ICHINOSE WATARU 一ノ瀬弥

… Alternative Names

Ichinose Wataru 一ノ瀬弥

ICHINOSE Wataru 一ノ瀬弥

一瀬弥イチセワタル

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Researcher Number	80144690
Other IDs
Affiliation (Current)	2025: 信州大学, 理学部, 特任教授
Affiliation (based on the past Project Information) *help	2019 – 2023: 信州大学, 理学部, 特任教授 2018: 信州大学, 学術研究院理学系, 教授 2014 – 2016: 信州大学, 学術研究院理学系, 教授 2011 – 2013: 信州大学, 理学部, 教授 1998 – 2009: Shinsyu University, Fac.of Sci., Professor, 理学部, 教授 1989 – 1997: 愛媛大学, 工学部, 助教授 1988: 愛媛大学, 工学部, 講師
Review Section/Research Field	Principal Investigator Basic analysis / Basic Section 12020:Mathematical analysis-related / Basic analysis / 解析学 / Mathematical analysis Except Principal Investigator 解析学 / General mathematics (including Probability theory/Statistical mathematics) / Basic analysis
Keywords	Principal Investigator Feynman経路積分 / 量子力学 / 量子電磁気学 / Dirac方程式 / シュレディンガー方程式 / スピンー軌道相互作用 / Aharonov-Bohm効果 / ２重スリット実験 / Feynmanの公理 / Neumannの射影公理 … More / 量子連続測定 / 制限Feynman経路積分 / 位相空間Feynman経路積分 / spin / 量子測定理論 / Pauli方程式 / 量子観測理論 / 母関数 / path integral / 経路積分 / 擬微分作用素 / 場の理論 / Feynman propagator / Feynman 経路積分 / Schroedinger方程式 / Schroedinger 方程式 / Dirac 方程式 / 相関関数 / 汎関数微分 / スピン / 自己共役 / フーリエ積分作用素 / 量子電磁力学 / 時間連続的な量子測定理論 / 時間連続的な量子測定 / 量子情報理論 / Foldy-Wouthuysen変換 / 非相対論的近似 / スピン成分 / Aharonov- Bohm効果 / 2重スリット実験 / 相対論的Feynman経路積分 / creation and annihilation operators / quantum electrodynamics / Pauli equation / path integral of the functional / correlation function / partition function / Feynman path integral / 重み付きFeynman経路積分 / Pauli方程 / 汎函数微分 / 生成・消滅演算子 / 汎関数経路積分 / pseudo differential operators / functional derivative / generating function / Schroedinger equation / Feynman / Schrodinsyr eguotion / fouri intogral oporotoo / pendo-diffenntial / Feynman(ファインマン) / 緩増加超関数空間 / 相対論的な因果律 / 空間方向に多項式オーダーで増大するポテンシャル / 場の量子理論 / Feynmaｎ経路積分 / 場の量子論 / Feyman 経路積分 / クーロンカの発生の数学的証明 / 光子の定常状態表現 / 電子電磁気学 / ローレンツゲージ / 電磁場ポテンシャル / 解の連続性 / Feyman経路積分 / 擬微分作用素理論 / 振動型積分作用素 / 古典極限 / Ehrentestの定理 / 準古典近似 / パウリ方程式 / unitary propagator / 相対論 / 偏微分方程式 … More Except Principal Investigator 代用電荷法 / 数値等角写像 / reduced dimension / 適切性 / 対称系 / 2次元ポテンシャル流 / 発展方程式 / 特性曲面 / マスロフ理論 / シュレーディンガー型方程式 / 特性方程式 / H^∞-適切性 / ホルムグレン型定理 / 特性多様体 / コーシー問題 / well posedness / Cauchy problem / symmetrizability / noncommutative determinant / pseudosymmetric / strong hyperbolicity / hyperbolicity / Newton多角形 / Gevrey class / 一様対角化 / 高階双曲系 / 準対称化 / 対称化可能性 / 初期値問題 / 還元次元 / 対称可能系 / 非可換行列式 / 準対称系 / 強双曲系 / 双曲性 / ratio ergodic theorem / removable singularities / propagation of the singularities / smoothing effect / Hamitonian flow / microlocal analysis / degenerate / wellposedness / ポジティブトレース / シンプレックティック変換 / 正則延長 / 超局所解析 / 漸近解 / 比例エルゴード定理 / 除去可能特異点 / 特異性伝播 / 平滑効果 / ハミルトン流 / 超局所解折 / 退化 / fundamental solutions / appoximation / potential problems / multiply-connected domains / charge simulation method / conformal mappings / numerical analysis / ポテンシャル流 / スリット領域 / 流体力学 / ポテンシャル / 基本解 / 関数近似 / ポテンシャル問題 / 多重連結領域 / 等角写像 / 数値解析 / blow up / a priori estimate / weight function / boundary matrix / symmetric system / ブロウアップ / アプリオリ評価 / 重み関数 / 境界行列 / 放射スリット / 円弧スリット / 平行スリット / 解析接続 / 特異性の伝播 / コ-シ-問題 / 複素領域 / 放射スリット領域 / 円弧スリット領域 / 偏微分方程式 / 積分方程式法 / 基本解の重ね合せ / フ-リエ積分作用素 / シュレディンガ-型方程式 / 特異解 / 特性 / 解析半群 / 解の接続 / 不安定現象 / 分散と散逸 / 最適差分スキ-ム / Riemannian mauifold / Schrodinger type equation / analytic continuation / characteristic Canchy problem / analytic semi-group / evolution equations Less

