Hirokawa Masao 廣川真男

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HIROKAWA Masao 廣川真男

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Researcher Number	70282788
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Affiliation (Current)	2025: 九州大学, システム情報科学研究院, 教授
Affiliation (based on the past Project Information) *help	2020 – 2022: 九州大学, システム情報科学研究院, 教授 2017 – 2018: 広島大学, 工学研究科, 教授 2016: 広島大学, 工学研究院, 教授 2016: 広島大学, 大学院工学研究院, 教授 2014 – 2016: 広島大学, 工学(系)研究科(研究院), 教授 … More 2013: 岡山大学, 大学院・自然科学研究院, 教授 2010 – 2013: 岡山大学, 自然科学研究科, 教授 2005 – 2011: OKAYAMA UNIVERSITY, Department of Mathematics, Professor, 大学院・自然科学研究科, 教授 2005 – 2006: 岡山大学, 大学院自然科学研究科, 教授 2004: Okayama University, Fuculty of Science, Professor, 理学部, 教授 1998 – 2003: 岡山大学, 理学部, 助教授 1997: 東京学芸大学, 教育学部, 講師 Less
Review Section/Research Field	Principal Investigator Basic analysis / Global analysis / Basic Section 13010:Mathematical physics and fundamental theory of condensed matter physics-related / Mathematical Sciences in Search of New Cooperation / 解析学 Except Principal Investigator Global analysis / Basic analysis / Basic analysis / Algebra / Algebra / Medium-sized Section 60:Information science, computer engineering, and related fields / Global analysis
Keywords	Principal Investigator 場の量子論 / 深強結合領域 / 超強結合領域 / 量子相転移 / Nelson model / Pauli-Fierz model / ネルソン模型 / 紫外特異 / 非相対論的量子電磁気学 / Rabi model … More / シュレディンガーの猫状態 / 裸の状態 / 物理的状態 / 実光子 / 仮想光子 / 一般化された量子Rabi模型 / 量子ラビ模型 / 一般化された量子ラビ模型 / 回路量子電磁力学 / カイラル性 / 自発的超対称性の破れ / 超対称性 / ラビ模型 / 非可換調和振動子 / energy level crossing / シュレディンガー作用素 / 強結合領域 / 位相因子 / 境界条件 / 自己共役拡張 / 基底状態 / スピン・ボゾン模型 / 原子・光間相互作用 / 人工原子 / ２次の相互作用 / 一般化されたラビ模型 / 光子 / シュレディンガーの猫風状態 / 実粒子 / 仮想粒子 / 質量生成 / ヒッグスポテンシャル / 強結合極限 / operator theory / binding energy / ground state / two-body system / phonon / non-relativistic nuantum field theory / bipolaron / ポーラロン / 作用素解析学 / 結合エネルギー / 二体問題 / フォノン / 非相対論的場の量子論 / バイポーラロン / Ultraviolet Cutoff / Operator Analysis / Nonrelativistic QED / 作用素解析 / ultraviolet catastrophe / infrared catastrophe / nonrelativistic QED / Wigner-Weisskoph model / spin-boson model / Nelson Model / パウリ・フイエルツ模型 / パウリ・フィエルツ模型 / 赤外特異 / Jaynes-Cummings model / Rabi 模型 / 接合を持った量子細線 / ディラック粒子 / 回路電磁気学 / カイラル対称性 / 超対称性量子力学 / Jaynes-Cumming model / 超対称性の自発的破れ / N=2超対称量子力学 / Rabi モデル / duality / quasi-dark state / dark state / コヒーレント状態 / 量子ラビ・モデル / メゾン・ペア理論 / 応用数理物理学 / 量子情報デバイス / トンネル効果 / 量子細線 / スピントロニック量子ビット / 結合定数 / ジェインズ・カミングス・ハミルトニアン / ラビ・ハミルトニアン / 超対称量子力学 / １モード・レーザー光 / ２準位原子 / エネルギー準位交差 / 量子ビット / ディラック作用素 / 行列係数を持つシュレディンガー作用素 / cavity / 非可換振動子 / 特異点 / 共振器量子電磁気学 / スペクトル解析 / 回路量子電磁気学 / アハラノフ・ボーム位相 / 自己共役拡大 / 自己共役作用素 / 特異性 / エネルギーレベル交差 / 基底状態相転移 / 基底エネルギー / 固有状態 / 無限次元解析 / 無限次元解析学 / 長時間挙動 / カノニカル相関函数 / 逆問題 / 量子系 / ボ-ス場 / 相関関数 / 最低固有エネルギー / アハラノフ・ボーム効果 / ハイゼンベルグとワイルの正準交換関係 / 回転波近似 / 量子力学 … More Except Principal Investigator Aharonov-Bohm effect / アハラノフ・ボーム効果 / 基底状態 / スペクトル解析 / 場の量子論 / シュレディンガー作用素 / スペクトル散乱理論 / scattering by magnetic field / 中心極限定理 / レヴィー過程 / 汎関数積分 / 散乱振幅 / 磁場散乱 / 散乱理論 / スペクトル理論 / Pauli operator / Dirac operator / resonance at zero energy / QED / magnetic scattering / ランダムウォーク / resolvent convergence / 磁場による散乱 / 磁場をもつシュレディンガー作用素 / Dutta multiplicity / くりこみ群 / くりこみ / ギブス測度 / シグマ模型 / ナヴィエ・ストークス方程式 / 乱流 / 臨界現象 / 相転移 / 繰りこみ群 / 半群 / 無限次元解析 / 準古典漸近解析 / 関数方程式の大域理論 / 写像類群 / 組紐群 / タイヒミュラー空間 / リーマン面の被覆 / グロタンディーク・デッサン / マイクロプロセッサ / 単一磁束量子回路 / 超伝導コンピューティング / コンピュータアーキテクチャ / マリアヴァン解析 / ラフパス理論 / 離散幾何解析 / 一意性定理 / 確率論 / ベキ零被覆グラフ / 結晶格子 / rough path理論 / 確率偏微分方程式 / 微分作用素 / 確率解析 / 経路空間上のギブス測度 / 有効質量 / パウリ・フィールツ模型 / 埋蔵固有値 / ファインマン・カッツの公式 / Entropy Production / NESS / Snlit Proy / BEC / Entanglement / Haag duality / Quantum Spin Chain / 無限自由度 / 量子系 / ボーズ・アインシュタイン凝縮 / 無限次元 / 非可換 / split property / entanglement / 関数解析 / 量子スピン系 / 非平衡定常状態 / 量子スピン糸 / エントロピー生成 / split性 / ハーグ双対性 / 作用素環 / scattering by magnetic fields / spectral theory / point-like magnetic field / Aharonov-Bohm field / Trotter-Kato product formula / zero energy resonance / Feynman-Kac formula / Pauli operators / Dirac operators / 零エネルギーレゾナンス / パウリ作用素 / ディラック作用素 / Multiplicity / Carleman operators / Number operators / Mass renormalization / Spectral scattring theory / Asymptotic fields / Ground states / 赤外・紫外発散 / ハシルトニアン / 重複度 / Carlema作用素 / 個数作用素 / 質量くりこみ / 漸近場 / covers of Riemann surfaces / Grothendieck Conjecture / absolute Galois group / braid group / mapping class group / Teichmueller space / outer Galois representation / anabelian geometry / グロタンデイーク予想 / グロタンディーク予想 / 絶対ガロア群 / 外ガロア表現 / 遠アーベル幾何 / scattering arnplitude / δ-like magnetic field / magnetic Scchrodinger operator / Aharonov-Bohm efrect / magnetic vortex / scattering amplitude / scattreing amplitude / point-like magneticfield / デルタ磁場 / pseudo differential operators / functional derivative / generating function / Schroedinger equation / path integral / 量子観測理論 / 擬微分作用素 / 汎関数微分 / 母関数 / シュレディンガー方程式 / 経路積分 / the cut-off phenomenon / distance-regular graph / spectrum / central limit theorem / quantum probability / random walk / probability model / harmonic analysis / スケーリング極限 / 対称群 / カットオフ現象 / 距離正則グラフ / スペクトル / 量子確率論 / 確率モデル / 調和解析 / point interaction / scattering at low energy / magnetic Schrodinger operator / アハロノフ・ボウム効果 / デルタ型磁場 / レゾルベント収束 / Hamiltonian / Perfect ring / Injective module / Auslander-Gorenstein ring / Morita duality theory / Chain complex / Derived category / 量子 / blow-up / Cohen-Macaulay環 / 双対鎖複体 / Chern character / ハミルトニアン / 完全環 / 入射加群 / Auslander-Gorenstein環 / 森田双対理論 / 鎖複体 / 導来圏 / Navier-Stokes 方程式 / Heisenberg モデル / 臨界点 / 繰りこみ群の流れ / ブロック　スピン　変換 / 協力現象 / 非線形現象 / 疎視化 / スケーリング / スピン模型 / スケーリング則 / ブロックスピン変換 / 無限自由度での積分 / くりこみ群の流れ / 格子ゲージ模型 / ミレニアム問題 / ベルンシュタイン関数 / ファインマン－カッツ公式 / Bernstein関数 / スピン / 場の理論 / レヴィー測度 / シュレディンガ－作用素 / ファインマンカッツ公式 / シュレディンガー半群の基本解 / 指数積公式 / レゾナンス / スペクトル散乱理 / ソレノイド / アハラノフーボーム効果 / クオーク幽閉 / アンダーソン局在 / ベルナール流 / パターシ形成 / リッチフロウ / スピンモデル / リッチ・フロウ / 流体 / 非線形方程式 / 1パラメター半群 / 確率過程 / フランス / Belyi関数 / グロタンディーク・タイヒミュラー群 / エル進反復積分 / 楕円曲線 / 国際研究者交流 / ガロア群 / 高次対数関数 / 関数等式 / 反復積分 / 熱核 / 指数積近似 / 準古典漸近公式 / ソレノイド磁場 / 準古典近似 / 散乱位相 / 散乱全断面積 / アハラノフ・ポーム効果 / ベリー関数 / モジュラー関数 / 定義体 Less

