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Watanabe Shuji  渡辺 秀司

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渡辺 秀司  ワタナベ シユウジ

WATANABE Shuji  渡辺 秀司

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Researcher Number 90222405
Other IDs
Affiliation (Current) 2022: 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
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 / 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 / 超伝導 / 温度 / 量子力学 / Wigner型交換関係 / regularityの定理 / Sobolev空間 / Sobolevの補助定理 / 楕円型作用量 / Sobolev型の補題 / Fourier交換の1つの一般化 / 特異な係数をもつ作用素 / 陰関数定理 / 2次相転移 / 熱力学的ポテンシャル / 熱力学ポテンシャル / Schauderの不動点定理 / 温度依存性 / 非線形積分方程式 / 超伝導のBCSモデル / 解の温度依存性 / リプシッツ連続 / 単調減少 / 連続性 / 特異な変数係数を持つ偏微分方程式 / 逆2乗ポテンシャル / Dirac formalism / 特異な変数係数をもつ偏微分方程式 / S^1上の量子力学 / 特異な係数をもつ偏微分方程式 / 正準交換関係以外の交換関係 / A GENERALIZED FOURIER TRANSFORM / PARTIAL DIFFERENTIAL EQUATIONS WITH SINGULAR COEFFICIENTS / EXPLICIT SOLUTIONS / AN EMBEDDING THEOREM OF SOBOLEV TYPE / INVERSE SQUARE POTENTIAL / SELFADJOINTNESS OF DYNAMICAL VARIABLES / QUANTUM MECHANICS ON MANIFOLDS / DIRAC FORMALISM / エリアシュベルグ方程式 / 強結合超伝導 / 作用素論 … 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
  • Research Projects

    (10 results)
  • Research Products

    (26 results)
  • Co-Researchers

    (2 People)
  •  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

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