Watanabe Shuji 渡辺秀司

… Alternative Names

WATANABE Shuji 渡辺秀司

渡辺秀司ワタナベシュウジ

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Researcher Number	90222405
Other IDs
Affiliation (Current)	2025: 群馬大学, 大学院理工学府, 教授
Affiliation (based on the past Project Information) *help	2021 – 2023: 群馬大学, 大学院理工学府, 教授 2014: 群馬大学, 大学院理工学府, 教授 2013: 群馬大学, 理工学研究院, 教授 2012: 群馬大学, 工学(系)研究科(研究院), 教授 2009 – 2011: Gunma University, 大学院・工学研究科, 教授 … More 2000 – 2001: 愛知工科大学, 工学部, 助教授 1995 – 1998: 豊田工業高等専門学校, 一般学科, 助教授 1993: 豊田工業高等専門学校, 一般学科・数学教室, 文部教官講師 Less
Review Section/Research Field	Principal Investigator General mathematics (including Probability theory/Statistical mathematics) / General mathematics (including Probability theory/Statistical mathematics) / Basic Section 12040:Applied mathematics and statistics-related Except Principal Investigator General mathematics (including Probability theory/Statistical mathematics)
Keywords	Principal Investigator Sobolev型の埋め込み定理 / 超伝導 / 不動点定理 / 多様体上の量子力学 / 係数が特異な偏微分方程式 / 特異性をもつ作用素 / 非線形積分方程式 / 温度 / BCSギャップ方程式 / 力学変数の自己共役性 … More / explicitな解 / Fourier変換の1つの一般化 / 自己共役性 / 作用素論 / 強結合超伝導 / 解の温度についての性質 / 連立の非線形積分方程式 / 外部磁場 / 解の温度や外部磁場についての性質 / 解の存在と一意性 / エリアシュベルグ方程式 / DIRAC FORMALISM / QUANTUM MECHANICS ON MANIFOLDS / SELFADJOINTNESS OF DYNAMICAL VARIABLES / INVERSE SQUARE POTENTIAL / AN EMBEDDING THEOREM OF SOBOLEV TYPE / EXPLICIT SOLUTIONS / PARTIAL DIFFERENTIAL EQUATIONS WITH SINGULAR COEFFICIENTS / A GENERALIZED FOURIER TRANSFORM / 正準交換関係以外の交換関係 / 特異な係数をもつ偏微分方程式 / S^1上の量子力学 / 特異な変数係数をもつ偏微分方程式 / Dirac formalism / 逆2乗ポテンシャル / 特異な変数係数を持つ偏微分方程式 / 連続性 / 単調減少 / リプシッツ連続 / 解の温度依存性 / 超伝導のBCSモデル / 温度依存性 / Schauderの不動点定理 / 熱力学ポテンシャル / 熱力学的ポテンシャル / 2次相転移 / 陰関数定理 / 特異な係数をもつ作用素 / Fourier交換の1つの一般化 / Sobolev型の補題 / 楕円型作用量 / Sobolevの補助定理 / Sobolev空間 / regularityの定理 / Wigner型交換関係 / 量子力学 … More Except Principal Investigator 離散化 / チコノフ正則化法 / 積分方程式 / 逆問題 / 再生核 / 近似解法 / 線形方程式 / 計算機 / ムーア・ペンローズ一般逆 / 一般逆 / 特異点 / 固有値関数 / 一般化分数 / 離散化法 / ゼロ除算 / 偏微分方程式 / 初値問題 / 数値解法 / 積分変換 / 境界値問題 / 特異積分方程式 / 離散微分方程式 / 近似法 / 有界線形作用素 / 一般化逆 / 近似解 / 行 / 微分方程式 / 近似解積分方程式 / 数値解析 / アルゴリズム / チホノフ正則化法 Less

Operator-theoretical study of the Eliashberg equation in strong-coupling superconductivityPrincipal Investigator
- Principal Investigator
  
  Watanabe Shuji
- Project Period (FY)
  2021 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12040:Applied mathematics and statistics-related
- Research Institution
  Gunma University
Temperature dependence of the solution to the BCS gap equation for superconductivityPrincipal Investigator
- Principal Investigator
  
  WATANABE Shuji
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Gunma University
Applications of reproducing kernels to the Tikhonov regularization
- Principal Investigator
  