ポストムーア時代を見据えた超伝導コンピューティング技術の創成と展開
- Principal Investigator
  
  井上弘士
- Project Period (FY)
  2022 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Review Section
  
  Medium-sized Section 60:Information science, computer engineering, and related fields
- Research Institution
  Kyushu University
Mathematical Research on Deep-Strong Coupling Regime of Interaction between Artificial Atom and Photon in Circuit QEDPrincipal Investigator
- Principal Investigator
  
  Hirokawa Masao
- Project Period (FY)
  2020 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 13010:Mathematical physics and fundamental theory of condensed matter physics-related
- Research Institution
  Kyushu University
Joint Research into Mathematical Science for Qunatum Information DevicesPrincipal Investigator
- Principal Investigator
  
  Hirokawa Masao
- Project Period (FY)
  2014 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Mathematical Sciences in Search of New Cooperation
- Research Institution
  Hiroshima University
Operator and Spectral Analyses for Differential Operators with Matrix-CoefficientPrincipal Investigator
- Principal Investigator
  
  HIROKAWA Masao
- Project Period (FY)
  2014 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Hiroshima University
Stochastic analysis on infinite dimensional spaces and its related differential operators
- Principal Investigator
  
  KAWABI HIROSHI
- Project Period (FY)
  2014 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Okayama University
Non-perturbative spectral analysis of quantum system by stochastic method
- Principal Investigator
  
  HIROSHIMA Fumio
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Kyushu University
Spectral Analysis on the Schroedinger Operators with Matrix Coefficients and Its ApplicationsPrincipal Investigator
- Principal Investigator
  
  HIROKAWA Masao
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Okayama University
Applications of Renormalization Group Methods in Mathematical Sciences
- Principal Investigator
  
  ITO Keiichi
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Setsunan University
Spectral asymptotic analysis for Schrodinger operators
- Principal Investigator
  
  TAMURA Hideo
- Project Period (FY)
  2009 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Okayama University
Non-perturbative analysis of quantum interaction systems
- Principal Investigator
  
  HIROSHIMA Fumio
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Kyushu University
Operator-Analytical Study of Singularities Appearing in Quantum TheoryPrincipal Investigator
- Principal Investigator
  
  HIROKAWA Masao
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Okayama University
Mathematical Study of Renormalization Groups and applications to Dynamical System
- Principal Investigator
  
  ITO KeiichiR.
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Setsunan University
グロタンディークデッサンと悲合同的タイヒミュラー被覆の数論
- Principal Investigator
  
  中村博昭
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Algebra
- Research Institution
  Okayama University
Asymptotic Analysis in Spectral and Scattering Theory
- Principal Investigator
  
  TAMURA Hideo
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Okayama University
Operator-Theoretical Research of Two-Body System in Non-Relativistic Quantum Field TheoryPrincipal Investigator
- Principal Investigator
  
  HIROKAWA Masao
- Project Period (FY)
  2006 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Okayama University
量子場と結合したシュレディンガー作用素のスペクトルと有効質量の研究
- Principal Investigator
  
  廣島文生
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kyushu University
モジュライ空間の算術幾何に対する種種のグラフ複合体の関与の研究
- Principal Investigator
  
  NAKAMURA Hiroaki
- Project Period (FY)
  2004 – 2005
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Algebra
- Research Institution
  Okayama University
Functional Analysis of Quantum Systems with Infinite Degree ofFir Freedom
- Principal Investigator
  
  MATSUI Taku
- Project Period (FY)
  2004 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Kyushu University
Research on Operator Analysis for Nonrelativistic Quantum Dynamics in High Energy RegionPrincipal Investigator
- Principal Investigator
  
  HIROKAWA Masao
- Project Period (FY)
  2004 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  OKAYAMA UNIVERSITY
Nonperturbative analysis of charged-particle-system interacting with a quantum field
- Principal Investigator
  
  HIROSHIMA Fumio
- Project Period (FY)
  2003 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Setsunan University
Scattering of Dirac particles by mabnetic fields and spectral theory
- Principal Investigator
  
  TAMURA Hideo
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Okayama University
Galois groups and fundamental groups in anabelian geometry
- Principal Investigator
  
  NAKAMURA Hiroaki
- Project Period (FY)
  2002 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  OKAYAMA UNIVERSITY
The application of the theory of the pseudo-diffrential operators to the Feynman path integral
- Principal Investigator
  
  ICHINOSE Wataru
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Shinshu University
Scattering by magnetic fields and Aharonov-Bohm effect
- Principal Investigator
  
  TAMURA Hideo
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  OKAYAMA UNIVERSITY
OPERATOR-ANALYTICAL STUDY OF SINGULARITIES OF HAMILTONIANS IN QUANTUM PHYSICSPrincipal Investigator
- Principal Investigator
  
  HIROKAWA Masao
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  OKAYAMA UNIVERSITY
一般化されたスピン・ボゾン模型の無限次元解析学による研究Principal Investigator
- Principal Investigator
  
  廣川真男
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Global analysis
- Research Institution
  Okayama University
Spectral Theory for Schrodinger Operators with Magnetic Fields and its Application
- Principal Investigator
  
  TAMURA Hideo
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (B).
- Research Field
  
  Global analysis
- Research Institution
  Okayama University
Harmonic analysis on discrete structures and its applications to classical and quantum probability models
- Principal Investigator
  
  HORA Akihito
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Okayama University
量子力学及び場の量子論における数学的諸問題への無限次元解析によるアプローチPrincipal Investigator
- Principal Investigator
  
  廣川真男
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  解析学
- Research Institution
  Okayama University
  Tokyo Gakugei University
Study on Representations of Algebras and Derived Categories
- Principal Investigator
  
  MIYACHI Jun-ichi
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Gakugei University

[Book] 数物系に向けたフーリエ解析とヒルベルト空間論2017
- Author(s)
  廣川真男
- Total Pages
  192
- Publisher
  サイエンス社
- Data Source
  KAKENHI-PROJECT-26310210
[Book] 数物系に向けたフーリエ解析とヒルベルト空間論2017
- Author(s)
  廣川真男
- Total Pages
  192
- Publisher
  サイエンス社
- Data Source
  KAKENHI-PROJECT-26400117
[Journal Article] Schrodinger-cat-like states with dressed photons in renormalized adiabatic approximation for generalized quantum Rabi Hamiltonian with quadratic interaction2020
- Author(s)
  Hirokawa Masao
- Journal Title
  
  Physics Open
  
  Volume: 5 Pages: 100039-100039
- DOI
  10.1016/j.physo.2020.100039
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-20K03768
[Journal Article] Quantum Simulation of Interaction between Atom and Light2018
- Author(s)
  Masao Hirokawa
- Journal Title
  
  京都大学数理解析研究所講究録
  
  Volume: 2089
- Open Access
- Data Source
  KAKENHI-PROJECT-26310210
[Journal Article] A mathematical analysis of dressed photon in ground state of generalized quantum Rabi model using pair theory2017
- Author(s)
  Hirokawa Masao, Moeller Jacob S, Sasaki Itaru
- Journal Title
  
  Journal of Physics A: Mathematical and Theoretical
  
  Volume: 50 Issue: 18 Pages: 184003-184003
- DOI
  10.1088/1751-8121/aa677c
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17612, KAKENHI-PROJECT-26310210, KAKENHI-PROJECT-26400117
[Journal Article] Duality between A Dark State And A Quasi-Dark State2017
- Author(s)
  Masao Hirokawa
- Journal Title
  
  Annals of Physics (N.Y.)
  
  Volume: 377 Pages: 229-242
- DOI
  10.1016/j.aop.2016.12.032
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26310210, KAKENHI-PROJECT-26400117
[Journal Article] A mathematical modeling of electron-phonon interaction for small wave numbers close to zero2017
- Author(s)
  M. Hirokawa
- Journal Title
  
  EMS Series of Congress Reports, Functional Analysis and Operator Theory for Quantum Physics
  
  Volume: The P. Exner Anniversary Vol. Pages: 373-400
- DOI
  10.4171/175-1/18
- ISBN
  9783037191750, 9783037196755
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26310210, KAKENHI-PROJECT-26400117
[Journal Article] The Rabi model gives off a flavor of spontaneous SUSY breaking2015
- Author(s)
  Masao Hirokawa
- Journal Title
  
  Quantum Studies: Mathematics and Foundations
  
  Volume: 2 Issue: 4 Pages: 379-388
- DOI
  10.1007/s40509-015-0041-y
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26400117, KAKENHI-PROJECT-26310210
[Journal Article] A Mathematical Aspect of A Tunnel-Junction for Spintronic Qubit2014
- Author(s)
  M. Hirokawa and T. Kosaka
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume: 417 Issue: 2 Pages: 856-872
- DOI
  10.1016/j.jmaa.2014.03.061
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540204
[Journal Article] Absence of energy level crossing for the ground state energy of the Rabi model2014
- Author(s)
  M. Hirokawa, F. Hiroshima
- Journal Title
  
  Communications on Stochastic Analysis
  
  Volume: 8 Pages: 551-560
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26400117
[Journal Article] Absence of energy level crossing for the ground state energy of the Rabi model2014
- Author(s)
  M. Hirokawa and F. Hiroshima
- Journal Title
  
  Commun. Stochastic Analysis
  
  Volume: (to appear)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340032
[Journal Article] One-Dimensional Tunnel-Junction Formula for Schringer Particle2013
- Author(s)
  M. Hirokawa and T. Kosaka
- Journal Title
  
  SIAM Journal on Applied Mathematics
  
  Volume: 73 Pages: 2247-2261
- DOI
  10.1088/1742-6596/302/1/012044
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540204
[Journal Article] One-Dimensional Tunnel-Junction Formula for the Schrödinger Particle2013
- Author(s)
  M. Hirokawa, T. Kosaka
- Journal Title
  
  SIAM Journal on Applied Mathematics
  
  Volume: Vol.7 73 3, No.6 Issue: 6 Pages: 2247-2261
- DOI
  10.1137/130929072
- Data Source
  KAKENHI-PROJECT-23540204
[Journal Article] Role of Phase Factor in Boundary Condition of One-Dimensional Junction2010
- Author(s)
  Y.Furuhashi, M.Hirokawa, K.Nakahara, Y.Shikano
- Journal Title
  
  Journal of Physics A : Mathematical and Theoretical 43巻
  
  Pages: 354010-354010
- Data Source
  KAKENHI-PROJECT-20540171
[Journal Article] The Dicke-Type Crossings among Eigenvalues of Differential Operators in A Class of Non-Commutative Oscillator2009
- Author(s)
  M.Hirokawa
- Journal Title
  
  Indiana University Mathematics Journal 58
  
  Pages: 1493-1536
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540171
[Journal Article] The Dicke-Type Crossings among Eigenvalues of Differential Operators in A Class of Non-Commutative Oscillator2009
- Author(s)
  M.Hirokawa
- Journal Title
  