The mathematical study of the Feynman path integrals and its applications to QED and quantum information theoryPrincipal Investigator
- Principal Investigator
  
  一ノ瀬弥
- Project Period (FY)
  2022 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Shinshu University
Mathematical study of the Feynman path integrals and its application to quantum electro dynamic and quantum information theoryPrincipal Investigator
- Principal Investigator
  
  Ichinose Wataru
- Project Period (FY)
  2018 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Shinshu University
The theory of osicllatory integral operartors and its application to the Feynman path integral of quntum field theoryPrincipal Investigator
- Principal Investigator
  
  ICHINOSE Wataru
- Project Period (FY)
  2014 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Mathematical analysis
- Research Institution
  Shinshu University
On the theory of the oscillatory integral operators and its applications to the Feyman path integral for the field theoryPrincipal Investigator
- Principal Investigator
  
  ICHINOSE Wataru
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Shinshu University
The theory of oscillatory integral operator and its application to the Feynman path integralPrincipal Investigator
- Principal Investigator
  
  ICHINOSE Wataru
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Shinshu University
The theory of the pseudo-differential operators and its applications to the theory of the Feynman path integralPrincipal Investigator
- Principal Investigator
  
  ICHINOSE Wataru
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Shinshu University
The application of the theory of the pseudo-diffrential operators to the Feynman path integralPrincipal Investigator
- 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
Theory of hyperloobic systems
- Principal Investigator
  
  NISHITANI Tatsuo
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Osaka University
Application of the pseudo-differential operotous to the Feynmon pathPrincipal Investigator
- Principal Investigator
  
  ICHINOSE Wataru
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Shinshu University
Study on symmetric positive systems
- Principal Investigator
  
  NISHITANI Tatsuo
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  Osaka University
Numerical Conformal Mapping and Its Application to the Two-Dimensional Potential Flow Analysis
- Principal Investigator
  
  AMANO Kaname
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Ehima University
The well-posedness of the Cauchy problems for degenerate parabolic eqations
- Principal Investigator
  
  SADAMATSU Takashi
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Ehime University
特性コ-シ-問題とその応用
- Principal Investigator
  
  猪狩勝寿
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Ehime University
数値等角写像と流体解析への応用
- Principal Investigator
  
  天野要
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Ehime University
量子力学の方程式への擬微分作用素理論の応用Principal Investigator
- Principal Investigator
  
  一ノ瀬弥
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Ehime University
数値等角写像とその応用
- Principal Investigator
  
  天野要
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Ehime University
量子力学の方程式へのフーリエ積分作用素理論の応用Principal Investigator
- Principal Investigator
  
  一ノ瀬弥
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Ehime University
等角写像と偏微分方程式の数値解析的研究
- Principal Investigator
  
  天野要
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Ehime University
発展方程式に対する初期値問題の適切性
- Principal Investigator
  
  定松隆
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Ehime University
偏微分方程式の数値解析的研究
- Principal Investigator
  
  猪狩勝寿
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Ehime University
発展方程式に対する初期値問題の適切性
- Principal Investigator
  
  SADAMATSU Takashi
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Ehime University
コーシー問題の適切性について
- Principal Investigator
  
  猪狩勝寿
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Ehime University

[Journal Article] From each of Feynman's and von Neumann's postulates to the restricted Feynman path integrals: a mathematical theory of temporally continuous quantum measurements,2024
- Author(s)
  Wataru Ichinose
- Journal Title
  
  Review in Mathematical Physics
  
  Volume: 36 Issue: 08
- DOI
  10.1142/s0129055x2450020x
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22K03384
[Journal Article] On the mathematical formulation of the restricted Feynman path integrals through broken line paths2023
- Author(s)
  Wataru Ichinose
- Journal Title
  
  Osaka Journal of Mathematics
  
  Volume: 60 Pages: 105-132
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22K03384
[Journal Article] On the mathematical formulation of the restricted Feynman path integrals through broken line paths2023
- Author(s)
  Wataru Ichinose
- Journal Title
  
  Osaka Journal of Mathematics
  
  Volume: 60 Pages: 105-132
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03361
[Journal Article] On the mathematical formulation of the restricted Feynman path integrals through broken line paths2022
- Author(s)
  Wataru Ichinose
- Journal Title
  
  Osaka Journal of Mathematics
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03361
[Journal Article] Notes on the Cauchy problem for the self-adjoint and non-self-adjoint Schroedinger equations with polynomially growing potentials2020
- Author(s)
  Wataru Ichinose & Takayoshi Aoki
- Journal Title
  
  J. Pseudo-Differ. Oper. Appl.
  
  Volume: 11 Issue: 2 Pages: 703-731
- DOI
  10.1007/s11868-019-00301-6
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03361
[Journal Article] On the Feynman path integral for the magnetic Schroedinger equation with a polynomially growing electromagnetic potential2020
- Author(s)
  Wataru Ichinose
- Journal Title
  
  Rev. Math. Phys
  
  Volume: 32 Pages: 1-37
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03361
[Journal Article] A mathematical theory of the Feynman path integrals for continuous quantum position measurements2020
- Author(s)
  Wataru Ichinose
- Journal Title
  
  arXiv:2006.02710
  
  Volume: なし Pages: 1-38
- Data Source
  KAKENHI-PROJECT-18K03361
[Journal Article] On the Feynman path integral for the magnetic Schroeinger equation with a polynomially growing electromagnetic potential2020
- Author(s)
  Wataru Ichinose
- Journal Title
  
  Rev. Math. Phys.
  
