Watanabe Shuji 渡辺秀司

… Alternative Names

Researcher Number	90222405
Other IDs
Affiliation (Current)	2021: 群馬大学, 大学院理工学府, 教授
Affiliation (based on the past Project Information) *help	2021: 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
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 / 特異性をもつ作用素 / 係数が特異な偏微分方程式 / 多様体上の量子力学 / 自己共役性 / Fourier変換の1つの一般化 / explicitな解 / 力学変数の自己共役性 / 不動点定理 / BCSギャップ方程式 … More Except Principal Investigator 再生核 / 逆問題 / 積分方程式 / チコノフ正則化法 / 離散化 / チホノフ正則化法 / アルゴリズム / 数値解析 / 近似解積分方程式 / 微分方程式 / 行 / 近似解 / 一般化逆 / 有界線形作用素 / 近似法 / 離散微分方程式 / 特異積分方程式 / 境界値問題 / 積分変換 / 数値解法 / 初値問題 / 偏微分方程式 / ゼロ除算 / 離散化法 / 一般化分数 / 固有値関数 / 特異点 / 一般逆 / ムーア・ペンローズ一般逆 / 計算機 / 線形方程式 / 近似解法 Less

強結合超伝導におけるエリアシュベルグ方程式の作用素論的研究Principal Investigator
- Principal Investigator
  
  渡辺秀司
- 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 2014 2013 2012 2011 2009 Other

All Journal Article Presentation

[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 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
- 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 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] 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

渡辺 秀司 ワタナベ シユウジ

WATANABE Shuji 渡辺 秀司

Research Projects

Research Products

Co-Researchers

強結合超伝導におけるエリアシュベルグ方程式の作用素論的研究Principal 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] An operator-theoretical treatment of the Maskawa-Nakajima equation in the massless abelian gluon model2014

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Hardy inequalities for functions vanishing at negligible sets and its applications2014

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Applications of fixed point theorems to the BCS gap equation for superconductivity2014

Author(s)

Journal Title

Data Source

Watanabe Shuji 渡辺秀司

渡辺秀司ワタナベシユウジ

WATANABE Shuji 渡辺秀司