  SAITOH Saburou
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Gunma University
Mathematical analysis of the gap function in the BCS model of superconductivity as a function of both the temperature and the wavevectorPrincipal Investigator
- Principal Investigator
  
  WATANABE Shuji
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Gunma University
Applications of the theory of reproducing kernels to the Tikhonov regularization
- Principal Investigator
  
  SAITOH Saburou
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Gunma University
RESEARCH ON FUNCTIONAL ANALYTICAL FOUNDATION OF QUANTUM MECHANICS RELATING TO CANONICAL COMMUTATION RELATIONSPrincipal Investigator
- Principal Investigator
  
  WATANABE Shuji
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Aichi University of Technology
正準交換関係に関連した量子力学の関数解析的構造の解明とその応用Principal Investigator
- Principal Investigator
  
  渡辺秀司
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Toyota National College of Technology
正準交換関係に関連した量子力学の関数解析的構造の解明Principal Investigator
- Principal Investigator
  
  渡辺秀司
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Toyota National College of Technology
正準交換関係をめぐる量子力学の数学的構造の解明Principal Investigator
- Principal Investigator
  
  渡辺秀司
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Toyota National College of Technology
量子力学、場の量子論及び統計力学に於ける作用素の数学的構造の解明Principal Investigator
- Principal Investigator
  
  渡辺秀司
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Toyota National College of Technology

All 2024 2023 2022 2021 2014 2013 2012 2011 2009 Other

All Journal Article Presentation

[Journal Article] Another operator-theoretical proof for the second-order phase transition in the BCS-Bogoliubov model of superconductivity2022
- Author(s)
  Shuji Watanabe
- Journal Title
  
  Scientific Reports
  
  Volume: 12 Issue: 1
- DOI
  10.1038/s41598-022-11652-4
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-21K03346
[Journal Article] An operator-theoretical study on the BCS-Bogoliubov model of superconductivity near absolute zero temperature2021
- Author(s)
  Shuji Watanabe
- Journal Title
  
  Scientific Reports
  
  Volume: 11 Issue: 1 Pages: 15983-15983
- DOI
  10.1038/s41598-021-95322-x
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-21K03346
[Journal Article] An operator-theoretical treatment of the Maskawa-Nakajima equation in the massless abelian gluon model2014
- Author(s)
  Shuji Watanabe
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume: 418 Issue: 2 Pages: 874-883
- DOI
  10.1016/j.jmaa.2014.04.029
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24540112
[Journal Article] Hardy inequalities for functions vanishing at negligible sets and its applications2014
- Author(s)
  Motohiro Sobajima and Shuji Watanabe
- Journal Title
  
  Applicable Analysis
  
  Volume: 印刷中 Issue: 1 Pages: 203-208
- DOI
  10.1080/00036811.2014.1001381
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-24540112
[Journal Article] Applications of fixed point theorems to the BCS gap equation for superconductivity2014
- Author(s)
  S. Watanabe
- Journal Title
  
  Banach and Function Spaces
  
  Volume: IV Pages: 425-433
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540112
[Journal Article] Fixed point theorems and the BCS gap equation for superconductivity2014
- Author(s)
  Shuji Watanabe
- Journal Title
  
  RIMS Kokyuroku
  
  Volume: 1921 Pages: 84-90
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24540112
[Journal Article] Addendum to `The solution to the BCS gap equation and the second-order phase transition in superconductivity'2013
- Author(s)
  S. Watanabe
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume: 405 Issue: 2 Pages: 742-745
- DOI
  10.1016/j.jmaa.2013.03.070
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540112
[Journal Article] The solution to the BCS gap equation for superconductivity and its temperature dependence2013
- Author(s)
  S. Watanabe
- Journal Title
  
  Abstract and Applied Analysis
  
  Volume: 2013 Pages: 1-5
- DOI
  10.1155/2013/932085
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540112
[Journal Article] Temperature dependence of the solution to the BCS gap equation2012
- Author(s)
  Shuji Watanabe
- Journal Title
  
  RIMS Kokyuroku 1805, Applications of the Renormalization Group Methods in Mathematical Sciences
  
  Volume: RIMS Kokyuroku 1805 Pages: 1-9
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540112
[Journal Article] Temperature dependence of the solution to the BCS gap equation2012
- Author(s)
  Shuji Watanabe
- Journal Title
  