  Volume: 32 Issue: 01 Pages: 2050003-2050003
- DOI
  10.1142/s0129055x20500038
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03361
[Journal Article] On the Feynman path integral for the Schroedinger equations with polynomially growing potentials in the spatial direction2019
- Author(s)
  Wataru Ichinose
- Journal Title
  
  arXiv:1901.05677
  
  Volume: なし Pages: 1-51
- Data Source
  KAKENHI-PROJECT-18K03361
[Journal Article] Feynman 経路積分の数学的結果2019
- Author(s)
  Wataru Ichinose
- Journal Title
  
  数理科学（特集「経路積分を考える - その変遷と基礎物理の発展」）
  
  Volume: 2 Pages: 60-68
- Data Source
  KAKENHI-PROJECT-18K03361
[Journal Article] Notes on the Cauchy problem for the self-adjoint and non-self-adjoint Schroedinger equations with polynomially growing potentials2019
- Author(s)
  Wataru Ichinose、Takayoshi Aoki
- Journal Title
  
  arXiv:1903.05465
  
  Volume: なし Pages: 1-39
- Data Source
  KAKENHI-PROJECT-18K03361
[Journal Article] On the Feynman path integral for the Schroedinger equations with polynomially growing potentials in the spatial direction2018
- Author(s)
  Wataru Ichinose
- Journal Title
  
  第５７回実函数論・函数解析合同シンポジウム講演集　http://mathsoc.jp/section/fctanalysis/2018.html
  
  Volume: なし Pages: 108-118
- Data Source
  KAKENHI-PROJECT-18K03361
[Journal Article] Notes on the Feynman path integral for the Dirac equation2018
- Author(s)
  Wataru Ichinose
- Journal Title
  
  J. Pseudo-Differ. Oper. Apple.
  
  Volume: 9 Issue: 4 Pages: 789-809
- DOI
  10.1007/s11868-017-0227-7
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03361
[Journal Article] Feynman経路積分による量子連続測定の数学理論 - 位置とスピンの測定2018
- Author(s)
  Wataru Ichinose
- Journal Title
  
  電子情報通信学会・量子技術研究会講演集
  
  Volume: なし Pages: 83-85
- Data Source
  KAKENHI-PROJECT-18K03361
[Journal Article] Notes on the Feynman path integral for the Dirac equation2017
- Author(s)
  W. Ichinose
- Journal Title
  
  arXiv. org
  
  Volume: 1705.04040 Pages: 1-29
- Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26400161
[Journal Article] On the construction of the Feynman path integral for the Dirac equation2016
- Author(s)
  W. Ichinose
- Journal Title
  
  Suuriken Kokyuroku
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26400161
[Journal Article] On the construction of the Feynman path integral for the Dirac equation2015
- Author(s)
  W. Ichinose
- Journal Title
  
  Suuriken Kokyuroku
  
  Volume: 1958 Pages: 63-80
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26400161
[Journal Article] On the Feynman path integral for the Dirac equation in the general dimensional space time2014
- Author(s)
  W. Ichinose
- Journal Title
  
  Communications in Mathematical Physics
  
  Volume: 未定 Issue: 2 Pages: 483-508
- DOI
  10.1007/s00220-014-1997-x
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540195
[Journal Article] On the uniqueness of the polar decomposition of bounded operators in Hilbert spaces2013
- Author(s)
  W.Ichinose and K. Iwashita
- Journal Title
  
  Journal of Operator Theory
  
  Volume: 70:1 Pages: 101-106
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540195
[Journal Article] On the uniqueness of the polar decomposition of bounded operators in Hilbert space2013
- Author(s)
  W. Ichinose, K. Iwashita
- Journal Title
  
  Journal of Operator Theory
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540195
[Journal Article] On the uniqueness of the polar decomposition of bounded operators in Hilbert spaces2013
- Author(s)
  W. Ichinose and K. Iwashita
- Journal Title
  
  Journal of Operator Theory
  
  Volume: 70 Issue: 1 Pages: 101-106
- DOI
  10.7900/jot.2011may16.1911
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540195
[Journal Article] On the uniqueness of the polar decomposition of bounded operatrs in Hilbert spaces2012
- Author(s)
  W. Ichinose, K. Iwashita
- Journal Title
  
  Journal of Operator Theory
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540195
[Journal Article] The continuity and the differentiability of solutions on parameters to the Schroednger equations and the Dirac equations2012
- Author(s)
  W. Ichinose
- Journal Title
  
  Journal of Pseudo-differential Operators and Applications
  
  Volume: 3 Issue: 4 Pages: 399-419
- DOI
  10.1007/s11868-012-0056-7
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540195
[Journal Article] The continuity of solutions with respect to a parameter to symmetric hyperbolic systems2011
- Author(s)
  W. Ichinose
- Journal Title
  