  Indiana University Mathematics Journal 58巻
  
  Pages: 1493-1536
- Data Source
  KAKENHI-PROJECT-20540171
[Journal Article] Dicke-Type Energy Level Crossings in Cavity-Induced Atom Cooling : Another Superradiant Cooling2009
- Author(s)
  M.Hirokawa
- Journal Title
  
  Physical Review A 79巻
  
  Pages: 43408-43408
- Data Source
  KAKENHI-PROJECT-20540171
[Journal Article] Dicke-Type Energy Level Crossings in Cavity-Induced Atom Cooling : Another Superradiant Cooling2009
- Author(s)
  M.Hirokawa
- Journal Title
  
  Physical Review A 79
  
  Pages: 43408-43408
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540171
[Journal Article] The Dicke-Type Transition for Non-Commutative Harmonic Oscillators in the Light of Cavity QED2008
- Author(s)
  廣川真男
- Journal Title
  
  京都大学数理解析研究所講究録 1607
  
  Pages: 93-112
- Data Source
  KAKENHI-PROJECT-20540171
[Journal Article] Stability of Formation of Large Bipolaron2007
- Author(s)
  M. Hirokawa
- Journal Title
  
  数理解析研究所講究録 1565
  
  Pages: 86-92
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-18540180
[Journal Article] Regularities of ground states in quantum field models2007
- Author(s)
  A. Arai, M. Hirokawa, and F. Hiroshima
- Journal Title
  
  Kyushu Journal of Mathematics 61
  
  Pages: 321-372
- NAID
  110006377526
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540181
[Journal Article] Regularities of ground states in quantum field models2007
- Author(s)
  Arai, Hirokawa, Hiroshima
- Journal Title
  
  Kyushu Journal of Mathematics (未定)(掲載決定)
- NAID
  110006377526
- Data Source
  KAKENHI-PROJECT-17540181
[Journal Article] Regularities of ground states of quantum field models2007
- Author(s)
  Arai, Asao, Hirokawa, Masao, Hiroshima, Fumio
- Journal Title
  
  J., Kyushu Math 61
  
  Pages: 443-456
- NAID
  110006377526
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16340050
[Journal Article] Regularities of ground states in quantum field models2007
- Author(s)
  A. Arai, M. Hirokawa, F. Hiroshima
- Journal Title
  
  Kyushu Journal of Mathematics 61
  
  Pages: 321-372
- NAID
  110006377526
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540181
[Journal Article] Regularities of ground states of quantum field models2007
- Author(s)
  A. Arai, M. Hirokawa, and F. Hiroshima
- Journal Title
  
  Kyushu Journal of Mathematics 61
  
  Pages: 321-372
- NAID
  110006377526
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540180
[Journal Article] Stability of Formation of Large Bipolaron2007
- Author(s)
  M., Hirokawa
- Journal Title
  
  RIMS Kokyuroku 1565
  
  Pages: 86-92
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540180
[Journal Article] Infrared catastrophe for Nelson's model-non-existence of ground stateand soft boson divergence2006
- Author(s)
  M. Hirokawa
- Journal Title
  
  Publications of Research Institute of Mathematical Science 42
  
  Pages: 897-922
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540181
[Journal Article] Infrared Catastrophe for Nelson's Model --- Non-Existence of Ground State and Soft-Boson Divergence2006
- Author(s)
  M.Hirokawa
- Journal Title
  
  Publ. Res. Inst. Math. Sci. 42
  
  Pages: 897-922
- NAID
  110004830949
- Data Source
  KAKENHI-PROJECT-16340050
[Journal Article] Infrared Catastrophe for Nelson's Model---Non-Existence of Ground State and Soft-Boson Divergence---2006
- Author(s)
  M.Hirokawa
- Journal Title
  
  Publications of The Research Institute for Mathematical Sciences 42・4
- NAID
  110004830949
- Data Source
  KAKENHI-PROJECT-18540180
[Journal Article] Ground State for Point Particles Interacting Through a Massless Scalar Bose Field2005
- Author(s)
  M.Hirokawa
- Journal Title
  
  Adv. Math. 191・2
  
  Pages: 339-392
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540155
[Journal Article] Ground State for Point Particles Interacting Through a Massless Scalar Bose Field2005
- Author(s)
  M.Hirokawa
- Journal Title
  
  Adv.Math. 191・2
  
  Pages: 339-392
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540155
[Journal Article] Ground state for point particle interacting through a massless scalar Boson field2005
- Author(s)
  Hiroshima, Hirokawa, Spohn
- Journal Title
  
  Advances in Mathematics 191
  
  Pages: 339-392
- Data Source
  KAKENHI-PROJECT-17540181
[Journal Article] Ground state for point particles interacting through a massless scalar Bose field2005
- Author(s)
  廣川真男(他2名)
- Journal Title
  
  Adv.Math. 191
  
  Pages: 339-392
- Data Source
  KAKENHI-PROJECT-15540206
[Journal Article] Ground State for Point particles interacting through a massless Bose Field2005
- Author(s)
  M.Hirokawa, F.Hiroshima, H.Spohn
- Journal Title
  
  Advances in Mathematics 191
  
  Pages: 339-392
- Data Source
  KAKENHI-PROJECT-16340050
[Journal Article] Ground state for particle interacting through a massless scalar field2005
- Author(s)
  M.Hirokawa, F.Hiroshima, H.Spohn
- Journal Title
  
  Advances in Mathematics 191
  
  Pages: 339-392
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540191
[Journal Article] Ground State for Point Particles Interacting Through a Massless Scalar Bose Field2005
- Author(s)
  M.Hirokawa
- Journal Title
  
  Advances in Mathematics 191・2
  
  Pages: 339-392
- Data Source
  KAKENHI-PROJECT-16540155
[Journal Article] Ground state for point particles interacting through a massless scalar Bose field2005
- Author(s)
  Masao Hirokawa
- Journal Title
  
  Advances in Mathematics 191
  
  Pages: 339-392
- Data Source
  KAKENHI-PROJECT-16340050
[Journal Article] Ground state for particle interacting through massless scalar field2004
- Author(s)
  Hirokawa, F.Hiroshima, H.Spohn
- Journal Title
  
  Advances in Mathematics 191
  
  Pages: 339-392
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540191
[Journal Article] A model of interband radiative transition2004
- Author(s)
  J.Dittrich, P.Exner, M.Hirokawa
- Journal Title
  
  Journal of Mathematical Soiety of Japan 56
  
  Pages: 753-786
- NAID
  10013358927
- Data Source
  KAKENHI-PROJECT-16340050
[Journal Article] Spin-boson model through a Poisson-driven stochastic process
- Author(s)
  M. Hirokawa, F. Hiroshima and J. Lorinczi
- Journal Title
  
  Math. Z
  
  Volume: (to appear)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340032
[Presentation] SUSY breaking and a radiative mass enhancement in quantum Rabi model with A^2-term2023
- Author(s)
  M. Hirokawa
- Organizer
  マス・フォア・イノベーション卓越大学院プログラムイベント Rabi model and Spin-Boson Model
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03768
[Presentation] 開発の視点から見た量子コンピューティング, センシング, シミュレーション2022
- Author(s)
  廣川真男
- Organizer
  時間・量子測定・準古典近似の理論と実験：古典論と量子論の境界
- Invited
- Data Source
  KAKENHI-PROJECT-20K03768
[Presentation] コンピューティング・システムとしての量子コンピュータへ向けて2022
- Author(s)
  M. Hirokawa
- Organizer
  量子多体計算のフロンティア
- Invited
- Data Source
  KAKENHI-PROJECT-20K03768
[Presentation] Can We Make the Noise Filtering Theory for NISQ Computer?2021
- Author(s)
  M. Hirokawa
- Organizer
  3rd Workshop on Quantum and Classical Cryogenic Devices, Circuits, and Systems
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03768
[Presentation] Topological Superconductors in Ferromagnetic Nanowires with Domain Wall2019
- Author(s)
  Masahiko Ichimura, Masao Hirokawa
- Organizer
  2019 Joint MMM-Intermag Conference
- Data Source
  KAKENHI-PROJECT-26310210
[Presentation] 磁壁を有する強磁性ナノワイヤにおけるトポロジカル超伝導体2018
- Author(s)
  市村雅彦, 廣川真男
- Organizer
  2018年第79回応用物理学会秋季学術講演会
- Data Source
  KAKENHI-PROJECT-26310210
[Presentation] Approximated Eigenstates of Generalized Quantum Rabi Model with A^2-Term in Deep-Strong Coupling Regime2018
- Author(s)
  Masao Hirokawa
- Organizer
  Strongly Coupled Light-Matter Interactions: Models and Applications, Lanzhou University, Lanzhou, China
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26310210
[Presentation] Possibility of Spintronic-Qubit Control Through Tunnel-Junction on Quantum Wire2017
- Author(s)
  M. Hirokawa
- Organizer
  BIT's 7th Annual World Congress of Nano Science & Technology 2017
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26310210
[Presentation] A Quantum Simulation of Cavity Optomechanics2017
- Author(s)
  M. Hirokawa
- Organizer
  Math/Phys Seminar at Aarhus University, Denmark
- Data Source
  KAKENHI-PROJECT-26310210
[Presentation] Possibility of Spintronic-Qubit Control Through Tunnel-Junction on Quantum Wire2017
- Author(s)
  M. Hirokawa
- Organizer
  BIT's 7th Annual World Congress of Nano Science & Technology 2017
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400117
[Presentation] Quantum simulation of the atom-light interaction2017
- Author(s)
  M. Hirokawa
- Organizer
  Quantum Circle at the Doppler Institute, Czech
- Data Source
  KAKENHI-PROJECT-26400117
[Presentation] Quantum simulation of the atom-light interaction2017
- Author(s)
  M. Hirokawa
- Organizer
  Quantum Circle at the Doppler Institute, Czech
- Data Source
  KAKENHI-PROJECT-26310210
[Presentation] Quantum simulation of atom coupled to Bose field(s)2017
- Author(s)
  M. Hirokawa
- Organizer
  現象数理セミナー，九州大学マス・フォア・インダストリ研究所
- Data Source
  KAKENHI-PROJECT-26400117
[Presentation] Virtual and real photons in ground state of generalized quantum Rabi model in ultra-strong coupling regime2017
- Author(s)
  Masao Hirokawa
- Organizer
  Virtual Photons in Ultra-Strongly Coupled Systems
- Place of Presentation
  理化学研究所
- Year and Date
  2017-01-26
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26310210
[Presentation] A Quantum Simulation of Cavity Optomechanics2017
- Author(s)
  M. Hirokawa
- Organizer
  Math/Phys Seminar at Aarhus University, Denmark
- Data Source
  KAKENHI-PROJECT-26400117
[Presentation] How is the ground state of the quantum Rabi model dressed with a real photon?2016
- Author(s)
  Masao Hirokawa
- Organizer
  Mathematical quantum field theory and related topics
- Place of Presentation
  九州大学マス・フォア・インダストリ研究所
- Year and Date
  2016-06-08
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400117
[Presentation] A Mathematical Analysis of Photon in Ground State of Generalized Quantum Rabi Model with the A^2-Term2016
- Author(s)
  Masao Hirokawa
- Organizer
  International Workshop on Ultra-Strong Light-Matter Interactions: Theory and Applications to Quantum Information
- Place of Presentation
  Quantum Technologies for Information Science, University of the Basque Country (スペイン)
- Year and Date
  2016-09-19
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400117
[Presentation] Mathematical Modeling for Quantum Devices2016
- Author(s)
  M. Hirokawa
- Organizer
  Joint Mathematics and Physics Seminar
- Place of Presentation
  Aarhus University (Denmark)
- Year and Date
  2016-03-17
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26310210
[Presentation] Quantum Phase Transition2016
- Author(s)
  Masao Hirokawa
- Organizer
  Joint Mathematics and Physics Seminar
- Place of Presentation
  Aarhus University (Denmark)
- Year and Date
  2016-03-17
- Invited
- Data Source
  KAKENHI-PROJECT-26400117
[Presentation] On the Hepp-Lieb-Preparata quantum phase transition for the quantum Rabi model2016
- Author(s)
  Masao Hirokawa
- Organizer
  Technical Committee on Quantum Information Technology(量子情報技術研究会)
- Place of Presentation
  高知工科大学
- Year and Date
  2016-05-31
- Invited
- Data Source
  KAKENHI-PROJECT-26400117
[Presentation] On the Hepp-Lieb-Preparata quantum phase transition for the quantum Rabi model2016
- Author(s)
  Masao Hirokawa
- Organizer
  Technical Committee on Quantum Information Technology(量子情報技術研究会)
- Place of Presentation
  高知工科大学
- Year and Date
  2016-05-31
- Invited
- Data Source
  KAKENHI-PROJECT-26310210
[Presentation] A Mathematical Analysis of Photon in Ground State of Generalized Quantum Rabi Model with the A^2-Term2016
- Author(s)
  Masao Hirokawa
- Organizer
  International Workshop on Ultra-Strong Light-Matter: Theory and Applications to Quantum Information
- Place of Presentation
  Quantum Technologies for Information Science, University of the Basque Country, Spain
- Year and Date
  2016-09-19
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26310210
[Presentation] A Mathematical Aspect of A Tunnelling Phase for Spintronic Qubit2014
- Author(s)
  M. Hirokawa
- Organizer
  The Asia-Pacific Workshops and Conferences on Quantum Information Science 2014
- Place of Presentation
  Conference Center, National Cheng Kung Kung University, 台南，台湾
- Year and Date
  2014-12-12
- Invited
- Data Source
  KAKENHI-PROJECT-26310210
[Presentation] Two Mathematical Aspects of The Interaction between A Two-Level Atom and A One-Mode Light2014
- Author(s)
  M. Hirokawa
- Organizer
  Mathematics and Physics of Interacting Quantum Systems
- Place of Presentation
  Institute of Mathematics for Industry, Kyushu University, 福岡，日本
- Year and Date
  2014-10-23
- Invited
- Data Source
  KAKENHI-PROJECT-26310210
[Presentation] Tunnel-Junction Formulae with Application to Spintronic Qubit2013
- Author(s)
  M. Hirokawa
- Organizer
  Semiconductor Seminar
- Place of Presentation
  Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany
- Year and Date
  2013-09-02
- Data Source
  KAKENHI-PROJECT-23540204
[Presentation] (人工) 原子と光の相互作用の数理から量子デバイスへ2013
- Author(s)
  廣川真男
- Organizer
  計算材料科学と数学の協働によるスマート材料デザイン手法の探索--階層構造を解析する--
- Place of Presentation
  東北大学WPI-AIMR 本館
- Year and Date
  2013-03-15
- Data Source
  KAKENHI-PROJECT-23540204
[Presentation] On the coupling-strength increase of the Rabi model in the light of SUSYQM---from supersymmetric ground state to spontaneous supersymmetry breaking---2012
- Author(s)
  M. Hirokawa
- Organizer
  Spectral analysis of non-commutative harmonic oscillators and quantum devices
- Place of Presentation
  九州大学大学院数理学研究院・IMI 棟
- Year and Date
  2012-11-27
- Data Source
  KAKENHI-PROJECT-23540204
[Presentation] Transition between the regimes of strong and ultra-strong couplings in circuit QED2012
- Author(s)
  M. Hirokawa
- Organizer
  Workshop on "Avoided ? Crossing of Eigenvalue Curves" ---Non-commutative Harmonic Oscillator, Special Functions and Number Theory---
- Place of Presentation
  九州大学稲盛財団記念館
- Year and Date
  2012-03-07
- Data Source
  KAKENHI-PROJECT-23540204
[Presentation] Another Chirality Quantum Phase Transition in the Atom-Cavity Interaction2011
- Author(s)
  M.Hirokawa
- Organizer
  Centre de Physique Theorique UMR6207
- Place of Presentation
  Marseilles, France
- Year and Date
  2011-03-16
- Data Source
  KAKENHI-PROJECT-20540171
[Presentation] Some mathematical problems on Modeling in circuit quantum electrodynamics2011
- Author(s)
  M. Hirokawa
- Organizer
  Berliner Oberseminar Nichtlineare Partielle Differentialgleichungen
- Place of Presentation
  Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany
- Year and Date
  2011-09-07
- Data Source
  KAKENHI-PROJECT-23540204
[Presentation] Some mathematical problems on modeling in circuit quantum electrodynamics,2011
- Author(s)
  Masao Hirokawa
- Organizer
  Berliner Oberseminar Nichtlineare Partielle Differentialgleichungen(招待講演)
- Place of Presentation
  Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany
- Data Source
  KAKENHI-PROJECT-23540204
[Presentation] Generalized spin-boson model in the light of circuit QED2010
- Author(s)
  M.Hirokawa
- Organizer
  Doppler Institute Seminar
- Place of Presentation
  Doppler Institute, Prague, Czech
- Year and Date
  2010-03-23
- Data Source
  KAKENHI-PROJECT-20540171
[Presentation] A Chirality in the Ground State Energy of the Fully Coupled Model in Circuit QED2010
- Author(s)
  Masao Hirokawa
- Organizer
  Erik Balslev's 75th Birthday Conference (2010年10月1日,2日, Aarhus Univ., Denmark)
- Place of Presentation
  Aarhus Univ.
- Year and Date
  2010-10-01
- Data Source
  KAKENHI-PROJECT-20540171
[Presentation] A Chirality in the Ground State Energy of the Fully Coupled Model in Circuit QED2010
- Author(s)
  M.Hirokawa
- Organizer
  in Erik Balsev's 75^<th> Birthday Conference
- Place of Presentation
  Aarhus University, Aarhus, Denmark
- Year and Date
  2010-10-01
- Data Source
  KAKENHI-PROJECT-20540171
[Presentation] Have fun exploring circuit QED with non-commutative oscillators -From mathematics to experimental physics2009
- Author(s)
  M.Hirokawa
- Organizer
  in数学的場の量子論とくりこみ理論
- Place of Presentation
  九州大学西新プラザ,福岡
- Year and Date
  2009-11-28
- Data Source
  KAKENHI-PROJECT-20540171
[Presentation] Dicke-Type Energy Level Crossing in Cavity-Induced Atom Cooling2008
- Author(s)
  廣川真男
- Organizer
  (東北大学)数理情報談話会
- Place of Presentation
  東北大学情報科学研究科
- Year and Date
  2008-11-19
- Data Source
  KAKENHI-PROJECT-20540171
[Presentation] (人工) 原子と光の相互作用の数理から量子デバイスへ
- Author(s)
  廣川真男
- Organizer
  計算材料科学と数学の協働によるスマート材料デザイン手法の探索---階層構造を解析する---
- Place of Presentation
  東北大学WPI-AIMR
- Invited
- Data Source
  KAKENHI-PROJECT-23540204
[Presentation] Tunnel-Junction Formula with Application to Electron
- Author(s)
  Masao HIROKAWA
- Organizer
  The 5th Math Mate Seminar
- Place of Presentation
  東北大学WPI-AIMR
- Invited
- Data Source
  KAKENHI-PROJECT-23540204
[Presentation] On the coupling-strength increase of the Rabi model in the light of SUSYQM---from supersymmetric ground state to spontaneous supersymmetry breaking---
- Author(s)
  Masao HIROKAWA
- Organizer
  Workshop on "Spectral analysis of non-commutative harmonic oscillators and quantum devices"
- Place of Presentation
  九州大学大学院数理学研究院
- Invited
- Data Source
  KAKENHI-PROJECT-23540204

1. HIROSHIMA Fumio (00330358)

# of Collaborated Projects: 11 results

# of Collaborated Products: 11 results
2. TAMURA Hideo (30022734)

# of Collaborated Projects: 9 results

# of Collaborated Products: 0 results
3. ITOU Keiichi (50268489)

# of Collaborated Projects: 7 results

# of Collaborated Products: 0 results
4. KATSUDA Atsushi (60183779)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
5. IWATSUKA Akira (40184890)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
6. YAMADA Hirofumi (40192794)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
7. ITO Hiroshi,t (90243005)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
8. TERAMOTO Yoshiaki (40237011)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
9. SHIMADA ShinーIchi (40196481)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
10. TANAKA Katsumi (60207082)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
11. MATSUI Taku (50199733)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
12. KAWABI Hiroshi (80432904)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
13. NAKNO Fumihiko (10291246)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
14. NAKAMURA Hiroaki (60217883)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
15. YOSHINO Yuji (00135302)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
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Hirokawa Masao 廣川 真男

HIROKAWA Masao 廣川 真男

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Mathematical Research on Deep-Strong Coupling Regime of Interaction between Artificial Atom and Photon in Circuit QEDPrincipal Investigator

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Joint Research into Mathematical Science for Qunatum Information DevicesPrincipal Investigator

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Operator and Spectral Analyses for Differential Operators with Matrix-CoefficientPrincipal Investigator

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Spectral Analysis on the Schroedinger Operators with Matrix Coefficients and Its ApplicationsPrincipal Investigator

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Operator-Analytical Study of Singularities Appearing in Quantum TheoryPrincipal Investigator

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Hirokawa Masao 廣川真男

HIROKAWA Masao 廣川真男