  RIMS Kokyuroku
  
  Volume: in press
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540110
[Journal Article] The solution to the BCS gap equation and the second-order phase transition in superconductivity2011
- Author(s)
  Shuji Watanabe
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume: Vol.383 Pages: 353-364
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540110
[Journal Article] A mathematical proof that the phase transition to a superconducting state is a second-order phase transition2009
- Author(s)
  Shuji Watanabe
- Journal Title
  
  Far East Journal of Mathematical Sciences 34
  
  Pages: 37-57
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540110
[Journal Article] Fourier type analysis originating from quantum mechanics2009
- Author(s)
  Yoshio Ohnuki and Shuji Watanabe
- Journal Title
  
  International Journal of Mathematical Sciences
  
  Volume: Vol.8 Pages: 1-30
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540110
[Journal Article] A mathematical proof that the phase transition to a superconducting state is a second-order phase transition2009
- Author(s)
  Shuji Watanabe
- Journal Title
  
  Far East Journal of Mathematical Sciences
  
  Volume: Vol.34 Pages: 37-57
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540110
[Journal Article] Fourier type analysis originating from quantum mechanics2009
- Author(s)
  Yoshio Ohnuki, Shuji Watanabe
- Journal Title
  
  International Journal of Mathematical Sciences 8
  
  Pages: 1-30
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540110
[Presentation] 外部磁場のあるときの超伝導のBCS理論におけるBogoliubov変換とギャップ方程式2024
- Author(s)
  渡辺秀司
- Organizer
  日本数学会　関数解析学分科会
- Data Source
  KAKENHI-PROJECT-21K03346
[Presentation] 超伝導のBCSギャップ方程式の新たな作用素論的扱いと2次相転移への応用2023
- Author(s)
  渡辺秀司
- Organizer
  日本数学会
- Data Source
  KAKENHI-PROJECT-21K03346
[Presentation] 外部磁場付きのBCS理論におけるGap方程式の導出と1次相転移の証明2023
- Author(s)
  渡辺秀司
- Organizer
  大阪公立大学大学院理学研究科　物性理論研究室セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-21K03346
[Presentation] The existence, uniqueness and smoothness of the solution to the BCS-Bogoliubov gap equation in superconductivity2023
- Author(s)
  Shuji Watanabe
- Organizer
  2nd International Meet on Condensed Matter Physics 2023 (CMPMEET2023)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03346
[Presentation] The second-order phase transition in the BCS-Bogoliubov model of superconductivity and its operator-theoretical proof2022
- Author(s)
  Shuji Watanabe
- Organizer
  International Meet on Condensed Matter Physics 2022
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03346
[Presentation] 超伝導のBCS-Bogoliubovモデルにおける絶対零度近傍での臨界磁場の作用素論的研究2021
- Author(s)
  渡辺秀司
- Organizer
  日本数学会
- Data Source
  KAKENHI-PROJECT-21K03346
[Presentation] Temperature dependence of the solution to the BCS gap equation for superconductivity and fixed point theorems2013
- Author(s)
  S. Watanabe
- Organizer
  QMath12 (Mathematical Results in Quantum Mechanics)
- Place of Presentation
  Humboldt University,Berlin, Germany
- Data Source
  KAKENHI-PROJECT-24540112
[Presentation] Fixed point theorems and the BCS gap equation for superconductivity2013
- Author(s)
  S. Watanabe
- Organizer
  RIMS Workshop ``Mathematical Aspects of Quantum Fields and Related Topics''
- Place of Presentation
  Kyoto University, Kyoto, Japan
- Invited
- Data Source
  KAKENHI-PROJECT-24540112
[Presentation] A generalized Fourier transform and the Schroedinger operator with the inverse square potential2013
- Author(s)
  渡辺秀司
- Organizer
  東京理科大学神楽坂解析セミナー
- Place of Presentation
  東京理科大学神楽坂キャンパス
- Invited
- Data Source
  KAKENHI-PROJECT-24540112
[Presentation] Temperature dependence of the solution to the BCS gap equation2011
- Author(s)
  Shuji Watanabe
- Organizer
  International Symposium on Applications of the Renormalization Group Methods in Mathematical Sciences
- Place of Presentation
  Research Institute of Mathematical Sciences, Kyoto University
- Year and Date
  2011-09-12
- Data Source
  KAKENHI-PROJECT-21540110
[Presentation] 超伝導におけるBCSギャップ方程式の解の温度依存性2011
- Author(s)
  渡辺秀司
- Organizer
  数理物理学セミナー
- Place of Presentation
  仏教大学(京都市)
- Data Source
  KAKENHI-PROJECT-21540110
[Presentation] Temperature dependence of the solution to the BCS gap equation2011
- Author(s)
  Shuji Watanabe
- Organizer
  International Symposium on Applications of the Renormalization Group Methods in Mathematical Sciences
- Place of Presentation
  Research Institute of Mathematical Sciences, Kyoto University (Kyoto)
- Year and Date
  2011-09-12
- Data Source
  KAKENHI-PROJECT-21540110
[Presentation] 超伝導のBCSモデルにおける相転移の作用素論的扱い2009
- Author(s)
  渡辺秀司
- Organizer
  日本数学会
- Place of Presentation
  大阪大学
- Year and Date
  2009-09-24
- Data Source
  KAKENHI-PROJECT-21540110
[Presentation] 超伝導におけるBCSモデルの数学的基礎付け2009
- Author(s)
  渡辺秀司
- Organizer
  山口大学工学研究科数学講演会
- Place of Presentation
  山口大学工学研究科
- Data Source
  KAKENHI-PROJECT-21540110
[Presentation] 超伝導のBCSモデルにおける相転移の作用素論的扱い2009
- Author(s)
  渡辺秀司
- Organizer
  日本数学会関数解析学分科会
- Place of Presentation
  大阪大学(大阪市)
- Year and Date
  2009-09-24
- Data Source
  KAKENHI-PROJECT-21540110
[Presentation] 超伝導におけるBCSモデルの数学的基礎付け2009
- Author(s)
  渡辺秀司
- Organizer
  山口大学工学研究科数学講演会
- Place of Presentation
  山口大学工学研究科(山口市)
- Data Source
  KAKENHI-PROJECT-21540110
[Presentation] Temperature dependence of the solution to the BCS gap equation for superconductivity
- Author(s)
  Shuji Watanabe
- Organizer
  XVII th International Congress on Mathematical Physics
- Place of Presentation
  Aalborg, Denmark
- Data Source
  KAKENHI-PROJECT-24540112
[Presentation] Applications of fixed point theorems to the BCS gap equation for superconductivity
- Author(s)
  Shuji Watanabe
- Organizer
  the Fourth International Symposium on Banach and Function Spaces 2012
- Place of Presentation
  Kyushu Institute of Technology, Kitakyushu
- Data Source
  KAKENHI-PROJECT-24540112
[Presentation] カイラル対称性の自発的破れへの不動点定理の応用
- Author(s)
  渡辺秀司
- Organizer
  千葉大学素粒子論研究室コロキウム
- Place of Presentation
  千葉大学, 千葉市
- Invited
- Data Source
  KAKENHI-PROJECT-24540112