  In : L. Rodino et al., ed. Pseudo-Differential Operators; Analysis and computations = Operator Theory
  
  Volume: 213 Pages: 219-234
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540195
[Journal Article] On the Feynman path integral for nonrelativistic quantum electrodynamics2010
- Author(s)
  一ノ瀬弥
- Journal Title
  
  Rev. Math. Phys. 22,3
  
  Pages: 1-48
- NAID
  120007114197
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540175
[Journal Article] On the Feynman path integral for nonrelativistic quantum electrodynamics2010
- Author(s)
  W.Ichinose
- Journal Title
  
  Review in Mathematical Physics 22(3)
  
  Pages: 1-48
- NAID
  120007114197
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540175
[Journal Article] A mathematical remark on the Feynman path integral forthe quantum electro dynamics2009
- Author(s)
  Wataru Ichinose
- Journal Title
  
  Surikaisekiken kokyuroku (掲載決定済み) (in press)
- Data Source
  KAKENHI-PROJECT-19540175
[Journal Article] L^2 stability and boundedness of the Fourier integral operators applied to the theory of the Feynman path integral2009
- Author(s)
  一ノ瀬弥
- Journal Title
  
  Proceeding of the 5th internatinal ISAAC Congress
  
  Pages: 423-428
- Data Source
  KAKENHI-PROJECT-19540175
[Journal Article] A mathematical note on the Feynman path integral for the quantum electrodynamics2008
- Author(s)
  Wataru Ichinose
- Journal Title
  
  Surikaisekiken Kokyuroku (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540145
[Journal Article] A mathematical remark on the Feynman path integral for the quantum electrodynamics2008
- Author(s)
  Wataru Ichinose
- Journal Title
  
  Surikaisekiken Kokyurokuに発表(掲載決定済み)
- Data Source
  KAKENHI-PROJECT-19540175
[Journal Article] A mathematical note on the Feynman path integral for the quantum electrodynamics2007
- Author(s)
  一ノ瀬弥
- Journal Title
  
  Suurikaisekiken Kokyuuroku 1563
  
  Pages: 52-68
- Data Source
  KAKENHI-PROJECT-19540175
[Journal Article] A mathematical theory of the Feynman path integral for the generalized Pauli equations2007
- Author(s)
  Wataru Ichinose
- Journal Title
  
  J.Math.Soc.Japan 59・2
- NAID
  10019539892
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540145
[Journal Article] A mathematical theory of the Feynman path integral for the generalized Pauli equations2007
- Author(s)
  Wataru Ichinose
- Journal Title
  
  J. Math. Soc. Japan 59・2 (予定掲載確定)
- NAID
  10019539892
- Data Source
  KAKENHI-PROJECT-16540145
[Journal Article] A mathematical theory of the Feynman path integral for the generalized Pauli equations2007
- Author(s)
  一ノ瀬弥
- Journal Title
  
  J. Math. Soc. Japan vol. 59,3
  
  Pages: 649-668
- NAID
  10019539892
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540175
[Journal Article] L^2 stability and boundedness of the Fourier integral operators applied to the theory of the Feynman path integral2007
- Author(s)
  Wataru Ichinose
- Journal Title
  
  Progress in Analysis, the proceeding of the 5^<th> ISSAC Congress, World Scientific Vol.2 (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540145
[Journal Article] A mathematical theory of the Feynman path integral for the generalized Pauli equations2007
- Author(s)
  Wataru Ichinose
- Journal Title
  
  J. Math. Soc. Japan 59
  
  Pages: 649-668
- NAID
  10019539892
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540175
[Journal Article] A mathematical theory of the Feynman path integral for the generalized Pauli equations2007
- Author(s)
  Wataru Ichinose
- Journal Title
  
  J. Math. Soc. Japan 59(2) (to appear)
- NAID
  10019539892
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540145
[Journal Article] L^2 stability and boundedness of the Fourier integral operators applied to the theory of the Feynman path integral2007
- Author(s)
  Wataru Ichinose
- Journal Title
  
  Progress in Analysis, the proceeding of the 5^<th> ISSAC Congress, World Scientific Vol.2
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540145
[Journal Article] On the functional derivatives of the generating functional for correlation functions2006
- Author(s)
  Wataru Ichinose
- Journal Title
  
  Surikaisekiken Kokyuroku 1479
  
  Pages: 130-141
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540145
[Journal Article] A mathematical theory of the phase space Feynman path integral of the functional2006
- Author(s)
  Wataru Ichinose
- Journal Title
  
  Commun. Math. Phys. 265(3)
  
  Pages: 739-779
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540145
[Journal Article] A mathematical theory of the phase space Feynman path integral of the functional2006
- Author(s)
  Wataru Ichinose
- Journal Title
  
  Commun. Math. Phys. 265・3
  
  Pages: 739-779
- Data Source
  KAKENHI-PROJECT-16540145
[Journal Article] A mathematical theory of the phase space Feynman path integral of the functional2006
- Author(s)
  Wataru Ichinose
- Journal Title
  
