal Article] Heisenberg operators, invariant domains and Heisenberg equations of motion2007

    • Author(s)
      A. Arai
    • Journal Title

      Reviews in Mathematical Physics 19

      Pages: 1045-1069

    • NAID

      120000950254

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16540181
  • [Journal Article] Regularities of ground states of quantum field models2007

    • Author(s)
      A. Arai, M. Hirokawa and F. Hiroshima
    • Journal Title

      Kyushu J. Math. 61

    • NAID

      110006377526

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17340032
  • [Journal Article] Heisenberg operators, invariant domains and Heisenberg equations of motion2007

    • Author(s)
      A. Arai
    • Journal Title

      Rev. Math. Phys. 19

      Pages: 1045-1069

    • NAID

      120000950254

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16104002
  • [Journal Article] Spectrum of time operators2007

    • Author(s)
      A. Arai
    • Journal Title

      Letters in Mathematical Physics 80

      Pages: 211-221

    • NAID

      120000950263

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16540181
  • [Journal Article] Spectrum of time operators2007

    • Author(s)
      A. Arai
    • Journal Title

      Lett. Math. Phys. 80

      Pages: 211-221

    • NAID

      120000950263

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16104002
  • [Journal Article] Regularities of ground states of quantum field models2007

    • Author(s)
      A. Arai, M. Hirokawa , et. al.
    • Journal Title

      Kyushu J. Mathematics 61

      Pages: 321-372

    • NAID

      110006377526

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16540181
  • [Journal Article] Regularities of ground states of quantum field models2007

    • Author(s)
      A. Arai
    • Journal Title

      Kyushu J. Math. 61

      Pages: 321-372

    • NAID

      110006377526

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16104002
  • [Journal Article] Regularities of ground states of quantum field models2007

    • Author(s)
      A. Arai, M. Hirokawa, F. Hiroshima
    • Journal Title

      Kyushu Journal of Mathematics 61

    • NAID

      110006377526

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340032
  • [Journal Article] Spectrum of time operators2007

    • Author(s)
      Asao Arai
    • Journal Title

      Letters in Mathematical Physics 80

    • NAID

      120000950263

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340032
  • [Journal Article] Heisenberg Operators, invariant domains and Heisenberg equations of motion2007

    • Author(s)
      A. Arai
    • Journal Title

      Reviews in Mathematical Physics 19

      Pages: 1045-1069

    • NAID

      120000950254

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16540181
  • [Journal Article] Mathematical analysis of a generalized chiral quark soliton model2006

    • Author(s)
      Asao Arai
    • Journal Title

      SIGMA 2

    • Data Source
      KAKENHI-PROJECT-17340032
  • [Journal Article] Non-relativistic limit of a Dirac polaron in relativistic quantum electrodynamics2006

    • Author(s)
      Asao Arai
    • Journal Title

      Letters in Mathematical Physics 77

      Pages: 283-290

    • NAID

      120000960724

    • Data Source
      KAKENHI-PROJECT-17340032
  • [Journal Article] Non-relativistic limit of a Dirac polaron in relativistic quantum electrodynamics2006

    • Author(s)
      A. Arai
    • Journal Title

      Letters in Mathematical Physics 77

      Pages: 283-290

    • NAID

      120000960724

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16540181
  • [Journal Article] Non-relativistic Limit of a Dirac Polaron in Relativistic Quantum Electrodynamics2006

    • Author(s)
      A. Arai
    • Journal Title

      Lett. Math. Phys. 77

      Pages: 283-290

    • NAID

      120000960724

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16104002
  • [Journal Article] Non-relativistic limit of a Dirac polaron in relativistic quantum electrodynamics.2006

    • Author(s)
      新井朝雄
    • Journal Title

      Letters in Mathematical Physics 77

      Pages: 283-290

    • NAID

      120000960724

    • Data Source
      KAKENHI-PROJECT-16540181
  • [Journal Article] Generalized time operators and decay of quantum dynamics2006

    • Author(s)
      Asao Arai
    • Journal Title

      京都大学数理解析研究所講究録 1510

      Pages: 70-86

    • Data Source
      KAKENHI-PROJECT-17340032
  • [Journal Article] Mathematical analysis of a generalized chiral quark soliton model.2006

    • Author(s)
      新井朝雄
    • Journal Title

      Methods Appl.(SIGMA Symmetry Integrability Geom.) 2, paper018

      Pages: 12-12

    • Data Source
      KAKENHI-PROJECT-16540181
  • [Journal Article] Generalized weak Weyl relation and decay of quantum dynamics2005

    • Author(s)
      Asao Arai
    • Journal Title

      Reviews in Mathematical Physics 17・9

      Pages: 1071-1109

    • NAID

      120000953507

    • Data Source
      KAKENHI-PROJECT-17340032
  • [Journal Article] Spectral analysis of a Dirac operator with a meromorphic potential2005

    • Author(s)
      A. Arai, K. Hayashi
    • Journal Title

      J. Math. Anal. Appl. 306

      Pages: 440-461

    • NAID

      120001214702

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16540181
  • [Journal Article] Spectral properties of a Dirac operator in the chiral quark soliton model2005

    • Author(s)
      A.Arai
    • Journal Title

      Journal of Mathematical Physics 46

    • NAID

      120000953560

    • Data Source
      KAKENHI-PROJECT-16540181
  • [Journal Article] Spectral properties of a Dirac operator in the chiral quark solitonmodel2005

    • Author(s)
      A. Arai, K. Hayashi , et. al.
    • Journal Title

      J. Mathematical Physics 46

    • NAID

      120000953560

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16540181
  • [Journal Article] Generalized weak Weyl relation and decay of quantum Dynamics2005

    • Author(s)
      A. Arai
    • Journal Title

      Reviews in Mathematical Physics 17

      Pages: 1071-1109

    • NAID

      120000953507

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540181
  • [Journal Article] Spectral Analysis of a Dirac operator with a meromorphic potential2005

    • Author(s)
      A.Arai
    • Journal Title

      Journal of Mathematical Aanalysis and Applications 306

      Pages: 440-461

    • NAID

      120001214702

    • Data Source
      KAKENHI-PROJECT-16540181
  • [Journal Article] Generalized weak Weyl relation and decay of quantum dynamics2005

    • Author(s)
      A. Arai
    • Journal Title

      Reviews in Mathematical Physics 17

      Pages: 1071-1109

    • NAID

      120000953507

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16540181
  • [Journal Article] Generalized weak Weyl relation and decay of quantum dynamics2005

    • Author(s)
      A.Arai
    • Journal Title

      Reviews in Mathematical Physics 17

      Pages: 1071-1109

    • NAID

      120000953507

    • Data Source
      KAKENHI-PROJECT-16540181
  • [Journal Article] Enhanced binding in a model of an abstract quantum system coupled to a multi-component Bose field2004

    • Author(s)
      A.ARAI
    • Journal Title

      Pr.Inst.Mat.Nats, Akad.Nauk Ukr.Mat.Zastos 50

      Pages: 1244-1252

    • Data Source
      KAKENHI-PROJECT-16540181
  • [Journal Article] Spectral properties of a Dirac operator in chiral quark soliton model

    • Author(s)
      A. Arai, K. Hayashi, et. al.
    • Journal Title

      J. Mathematical Physics 46

    • NAID

      120000953560

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540181
  • [Presentation] Spectral analysis of infinite dimensional Dirac operators on an abstract boson-fermion Fock space2017

    • Author(s)
      Asao Arai
    • Organizer
      RIMS研究会「量子場の数理とその周辺 2017」,京都大学数理解析研究所
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04888
  • [Presentation] Inequivalence of quantum Dirac fields of different masses and general structures behind it2017

    • Author(s)
      Asao Arai
    • Organizer
      Physical and mathematical approaches to interacting particle systems---In honor of 70th birthday of Herbert Spohn
    • Place of Presentation
      東京都目黒区 東京工業大学
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04888
  • [Presentation] Inequivalence of quantum Dirac fields of different masses and general structures behind it2017

    • Author(s)
      Asao Arai
    • Organizer
      Physical and mathematical approaches to interacting particle systems---In honor of 70th birthday of Herbert Spohn, Tokyo Institute of Technology
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04888
  • [Presentation] Inequivalence of quantum Dirac fields of different masses and a general structure behind it2016

    • Author(s)
      Asao Arai
    • Organizer
      Mathematical quantum field theory and related topics
    • Place of Presentation
      福岡県福岡市 九州大学IMI
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04888
  • [Presentation] Golden-Thompson type inequalities in boson-fermion systems with applications to supersymmetric quantum systems2015

    • Author(s)
      Asao Arai
    • Organizer
      Symposium on Quantum Fields in Dynamical Nature, on the occasion of Professor Izumi Ojima's retirement
    • Place of Presentation
      京都大学益川ホール(京都府京都市)
    • Year and Date
      2015-03-05
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540154
  • [Presentation] Inequivalent Weyl representations of canonical commutation relations in an abstract Bose field theory2015

    • Author(s)
      Asao Arai
    • Organizer
      RIMS研究集会「量子場の数理とその周辺 2015」
    • Place of Presentation
      京都大学数理解析研究所,京都府京都市
    • Year and Date
      2015-10-07
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K04888
  • [Presentation] Functional integral representations in boson-fermion systems and applications2014

    • Author(s)
      Asao Arai
    • Organizer
      RIMS研究集会
    • Place of Presentation
      京都大学数理解析研究所(京都府京都市)
    • Year and Date
      2014-10-16
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540154
  • [Presentation] Asymptotic expansions in the coupling constant for the ground state energy of the generalized spin-boson model2013

    • Author(s)
      Asao Arai
    • Organizer
      International Workshop on Noncommutative Analysis and its Future Prospects
    • Place of Presentation
      北海道大学(札幌市)
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540154
  • [Presentation] A new asymptotic perturbation theory and applications to massless quantum fields2013

    • Author(s)
      Asao Arai
    • Organizer
      The 6th Pacific RIM Conference on Mathematics 2013
    • Place of Presentation
      札幌コンベンションセンター(北海道)
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540154
  • [Presentation] 相対論的量子電磁力学の数理2013

    • Author(s)
      新井朝雄
    • Organizer
      数理物理Summer School 2013
    • Place of Presentation
      東京大学(東京都目黒区)
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540154
  • [Presentation] Asymptotic expansions for the ground state energy of a model with a massless quantum field2013

    • Author(s)
      Asao Arai
    • Organizer
      RIMS研究集会「量子場の数理とその周辺」
    • Place of Presentation
      京都大学(京都市)
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540154
  • [Presentation] 新しい漸近的摂動論と質量ゼロの量子場理論への応用2013

    • Author(s)
      新井朝雄
    • Organizer
      九州大学数理学研究院数理物理学セミナー
    • Place of Presentation
      九州大学伊都キャンパス伊都図書館3F中セミナー室7
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540154
  • [Presentation] Quantum fields and analytic number theory2012

    • Author(s)
      新井朝雄
    • Organizer
      Workshop : Avoided? Crossing of Eigenvalue Curves, Non-commutative Harmonic Oscillator, Special Function and Number Theory
    • Place of Presentation
      九州大学稲盛センター(福岡市)(招待講演)
    • Year and Date
      2012-03-07
    • Data Source
      KAKENHI-PROJECT-21540158
  • [Presentation] Quantum fields and analytic number theory2012

    • Author(s)
      Asao Arai
    • Organizer
      Workshop on Avoided? Crossing of Eigenvalue Curves
    • Place of Presentation
      Kyushu University
    • Year and Date
      2012-03-07
    • Data Source
      KAKENHI-PROJECT-21540158
  • [Presentation] Rigorous derivation of the Lamb shift from an effective Hamiltonian in nonrelativistic quantum electrodynamics2011

    • Author(s)
      Asao Arai
    • Organizer
      Spectral and Scattering Theory and Related Topics, RIMS
    • Place of Presentation
      Kyoto University
    • Year and Date
      2011-12-14
    • Data Source
      KAKENHI-PROJECT-21540158
  • [Presentation] Mathematical aspects of conserved quantities in a general class of quantum systems2011

    • Author(s)
      Asao Arai
    • Organizer
      International Conference QBIC 2011
    • Place of Presentation
      Tokyo University of Science, Noda Campus 招待講演
    • Year and Date
      2011-03-07
    • Data Source
      KAKENHI-PROJECT-21540158
  • [Presentation] Spectral analysis of an effective Hamiltonian in nonrelativistic quantum electrodynamics2011

    • Author(s)
      Asao Arai
    • Organizer
      The 12th Northeastern Symposium on Mathematical Analysis
    • Place of Presentation
      Tohoku University 招待講演
    • Year and Date
      2011-02-21
    • Data Source
      KAKENHI-PROJECT-21540158
  • [Presentation] Mathematical aspects of conserved quantities in a general class of quantum systems2011

    • Author(s)
      Asao Arai
    • Organizer
      International Conference QBIC 2011
    • Place of Presentation
      Tokyo University of Science, Noda Campus
    • Year and Date
      2011-03-07
    • Data Source
      KAKENHI-PROJECT-21540158
  • [Presentation] Spectral analysis of an effective Hamiltonian in nonrelativistic quantum electrodynamics2011

    • Author(s)
      Asao Arai
    • Organizer
      The 12th Northeastern Symposium on Mathematical Analysis
    • Place of Presentation
      Tohoku University, Japan
    • Year and Date
      2011-02-21
    • Data Source
      KAKENHI-PROJECT-21540158
  • [Presentation] Hilbert space representations of a non-commutative algebra indexed by a real anti-symmetric matrix2011

    • Author(s)
      Asao Arai
    • Organizer
      Sapporo Workshop on Non-Commutative Analysis and Applications to Complex Phenomena
    • Place of Presentation
      Hokkaido University
    • Year and Date
      2011-09-02
    • Data Source
      KAKENHI-PROJECT-21540158
  • [Presentation] Rigorous derivation of the Lamb shift from an effective Hamiltonian in non-relativistic quantum electrodynamics2011

    • Author(s)
      新井朝雄
    • Organizer
      スペクトル・散乱理論とその周辺
    • Place of Presentation
      京都大学(京都市)(招待講演)
    • Year and Date
      2011-12-14
    • Data Source
      KAKENHI-PROJECT-21540158
  • [Presentation] Some mathematical aspects of a Dirac particle interacting with the quantum radiation field2010

    • Author(s)
      Asao Arai
    • Organizer
      Workshop on the Theory of Large Coulomb System
    • Place of Presentation
      National University Singapore, Institute for Mathematical Sciences
    • Year and Date
      2010-02-18
    • Data Source
      KAKENHI-PROJECT-21540158
  • [Presentation] Some mathematical aspects of a Dirac particle interacting with the quantum radiation field2010

    • Author(s)
      新井朝雄
    • Organizer
      Workshop on the theory of large Coulomb system
    • Place of Presentation
      Institute for Mathematical Sciences, National University of Singapore
    • Year and Date
      2010-02-18
    • Data Source
      KAKENHI-PROJECT-20520002
  • [Presentation] Time operators of a Hamiltonian with purely discrete spectrum2010

    • Author(s)
      Asao Arai
    • Organizer
      International Conference QBIC 2010
    • Place of Presentation
      Tokyo University of Science, Noda Campus
    • Year and Date
      2010-03-11
    • Data Source
      KAKENHI-PROJECT-21540158
  • [Presentation] Some mathematical aspects of a Dirac particle interacting with the quantum radiation field2010

    • Author(s)
      Asao Arai
    • Organizer
      Workshop on the theory of large Coulomb system
    • Place of Presentation
      National University of Singapore, Kent Ridge, Singapore
    • Year and Date
      2010-02-18
    • Data Source
      KAKENHI-PROJECT-21540158
  • [Presentation] Non-Weyl representations of canonical commutation relations and mathematical theoryof time operators2009

    • Author(s)
      新井朝雄
    • Organizer
      International Conference on “Schroedinger Equations and Related Topics"
    • Place of Presentation
      東京大学
    • Year and Date
      2009-01-07
    • Data Source
      KAKENHI-PROJECT-16104002
  • [Presentation] 任意の有限自由度の量子相空間のヒルベルト空間表現について2009

    • Author(s)
      新井朝雄
    • Organizer
      RIMS共同研究・京都大学基礎物理学研究所研究会
    • Place of Presentation
      京都大学基礎物理学研究所
    • Data Source
      KAKENHI-PROJECT-21540158
  • [Presentation] Philosophical aspects of time operators in quantum mechanics2009

    • Author(s)
      Asao Arai
    • Organizer
      Symmetry Festival 2009
    • Place of Presentation
      Budapest University of Technology and Economics (BME), Budapest, Hungary
    • Year and Date
      2009-08-03
    • Data Source
      KAKENHI-PROJECT-21540158
  • [Presentation] Representations of quantum phase spaces2009

    • Author(s)
      Asao Arai
    • Organizer
      International conference Mathematical Quantum Field Theory and Renormalization Theory
    • Place of Presentation
      Nishijin Plaza, Kyushu University, Fukuoka
    • Year and Date
      2009-11-28
    • Data Source
      KAKENHI-PROJECT-21540158
  • [Presentation] 任意の有限自由度の量子相空間のヒルベルト空間表現について2009

    • Author(s)
      新井朝雄
    • Organizer
      RIMS共同研究・京都大学基礎物理学研究所研究会「量子科学における双対性とスケール」
    • Place of Presentation
      京都大学基礎物理学研究所
    • Year and Date
      2009-11-04
    • Data Source
      KAKENHI-PROJECT-20520002
  • [Presentation] 時間作用素のいくつかの側面について2009

    • Author(s)
      新井朝雄
    • Organizer
      立命館大学談話会
    • Year and Date
      2009-09-16
    • Data Source
      KAKENHI-PROJECT-21540158
  • [Presentation] Philosophical aspects of time operators in quantum mechanics2009

    • Author(s)
      新井朝雄
    • Organizer
      Symmetry Festival 2009
    • Place of Presentation
      Budapest University of Technology and Economics, Hungary
    • Year and Date
      2009-08-03
    • Data Source
      KAKENHI-PROJECT-20520002
  • [Presentation] 正準交換関係の非ヴァイル型表現と時間作用素の理論2008

    • Author(s)
      新井朝雄
    • Organizer
      日本数学会秋季分科会, 函数解析分科会特別講演
    • Place of Presentation
      東京工業大学、東京
    • Year and Date
      2008-09-24
    • Data Source
      KAKENHI-PROJECT-20520002
  • [Presentation] Time operators in quantum field theory2008

    • Author(s)
      新井朝雄
    • Organizer
      「スペクトル・散乱理論とその周辺」RIMS研究集会
    • Place of Presentation
      京都大学
    • Year and Date
      2008-12-03
    • Data Source
      KAKENHI-PROJECT-16104002
  • [Presentation] 弱ヴァイル表現の一意性について2008

    • Author(s)
      新井朝雄
    • Organizer
      「非可換解析とミクロ・マクロ双対性」RIMS研究集会
    • Place of Presentation
      京都大学数理解析研究所、京都
    • Year and Date
      2008-11-04
    • Data Source
      KAKENHI-PROJECT-20520002
  • [Presentation] 正準交換関係の非ヴァイル型表現と時間作用素の理論2008

    • Author(s)
      新井朝雄
    • Organizer
      日本数学会秋季分科会函数解析分科会特別講演
    • Place of Presentation
      東京工業大学
    • Year and Date
      2008-09-24
    • Data Source
      KAKENHI-PROJECT-16104002
  • [Presentation] 弱ヴァイル表現の-意性について2008

    • Author(s)
      新井朝雄
    • Organizer
      「非可換解析とミクロ・マクロ双対性」RIMS研究集会
    • Place of Presentation
      京都大学
    • Year and Date
      2008-11-04
    • Data Source
      KAKENHI-PROJECT-16104002
  • [Presentation] 正準交換関係の非ヴァイル型表現と時間作用素の理論2008

    • Author(s)
      新井朝雄
    • Organizer
      日本数学会秋季分科会特別講演
    • Place of Presentation
      東京工業大学
    • Year and Date
      2008-09-24
    • Data Source
      KAKENHI-PROJECT-16104002
  • [Presentation] 準交換関係の非ヴァイル型表現と時間作用素の理論2008

    • Author(s)
      新井朝雄
    • Organizer
      日本数学会秋季分科会,函数解析分科会
    • Place of Presentation
      東京工業大学,東京(特別講演)
    • Year and Date
      2008-09-24
    • Data Source
      KAKENHI-PROJECT-20520002
  • [Presentation] 準交換関係の非ヴァイル型表現と時間作用素の理論2008

    • Author(s)
      新井朝男
    • Organizer
      日本数学会秋季分科会、函数解析分科会、特別講演
    • Place of Presentation
      東京工業大学、東京
    • Year and Date
      2008-09-24
    • Data Source
      KAKENHI-PROJECT-20520002
  • [Presentation] Some Aspects of representations of a quantum group in a two-dimensional system with a singular gauge potential2007

    • Author(s)
      Asao Arai
    • Organizer
      The XVIth International Colloquium"Integrable Systems and Quantum Symmetries"
    • Place of Presentation
      チェコ工科大学
    • Year and Date
      2007-06-14
    • Data Source
      KAKENHI-PROJECT-17340032
  • [Presentation] Some aspects of representations of a quantum group in a two-dimensionalsystem with a singular gauge potential2007

    • Author(s)
      A. Arai
    • Organizer
      The XVIth International Colloquium"Integrable Systems and Quantum Symmetries"
    • Place of Presentation
      Prague, Czech Republic
    • Year and Date
      2007-06-14
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540181
  • [Presentation] Spectral properties of time operators2007

    • Author(s)
      Asao Arai
    • Organizer
      International Conference in QBIC
    • Place of Presentation
      Tokyo University of Science (Noda Campus)
    • Year and Date
      2007-05-14
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17340032
  • [Presentation] Some aspects of time operators2007

    • Author(s)
      Asao Arai
    • Organizer
      Seminar at Institut f\" ur Theoretische Physik
    • Place of Presentation
      Universit\" at Wien
    • Year and Date
      2007-06-18
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17340032
  • [Presentation] Some aspects of representations of a quantum group in a two-dimensional system with a singular gauge potential2007

    • Author(s)
      Asao Arai
    • Organizer
      The XVIth International Colloquium "Integrable Systems and Quantum Symmetries"
    • Place of Presentation
      チェコ工科大学
    • Year and Date
      2007-06-14
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17340032
  • [Presentation] 時間作用素のいくつかの側面について2007

    • Author(s)
      新井 朝雄
    • Organizer
      京都大学数理解析研究所研究集会「非可換解析とミクロ・マクロ双対性」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2007-10-15
    • Data Source
      KAKENHI-PROJECT-16104002
  • [Presentation] Spectral properties of time operators2007

    • Author(s)
      A. Arai
    • Organizer
      International Conference in QBIC 2007
    • Place of Presentation
      Noda, Japan
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540181
  • [Presentation] Some aspects of time operators2007

    • Author(s)
      Asao Arai
    • Organizer
      ウィーン大学理論物理学セミナー
    • Place of Presentation
      シュレーディンガー国際数理物理研究所
    • Year and Date
      2007-06-18
    • Data Source
      KAKENHI-PROJECT-17340032
  • [Presentation] Some aspects of representations of a quantum group in a two-dimensional system with a singular gauge potential,2007

    • Author(s)
      新井 朝雄
    • Organizer
      The XVIth International Colloquium "Integrable" Systems and Quantum Symmetries
    • Place of Presentation
      Czech Technical University
    • Year and Date
      2007-06-14
    • Data Source
      KAKENHI-PROJECT-16104002
  • [Presentation] Some aspects of representations of a quantum group in a two-dimensionalsystem with a singular gauge potential2007

    • Author(s)
      Asao Arai
    • Organizer
      The XVIth International Colloquium "Integrable Systems and Quantum Symmetries
    • Place of Presentation
      Czech Technical University, Prague.
    • Year and Date
      2007-06-14
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17340032
  • [Presentation] Some aspects of representations of a quantum group in a two-dimensional system with a singular gauge potential2007

    • Author(s)
      A. Arai
    • Organizer
      XVIth International Colloquium "Integrable Systems and Quantum Symmetry"
    • Year and Date
      2007-06-14
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540181
  • [Presentation] Spectral properties of time operator2007

    • Author(s)
      A. Arai
    • Organizer
      International Conference in QBIC 2007
    • Place of Presentation
      Prague, Czech Repub.
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540181
  • [Presentation] 非相対論的量子電磁力学の数理2007

    • Author(s)
      新井 朝雄
    • Organizer
      連続講義
    • Place of Presentation
      京都大学数理解析研究所
    • Data Source
      KAKENHI-PROJECT-16104002
  • [Presentation] Spectral properties of time operators2007

    • Author(s)
      Asao Arai
    • Organizer
      International Conference in QBIC
    • Place of Presentation
      東京理科大学
    • Year and Date
      2007-03-14
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17340032
  • [Presentation] Some aspects of time operators2007

    • Author(s)
      Asao Arai
    • Organizer
      ウィーン大学理論物理学セミナー
    • Place of Presentation
      シュレーディンガー国際数理物理学研究所
    • Year and Date
      2007-06-18
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17340032
  • [Presentation] Some aspects of time operators2007

    • Author(s)
      新井 朝雄
    • Organizer
      Lecture at Institut fur Theoretische Physik
    • Place of Presentation
      Universitat Wien
    • Year and Date
      2007-06-18
    • Data Source
      KAKENHI-PROJECT-16104002
  • [Presentation] Fundamental symmetry principle in quantum mechanics-a philosophical view point2006

    • Author(s)
      A. Arai
    • Organizer
      Symmetry Festival 2006
    • Place of Presentation
      Budapest, Hungary
    • Year and Date
      2006-08-13
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540181
  • [Presentation] Fundamental symmetry principle in quantum mechanics --a philosophical view point2006

    • Author(s)
      A. Arai
    • Organizer
      Symmetry Festival 2006
    • Place of Presentation
      Budapest, Hungary
    • Year and Date
      2006-08-13
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540181
  • 1.  KISHIMOTO Akitaka (00128597)
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  • 2.  INOUE Akihiko (50168431)
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  • 19.  TANAKA Hajime (50000716)
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    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  NAKAGAMI Yoshiomi (70091246)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  INOUE Atsushi (50078557)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  OGI Hidekazu (30248471)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 33.  NAKAZATO Hiroshi (10188922)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 34.  MAEJIMA Makoto (90051846)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 35.  KASAHARA Yuji (60108975)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 36.  UEDA Yoshimichi (00314724)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 37.  MITOMA ITARU (40112289)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 38.  KAMISHIMA Yoshinobu (10125304)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 39.  IZUMIYA Shyuichi (80127422)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 40.  NISHIMORI Toshiyuki (50004487)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 41.  日比 孝之 (80181113)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 42.  安藤 毅 (10001679)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 43.  森本 徹 (80025460)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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