1. SAITOH Saburou (10110397)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
2. MATSUURA Tsutomu (80181692)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results

Watanabe Shuji 渡辺 秀司

WATANABE Shuji 渡辺 秀司

渡辺 秀司 ワタナベ シュウジ

Research Projects

Research Products

Co-Researchers

Operator-theoretical study of the Eliashberg equation in strong-coupling superconductivityPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Temperature dependence of the solution to the BCS gap equation for superconductivityPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Applications of reproducing kernels to the Tikhonov regularization

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Mathematical analysis of the gap function in the BCS model of superconductivity as a function of both the temperature and the wavevectorPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Applications of the theory of reproducing kernels to the Tikhonov regularization

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

RESEARCH ON FUNCTIONAL ANALYTICAL FOUNDATION OF QUANTUM MECHANICS RELATING TO CANONICAL COMMUTATION RELATIONSPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

正準交換関係に関連した量子力学の関数解析的構造の解明とその応用Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

正準交換関係に関連した量子力学の関数解析的構造の解明Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

正準交換関係をめぐる量子力学の数学的構造の解明Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

量子力学、場の量子論及び統計力学に於ける作用素の数学的構造の解明Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Another operator-theoretical proof for the second-order phase transition in the BCS-Bogoliubov model of superconductivity2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] An operator-theoretical study on the BCS-Bogoliubov model of superconductivity near absolute zero temperature2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] An operator-theoretical treatment of the Maskawa-Nakajima equation in the massless abelian gluon model2014

Author(s)

Journal Title

DOI

Watanabe Shuji 渡辺秀司

WATANABE Shuji 渡辺秀司

渡辺秀司ワタナベシュウジ