  Commun.Math.Phys. 265・3
  
  Pages: 739-779
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540145
[Journal Article] Mathematical theory of the phase space Feynman path integral of the functional2006
- Author(s)
  W.Ichinose
- Journal Title
  
  Communication in Mathematical Physics (発表確定)
- Data Source
  KAKENHI-PROJECT-16540145
[Journal Article] L^2 stability and boundedness of the Fourier integral operators applied to the theory the Feynman path integral2006
- Author(s)
  W.Ichinose
- Journal Title
  
  Progress in Analysis Vol.2, the proceedings of the 5th ISSAC Congress, World Scitific (発表確定)
- Data Source
  KAKENHI-PROJECT-16540145
[Journal Article] On the functional derivatives of the generating functional for correlation functions2005
- Author(s)
  W.Ichinose
- Journal Title
  
  数理解析研究所講究録 (発表予定)
- Data Source
  KAKENHI-PROJECT-16540145
[Journal Article] On the Feynman path integral for particles with spin2005
- Author(s)
  Wataru Ichinose
- Journal Title
  
  日本数学会2005年度秋期総合分科会,函数解析分科会特別講演(招待講演)アブストラクト
  
  Pages: 50-55
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540145
[Journal Article] On the Feynman path integral for particles with spin2005
- Author(s)
  Wataru Ichinose
- Journal Title
  
  The abstract of the invited talk in the section of the functional Analysis in the Congress of the Mathematical Society of Japan
  
  Pages: 50-55
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540145
[Journal Article] On the continuity of solutions with respect to electromagnetic potentials to the Schroedinger and the Dirac equations
- Author(s)
  W.Ichinose
- Journal Title
  
  Proceeding of the 7^<th> international ISAAC Congress (掲載確定)
- Data Source
  KAKENHI-PROJECT-19540175
[Journal Article] On the continuity of solutions with respect to the electromagnetic potentials to the Schroedinger equations and the Dirac equations
- Author(s)
  一ノ瀬弥
- Journal Title
  
  Proceeding of the 7th internatinal ISAAC Congress (に掲載決定)
- Data Source
  KAKENHI-PROJECT-19540175
[Journal Article] The continuity of solutions with respect to a parameter to symmetric hyperbolic systems,
- Author(s)
  W.Ichinose
- Journal Title
  
  Pseudo-Differential Operators : Analysis, Applications and Computations (掲載確定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540175
[Journal Article] On the functional derivatives of the generating functional for correlation functions
- Author(s)
  W.Ichinose
- Journal Title
  
  数理解析研究所講究録 (発表確定)
- Data Source
  KAKENHI-PROJECT-16540145
[Journal Article] The continuity of solutions with respect to a parameter to symmetric hyperbolic systems, Pseudo-Differential Operators: Analysis
- Author(s)
  一ノ瀬弥
- Journal Title
  
  Applications and Computation (に掲載決定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540175
[Presentation] A mathematical theory from the projection postulate to the restricted Feynman path integral for a continuous position measurement2021
- Author(s)
  Wataru Ichinose
- Organizer
  夏の作用素論シンポジウム
- Data Source
  KAKENHI-PROJECT-18K03361
[Presentation] On the Feynman path integral with potentials growing polynomially in the spatial direction2018
- Author(s)
  Wataru Ichinose
- Organizer
  実関数論・函数解析合同シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-18K03361
[Presentation] Feynman経路積分による量子連続測定の数学理論ー位置とスピンの測定2018
- Author(s)
  Wataru Ichinose
- Organizer
  電子情報通信学会第38回量子情報技術研究会
- Data Source
  KAKENHI-PROJECT-18K03361
[Presentation] Mathematical theory of the Feynman path integrals for quantum continuous measurement of positions and spin2018
- Author(s)
  Wataru Ichinose
- Organizer
  国際数理物理学会
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03361
[Presentation] The Feynman path integral for the Schroedinger equations with polynomially growing potentials in the spatial direction2016
- Author(s)
  W. Ichinose
- Organizer
  日本数学会
- Place of Presentation
  関西大学理工学部
- Year and Date
  2016-09-29
- Data Source
  KAKENHI-PROJECT-26400161
[Presentation] On the Cauchy problem for the Schroedinger equations with polynomially growing potentials in the spatial direction2016
- Author(s)
  W. Ichinose
- Organizer
  日本数学会
- Place of Presentation
  関西大学理工学部
- Year and Date
  2016-09-29
- Data Source
  KAKENHI-PROJECT-26400161
[Presentation] On the Feynman path integral for the Dirac equations2015
- Author(s)
  W. Ichinose
- Organizer
  愛媛大学解析セミナー
- Place of Presentation
  愛媛大学理学部
- Year and Date
  2015-01-24
- Invited
- Data Source
  KAKENHI-PROJECT-26400161
[Presentation] On the construction of the Feynman path integral for the Dirac equations2015
- Author(s)
  W. Ichinose
- Organizer
  松本偏微分方程式研究集会
- Place of Presentation
  信州大学理学部
- Year and Date
  2015-06-12
- Invited
- Data Source
  KAKENHI-PROJECT-26400161
[Presentation] Schoredinger方程式とDirac方程式の解の、パラメーターに関する連続性と微分可能性,2014
- Author(s)
  一ノ瀬　弥
- Organizer
  日本数学会
- Place of Presentation
  学習院大学
- Data Source
  KAKENHI-PROJECT-23540195
[Presentation] ヒルベルト空間上の有界作用素の極分解の一意性について2014
- Author(s)
  W. Ichinose
- Organizer
  日本数学会関数解析分科会
- Place of Presentation
  学習院大学
- Year and Date
  2014-03-18
- Data Source
  KAKENHI-PROJECT-23540195
[Presentation] Dirac方程式に対するFeyman経路積分の構成について2014
- Author(s)
  一ノ瀬　弥
- Organizer
  日本数学会
- Place of Presentation
  学習院大学
- Data Source
  KAKENHI-PROJECT-23540195
[Presentation] ヒルベルト空間上の有界作用素の極分解の一意性について2014
- Author(s)
  一ノ瀬　弥、岩下　加奈子
- Organizer
  日本数学会
- Place of Presentation
  学習院大学
- Data Source
  KAKENHI-PROJECT-23540195
[Presentation] Dirac 方程式に対するFeyman 経路積分の構成について2014
- Author(s)
  W. Ichinose
- Organizer
  日本数学会関数方程式分科会
- Place of Presentation
  学習院大学
- Year and Date
  2014-03-15
- Data Source
  KAKENHI-PROJECT-23540195
[Presentation] On the Feynman path integral for the Dirac equation in the general dimensional space time2013
- Author(s)
  W. Ichinose
- Organizer
  QMATH12 Mathematical Results in Quantum Mechanics
- Place of Presentation
  Humboldt University of Berlin (Germany)
- Data Source
  KAKENHI-PROJECT-23540195
[Presentation] On the Feynman path integral for nonrelativistic quantum electrodyanmics with spin2013
- Author(s)
  W. Ichinose
- Organizer
  Joint Mathematical Meeting of AMS and MAA
- Place of Presentation
  Sandiego 国際会議場（アメリカ合衆国）
- Invited
- Data Source
  KAKENHI-PROJECT-23540195
[Presentation] On the Feynman path integral for nonrelativistic quantum electrodyanmics with spin2013
- Author(s)
  W. Ichinose
- Organizer
  Joint Mathematical Meeting of AMS and MAA
- Place of Presentation
  San Diego (United States of America)
- Data Source
  KAKENHI-PROJECT-23540195
[Presentation] On the Feynman path integral for the Dirac equation2013
- Author(s)
  W. Ichinose
- Organizer
  作用素論セミナー
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2013-11-28
- Data Source
  KAKENHI-PROJECT-23540195
[Presentation] On the Feynman path integral for nonrelativistic quantum electrodyanmics with spin2012
- Author(s)
  W. Ichinose
- Organizer
  Mathematical Aspects of QFT and QSM
- Place of Presentation
  Hamburg, Germany (poster)
- Data Source
  KAKENHI-PROJECT-23540195
[Presentation] On the Feynman path integral for nonrelativistic quantum electrodyanmics2012
- Author(s)
  W. Ichinose
- Organizer
  Mathematical Aspects of QFT and QSM
- Place of Presentation
  ハンブルグ大学（ドイツ）
- Data Source
  KAKENHI-PROJECT-23540195
[Presentation] On the Feynman path integral for nonrelativistic quantum electrodyanmics with spin2012
- Author(s)
  W. Ichinose
- Organizer
  International Congress of Mathmatical Physics
- Place of Presentation
  Aalborg, Denmark (poster)
- Data Source
  KAKENHI-PROJECT-23540195
[Presentation] On the Feynman path integral for nonrelativistic quantum electrodyanmics2012
- Author(s)
  W. Ichinose
- Organizer
  International Congress of Mathmatical Physics
- Place of Presentation
  アールボー大学（デンマーク）
- Data Source
  KAKENHI-PROJECT-23540195
[Presentation] On the Feynman path integral for the Dirac equation in the general dimensional spacetime2012
- Author(s)
  W. Ichinose
- Organizer
  夏の作用素論セミナー
- Place of Presentation
  新潟大学
- Year and Date
  2012-09-09
- Data Source
  KAKENHI-PROJECT-23540195
[Presentation] 量子電磁気学に関するFeynman 経路積分入門2011
- Author(s)
  W. Ichinose
- Organizer
  信州大学数理物理セミナー
- Place of Presentation
  信州大学学理学部
- Year and Date
  2011-05-30
- Data Source
  KAKENHI-PROJECT-23540195
[Presentation] On the uniqueness of the polar decomposition of bounded operators in Hilbert spaces2011
- Author(s)
  W. Ichinose
- Organizer
  夏の作用素論セミナー
- Place of Presentation
  熊本市国際交流会館
- Year and Date
  2011-09-04
- Data Source
  KAKENHI-PROJECT-23540195
[Presentation] シュレディンガー方程式とディラック方程式の解の, パラメーターに関する連続性と偏微分可能性について2011
- Author(s)
  W. Ichinose
- Organizer
  名古屋大学偏微分方程式セミナー
- Place of Presentation
  名古屋大学理学部
- Year and Date
  2011-04-18
- Data Source
  KAKENHI-PROJECT-23540195
[Presentation] On the continuity of the solutions with respect to coefficients to the Schroedinger equations and symmetric hyperbolic systems2010
- Author(s)
  一ノ瀬弥
- Organizer
  偏微分方程式松山キャンプ
- Place of Presentation
  愛媛大学工学部
- Year and Date
  2010-01-06
- Data Source
  KAKENHI-PROJECT-19540175
[Presentation] On the continuity of the solutions with respect to the electromagnetic potentials to the Schroedinger and the Dirac equations2009
- Author(s)
  一ノ瀬弥
- Organizer
  ISAAC (The International Society Analysis, its Applications and Computation )
- Place of Presentation
  Congress (London University, England)
- Year and Date
  2009-07-14
- Data Source
  KAKENHI-PROJECT-19540175
[Presentation] On the continuity of the solutions with respect to coefficients of the Schroedinger equations and symmetric hyperbolic systems2009
- Author(s)
  一ノ瀬弥
- Organizer
  第7回浜松偏微分方程式研究集会
- Place of Presentation
  静岡大学工学部
- Year and Date
  2009-12-22
- Data Source
  KAKENHI-PROJECT-19540175
[Presentation] On the continuity of the solutions with respect to the electromagnetic potentials to the Schroedinger2009
- Author(s)
  一ノ瀬弥
- Organizer
  the Dirac equations and the symmetric hyperbolic system equations, 作用素論セミナー
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2009-11-16
- Data Source
  KAKENHI-PROJECT-19540175
[Presentation] On the continuity of the solutions with respect to the electromagnetic potentials to the Schroedinger and the Dirac equations2009
- Author(s)
  一ノ瀬弥
- Organizer
  夏の作用素論セミナー
- Place of Presentation
  盛岡
- Year and Date
  2009-09-07
- Data Source
  KAKENHI-PROJECT-19540175
[Presentation] On the continuity of the solutions with respect to the electromagnetic potentials to the Schroedinger and the Dirac equations2009
- Author(s)
  W.Ichinose
- Organizer
  作用素論セミナー
- Place of Presentation
  盛岡市民会館
- Year and Date
  2009-09-07
- Data Source
  KAKENHI-PROJECT-19540175
[Presentation] On the continuity of the soulutions with respect to the electromagnetic potentials to the Schoedinger and the Dirac equations2009
- Author(s)
  W.Ichinose
- Organizer
  International Society Analysis, its Applications and Computation
- Place of Presentation
  London University, England
- Year and Date
  2009-07-14
- Data Source
  KAKENHI-PROJECT-19540175
[Presentation] シュレデインガー方程式の解のポテンシャルに関する連続性2008
- Author(s)
  Wataru Ichinose
- Organizer
  谷口和夫還暦シンポジウム
- Place of Presentation
  京都大学
- Year and Date
  2008-12-19
- Data Source
  KAKENHI-PROJECT-19540175
[Presentation] QEDに関する経路積分の収束について2008
- Author(s)
  一ノ瀬弥
- Organizer
  夏の作用素論セミナー
- Place of Presentation
  佐賀市
- Data Source
  KAKENHI-PROJECT-19540175
[Presentation] The stability of the oscillatory integral operators applied to the Feynman path integral and problems for it2008
- Author(s)
  Wataru Ichinose
- Organizer
  The international conference "Function spaces in the differential equations"
- Place of Presentation
  大阪大学
- Year and Date
  2008-02-19
- Data Source
  KAKENHI-PROJECT-19540175
[Presentation] The stability of the oscillatory integral operators applied to the Feynman path integral and problems for it2008
- Author(s)
  一ノ瀬弥
- Organizer
  The international conference ''Function spaces in the differential equations''
- Place of Presentation
  Osaka University
- Data Source
  KAKENHI-PROJECT-19540175
[Presentation] シュレディンガー方程式の解の電磁場ポテンシャルに関する連続性2008
- Author(s)
  一ノ瀬弥
- Organizer
  谷口和夫教授還暦シンポジウム
- Place of Presentation
  京都大学総合人間科学部
- Year and Date
  2008-12-19
- Data Source
  KAKENHI-PROJECT-19540175
[Presentation] QEDに関する経路積分の収束2008
- Author(s)
  Wataru Ichinose
- Organizer
  夏の作用素論研究会
- Place of Presentation
  佐賀市
- Year and Date
  2008-09-07
- Data Source
  KAKENHI-PROJECT-19540175
[Presentation] 非有界な関数のリーマン和の収束定理2007
- Author(s)
  一ノ瀬弥
- Organizer
  研究集会第14回「超局所解析と古典解析」
- Place of Presentation
  和歌山市
- Data Source
  KAKENHI-PROJECT-19540175
[Presentation] Some mathematical remarks on the Feynman path integral for the nonrelativistic quantum electrodynamics2007
- Author(s)
  一ノ瀬弥
- Organizer
  10th Quantum Mathematics International Conference
- Place of Presentation
  Moeciu, Roomania
- Data Source
  KAKENHI-PROJECT-19540175
[Presentation] 非有界な関数のリーマン和の収束定理2007
- Author(s)
  Wataru Ichinose
- Organizer
  14回「超局所解析と古典解析」
- Place of Presentation
  和歌山市
- Year and Date
  2007-12-22
- Data Source
  KAKENHI-PROJECT-19540175
[Presentation] Dirac方程式に対するFeynman経路積分 (2) ー　因果律の相対論的不変性（有限伝播性）
- Author(s)
  W. Ichinose
- Organizer
  日本数学会関数方程式分科会
- Place of Presentation
  明治大学理工学部
- Year and Date
  2015-03-21 – 2015-03-24
- Data Source
  KAKENHI-PROJECT-26400161
[Presentation] Dirac方程式に対するFeynman経路積分 (1)ー　無限遠方の過去と未来を行き交う電子,
- Author(s)
  W. Ichinose
- Organizer
  日本数学会関数方程式分科会
- Place of Presentation
  明治大学理工学部
- Year and Date
  2015-03-21 – 2015-03-24
- Data Source
  KAKENHI-PROJECT-26400161
[Presentation] On the construction of the Feynman path integral for the Dirac equations
- Author(s)
  W. Ichinose
- Organizer
  RIMS Joint Reserch "Inroductory Workshop on Path Integrals and Pseudo-Differential Operators
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2014-10-08 – 2014-10-10
- Invited
- Data Source
  KAKENHI-PROJECT-26400161
[Presentation] On the construction of the Feynman path integral for the Schroedingier and the Dirac equations in the space of tempered distributions
- Author(s)
  W. Ichinose
- Organizer
  夏の作用素論セミナー
- Place of Presentation
  長浜勤労福祉会館（滋賀県長浜市）
- Year and Date
  2014-09-07 – 2014-09-09
- Invited
- Data Source
  KAKENHI-PROJECT-26400161
[Presentation] On the uniqueness of the polar decomposition of bounded operatrs in Hilbert spaces
- Author(s)
  W. Ichinose
- Organizer
  夏の作用素論セミナー(招待講演)
- Place of Presentation
  熊本市国際交流会館
- Data Source
  KAKENHI-PROJECT-23540195
[Presentation] On the Feynman path integral for the Dirac equation in L^2 space
- Author(s)
  W. Ichinose
- Organizer
  信州大学偏微分方程式研究集会
- Place of Presentation
  信州大学理学部
- Year and Date
  2015-06-12 – 2015-06-13
- Invited
- Data Source
  KAKENHI-PROJECT-26400161

1. IGARI Katsuju (90025487)

# of Collaborated Projects: 12 results

# of Collaborated Products: 0 results
2. SADAMATSU Takashi (10025439)

# of Collaborated Projects: 11 results

# of Collaborated Products: 0 results
3. AMANO Kaname (80113512)

# of Collaborated Projects: 11 results

# of Collaborated Products: 0 results
4. INOUE Tomoki (60253316)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
5. KUMANOGO Naoto (40296778)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
6. 大橋守 (50141924)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
7. TSUDA Koichi (20112253)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
8. HIROSHIMA Fumio (00330358)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
9. SUGIMOTO Mitsuru (60196756)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
10. KAJITANI Kunihiko (00026262)

# of Collaborated Projects: 3 results

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11. SASAKI Itaru (50558161)

# of Collaborated Projects: 2 results

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12. NISHITANI Tatsuo (80127117)

# of Collaborated Projects: 2 results

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13. MATSUMURA Akitaka (60115938)

# of Collaborated Projects: 2 results

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14. TANIUCHI Yasushi (80332675)

# of Collaborated Projects: 2 results

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15. MORIMOTO Yoshinori (30115646)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
16. 村田健史 (20274342)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. MANDAI Takeshi (10181843)

# of Collaborated Projects: 1 results

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18. 松本和一郎 (40093314)

# of Collaborated Projects: 1 results

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19. 満渕俊樹 (80116102)

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20. OGATA Hidenori (50242037)

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21. SUGIHARA Masaaki (80154483)

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22. OKANO Dai (90294785)

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23. KITAGAWA Keiichiro (00025404)

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24. 千原浩之 (70273068)

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25. OKAJI Takashi (20160426)

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26. SHIBATA Yoshihiro (50114088)

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27. HIROKAWA Masao (70282788)

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28. OTOBE Yoshiki (30334882)

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29. 安倍斉 (30036214)

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ICHINOSE WATARU 一ノ瀬 弥

Ichinose Wataru 一ノ瀬 弥

ICHINOSE Wataru 一ノ瀬 弥

一 瀬弥 イチ セワタル

Research Projects

Research Products

Co-Researchers

The mathematical study of the Feynman path integrals and its applications to QED and quantum information theoryPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Mathematical study of the Feynman path integrals and its application to quantum electro dynamic and quantum information theoryPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

The theory of osicllatory integral operartors and its application to the Feynman path integral of quntum field theoryPrincipal Investigator

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On the theory of the oscillatory integral operators and its applications to the Feyman path integral for the field theoryPrincipal Investigator

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The theory of oscillatory integral operator and its application to the Feynman path integralPrincipal Investigator

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The theory of the pseudo-differential operators and its applications to the theory of the Feynman path integralPrincipal Investigator

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The application of the theory of the pseudo-diffrential operators to the Feynman path integralPrincipal Investigator

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Application of the pseudo-differential operotous to the Feynmon pathPrincipal Investigator

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ICHINOSE WATARU 一ノ瀬弥

Ichinose Wataru 一ノ瀬弥

ICHINOSE Wataru 一ノ瀬弥

一瀬弥イチセワタル