• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Mathematical Research of Quantum Field Theory.

Research Project

Project/Area Number 10640210
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Global analysis
Research InstitutionYokohama City University

Principal Investigator

FUJII Kazuyuki  Yokohama City University, Faculty of Science, Professor, 理学部, 教授 (00128084)

Co-Investigator(Kenkyū-buntansha) OAKU Toshinori  Tokyo Women's University, Faculty of Liberal Arts, Professor, 文理学部, 教授 (60152039)
ICHIDA Ryousuke  Yokohama City University, Faculty of Science, Professor, 理学部, 教授 (10094294)
NAKAGAMI Yoshiomi  Yokohama City University, Faculty of Science, Professor, 理学部, 教授 (70091246)
MIYAZAKI Naoya  Yokohama City University, Faculty of Science, Assistant Professor, 理学部, 助手 (50315826)
Project Period (FY) 1998 – 1999
Project Status Completed (Fiscal Year 1999)
Budget Amount *help
¥2,200,000 (Direct Cost: ¥2,200,000)
Fiscal Year 1999: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 1998: ¥1,200,000 (Direct Cost: ¥1,200,000)
KeywordsIntegrabel Model / Renormalization-group Method / Asymptotic Analysis / Coherent State / Quantum Mechanics / Geometric Phase / Berry Connection / Geometric Quantum Computer / 包絡線 / 非線形シグマ模型 / 非線形グラスマン模型 / 運動方程式 / 部分模型 / 保存カレント / 可積分系 / 高階ダランベール作用素
Research Abstract

We mainly studied the following three topics through last two years :
(1) to construct non-linear integrable models in any dimension (joint work with Tatsuo Suzuki and Yasushi Homma at Waseda University)
(2) to apply a renormalization-group method to the field of asymptotic analysis (joint work with Shin-ichirou Ei at Yokohama city University and Teiji Kunihiro at Ryukoku University)
(3) to calculate non-abelian Berry connections or Berry curvatures induced from geometric phase in Quantum Mechanics making use of coherent states
After performing (3) we found that our calculation is deeply related to recent work of Quantum Computer (Geometric Quantum Computer by Zanardi and Rasetti). We are looking forward to a further progress.

Report

(3 results)
  • 1999 Annual Research Report   Final Research Report Summary
  • 1998 Annual Research Report
  • Research Products

    (21 results)

All Other

All Publications (21 results)

  • [Publications] K. Fujii and T. Suzuki: "Nonlinear Sigma Models in (1+2) Dimensions and an Infinite Number of Conserved Currents"Letters in Mathematical Physics. 46. 49-59 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] K. Fujii, Y. Homma and T. Suzuki: "Nonlinear Grassmann Sigma Models in Any Dimension and an Infinite Number of Conserved Currents"Physics Letters B. 438. 290-294 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] K. Fujii: "Extension of the Barut-Girardello Coherent State and the Trace Formula"Preceedings of the 6th International Conference of Path Integrals from pev to Tev (world Science). 205-208 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] K. Fujii, Y. Homma and T. Suzuki: "Sobmodels of Nonlinear Grassmann Sigma Models in Any Dimension and Conserved Currents"Exact Solutions, Modern Physics Letter A. 14. 919-928 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 藤井一幸、舟橋久仁生: "1次元調和振動子のFeynmann核の再考"横浜市立大学論叢. (印刷中). (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] S. Ei, K. Fujii and T. Kunihiro: "Renormalization-group Method for Reduction of Evolution Equations ; invariant manifolds and envelopes"Annals of Physics. (in press). (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] K. Fujii: "Note on Coherent States and Adiabatic Connections"Curvatures, Journal of Mathematical Physics. (in press). (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] K. Fujii and T. Suzuki: "Nonlinear Sigma Models in (1+2) Dimensions and an Infinite Number of Conserved Currents"Letters in Mathematical Physics. 46. 49-59 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] K. Fujii, Y. Homma and T. Suzuki: "Nonlinear Grassmann Sigma Models in Any Dimension and an Infinite Number of Conserved Currents"Physics Letters B. 438. 290-294 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] K. Fujii: "Extension of the Barut-Girardello Coherent State and the Trace Formula"Proceedings of the 6th International Conference on Path Integrals from pev to Tev (World Science). 205-208 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] K. Fujii, Y. Homma and T. Suzuki: "Submodels of Nonlinear Grassmann Sigma Models in Any Dimension and Conserved Currents, Exact Solutions"Modern Physics Letters A. 14. 919-928 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] K. Fujii and K. Funahashi: "Feynman Kernel of One Dimensional Harmonic Oscillator Revisited (in Japanese)"The Bulletin of Yokohama City University. (in press). (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] S. Ei, K. Fujii and T. Kunihiro: "Renormalization - group Method for Reduction of Evolution Equations ; invariant manifolds and envelopes"Annals of Physics. 280. 236-298 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] K. Fujii: "Note on Coherent States and Adiabatic Connections, Curvatures"Journal of Mathematical Physics. (in press). (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] K.Fujii,Y.Homma & T.Suzuki: "Submodels of Nonlinear Grass mann Sigma Models in Any Dimension and Conserved …"Modern Physics Letters A. 14・14. 919-928 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 藤井一幸,舟橋久仁生: "1次元調和振動子のFeynman核の再考"横浜市立大学論叢. (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] S.Ei,K.Fujii & T.Kunihiro: "Renormalization-group Method forReduction …"Annals of Physics. (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] K.Fujii: "Note on Coherent States and Adiabatic …"Journal of Mathematical Physics. (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] K,Fujii&T,Suzuki: "Nonlinear Sigma Moclels in(1+2)Dimensions and an Infinite Number of Conserved Currents" Letters in Mathematical Physics. 46. 49-59 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] K.Fujii,Y.Homma&T.Suzuki: "Nonlinear Grassmann sigma models in any dimension and an infinite number of conserved currents" Physics Letters B. 438. 290-294 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] K.Fujii: "Extension of the Barut-Girardello coherent state and the trace formula" Proceedings of the 6th International Conference on Path,Integrals from PeV to TeV. (to appear). (1999)

    • Related Report
      1998 Annual Research Report

URL: 

Published: 1998-04-01   Modified: 2016-04-21  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi