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ABE Mitsuo  阿部 光雄

ORCIDConnect your ORCID iD *help
Researcher Number 80221729
Other IDs
External Links
Affiliation (based on the past Project Information) *help 1993 – 2004: 京都大学, 数理解析研究所, 助手
Review Section/Research Field
Principal Investigator
General mathematics (including Probability theory/Statistical mathematics)
Except Principal Investigator
解析学
Keywords
Principal Investigator
演算子形式 / 厳密解 / ハイゼンベルグ描像 / 2次元量子重力 / 量子重力 / アノマリー / CAR Algebra / Cuntz Algebra / Anomaly / Exact Solution … More / Operator Formalism / Quantum Field Theory / T^*積 / CAR環 / クンツ環 / 場の量子論 / 無限次元対称性 / 量子アインシュタイン重力 / BRS対称性 / ワイトマン関数 / ゲージ理論 / Embedding / Operator Algebra / KMS状態 / 自己同型 / 自己準同型 / フェルミオン / Noetherの定理 / 場の方程式 / 重力アノマリー / 埋め込み / 作用素環 / Nonlinear Transformation / Bogoliubov Transformation / 経路積分量子化 / 2次元重力 / 弦理論 / 非可換多項式環 / 生成汎関数 / 経路積分 / 非線形変換 / ボゴリューボフ変換 / ゲージ独立性 / ハイゼンベルク描像 / Field-equation anomaly / 共形アノマリー / ユニタリティ / BRS一重項対 / 光錐ゲージ / ティリング模型 / サイン-ゴルドン理論 / 可積分系 / 近似解法 / ダイアグラム的方法 / 共変的演算子形式 / 共変的正準量子論 … More
Except Principal Investigator
BRS対称性 / コーシー問題 / ワイトマン関数 / ハイゼンベルク描像 / オペレーター形式 / 場の量子論 / ゲージ理論 / 量子重力 Less
  • Research Projects

    (8 results)
  • Research Products

    (6 results)
  • Co-Researchers

    (4 People)
  •  Operator Formalism of Quantum Field Theory and Operator AlgebraPrincipal Investigator

    • Principal Investigator
      ABE Mitsuo
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      KYOTO UNIVERSITY
  •  Analysis of Operator Formalism of Quantum Field TheoryPrincipal Investigator

    • Principal Investigator
      ABE Mitsuo
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyoto University
  •  演算子形式による可解な場の量子論の研究とその応用Principal Investigator

    • Principal Investigator
      阿部 光雄
    • 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
      Kyoto University
  •  演算子形式による重力場の量子論の研究Principal Investigator

    • Principal Investigator
      阿部 光雄
    • 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
      Kyoto University
  •  BRS対称性と可積分系Principal Investigator

    • Principal Investigator
      阿部 光雄
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Kyoto University
  •  ゲージ場及び重力場の量子論の共変的演算子形式の研究Principal Investigator

    • Principal Investigator
      阿部 光雄
    • 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
      Kyoto University
  •  ゲージ場及び重力場の共変的正準量子論の数理解析的研究Principal Investigator

    • Principal Investigator
      阿部 光雄
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyoto University
  •  ゲージ場および重力場の量子論の解析学的研究

    • Principal Investigator
      中西 襄
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kyoto University

All 2003 2002

All Journal Article

  • [Journal Article] From Cuntz Algebra to CAR Algebra2003

    • Author(s)
      M.Abe
    • Journal Title

      RIMS Kokyuroku 1333

      Pages: 1-20

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540112
  • [Journal Article] Pseudo-Cuntz Algebra and Recursive Fermion System in String Theory2003

    • Author(s)
      M.Abe
    • Journal Title

      International Journal of Modern Physics A18

      Pages: 607-625

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540112
  • [Journal Article] Pseudo-Cuntz Algebra and Recursive Fermion System in String Theory2003

    • Author(s)
      M.Abe
    • Journal Title

      Int.J.Mod.Phys.A 18

      Pages: 607-625

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540112
  • [Journal Article] Cuntz環からCAR環へ2003

    • Author(s)
      M.Abe
    • Journal Title

      数理解析研究所講究録 1333

      Pages: 1-20

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540112
  • [Journal Article] Nonlinear Transformation Group of CAR Fermion Algebra2002

    • Author(s)
      M.Abe
    • Journal Title

      Lett.Math.Phys. 60

      Pages: 101-107

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540112
  • [Journal Article] Nonlinear Transformation Group of CAR Fermion Algebra2002

    • Author(s)
      M.Abe
    • Journal Title

      Letters in Mathematical Physics 60

      Pages: 101-107

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540112
  • 1.  中西 襄 (30027362)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 2.  荒木 不二洋 (20027361)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 3.  小嶋 泉 (60150322)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 4.  稲見 武夫 (20012487)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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