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Study of the basic aspects of quantum theory

Research Project

Project/Area Number 22540401
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionThe Institute of Physical and Chemical Research (2012)
Nihon University (2010-2011)

Principal Investigator

FUJIKAWA Kazuo  独立行政法人理化学研究所, 橋本数理物理学研究室, 客員研究員 (30013436)

Co-Investigator(Kenkyū-buntansha) DEGUCHI Shinichi  日本大学, 理工学部, 教授 (50207502)
Project Period (FY) 2010 – 2012
Project Status Completed (Fiscal Year 2012)
Budget Amount *help
¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Keywords不確定性関係 / 不偏測定 / エンタングルメント / 量子異常(アノマリー) / 幾何学的位相 / CPT対称性 / 二次発散 / エンタングルド / 隠れた変数 / 場の量子化 / 量子真常 / quantum discord / アノマリー / 因果律 / 量子相関
Research Abstract

The higher-derivative regularization is shown to give the same result as the dimensional regularization for quadratic divergences. The probability interpretation of uncertainty relation is pursued after refining the treatment of periodic boundary conditions. The hidden-variables model of Bell was excluded in analyzing quantum discord. In connection with recent experiment, a universally valid Heisenberg uncertainty relation was proposed. A Lorentz invariant CPT violating model which exhibits the particle-antiparticle mass splitting was proposed.

Report

(4 results)
  • 2012 Annual Research Report   Final Research Report ( PDF )
  • 2011 Annual Research Report
  • 2010 Annual Research Report
  • Research Products

    (30 results)

All 2013 2012 2011 2010 Other

All Journal Article (16 results) (of which Peer Reviewed: 16 results) Presentation (6 results) (of which Invited: 2 results) Book (4 results) Remarks (4 results)

  • [Journal Article] Aspects of universally valid Heisenberg uncertainty relation2013

    • Author(s)
      K. Fujikawa and K. Umetsu
    • Journal Title

      PTEP

      Volume: 2013 Issue: 1

    • DOI

      10.1093/ptep/pts065

    • Related Report
      2012 Annual Research Report 2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Electromagnetic interaction in theory with Lorentz invariant CPT violation2013

    • Author(s)
      M. Chaichian, K. Fujikawa and A. Tureanu
    • Journal Title

      Phys. Lett.

      Volume: B718 Issue: 4-5 Pages: 1500-1504

    • DOI

      10.1016/j.physletb.2012.12.017

    • Related Report
      2012 Annual Research Report 2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] On neutrino masses via CPT violating Higgs interaction in the Standard Model2012

    • Author(s)
      M. Chaichian, K. Fujikawa and A. Tureanu
    • Journal Title

      Phys. Lett.

      Volume: B718 Issue: 1 Pages: 178-180

    • DOI

      10.1016/j.physletb.2012.09.071

    • Related Report
      2012 Annual Research Report 2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Universally valid Heisenberg uncertainty relation2012

    • Author(s)
      K. Fujikawa
    • Journal Title

      Phys. Rev.

      Volume: A 85 Issue: 6 Pages: 62117-62117

    • DOI

      10.1103/physreva.85.062117

    • Related Report
      2012 Annual Research Report 2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Does CHSH inequality test the model of local hidden variables?2012

    • Author(s)
      K. Fujikawa
    • Journal Title

      Prog. Theor. Phys.

      Volume: 127 Pages: 975-987

    • NAID

      110009470510

    • Related Report
      2012 Annual Research Report 2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Conditional measurement in noncontextual hidden-variable models2012

    • Author(s)
      K. Fujikawa
    • Journal Title

      Prog. Theor. Phys.

      Volume: 127 Issue: 6 Pages: 989-996

    • DOI

      10.1143/ptp.127.989

    • NAID

      110009470511

    • Related Report
      2012 Annual Research Report 2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Lorentz invariant CPT violation: Particle and antiparticle mass splitting2012

    • Author(s)
      M. Chaichian, K. Fujikawa and A. Tureanu
    • Journal Title

      Phys. Lett.

      Volume: B712 Issue: 1-2 Pages: 115-118

    • DOI

      10.1016/j.physletb.2012.04.048

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Quantum discord and noncontextual hidden-variable models2012

    • Author(s)
      K. Fujikawa
    • Journal Title

      Phys. Rev.

      Volume: A85 Issue: 1 Pages: 12114-12114

    • DOI

      10.1103/physreva.85.012114

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Quantum discord and noncontextual hidden variables models2012

    • Author(s)
      Kazuo Fujikawa
    • Journal Title

      Physical Review A

      Volume: A85 Pages: 12114-12114

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Remark on the subtractive renormalization of quadratically divergent scalar mass2011

    • Author(s)
      K. Fujikawa
    • Journal Title

      Phys. Rev.

      Volume: D83 Issue: 10 Pages: 105012-105012

    • DOI

      10.1103/physrevd.83.105012

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Uncertainty relation and probability: Numerical illustration2011

    • Author(s)
      K. Fujikawa and K. Umetsu
    • Journal Title

      Prog. of Theor. Phys.

      Volume: 125 Issue: 2 Pages: 205-224

    • DOI

      10.1143/ptp.125.205

    • NAID

      110008460285

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Remark on the subtractive renormalization of quadratically divergent scalar mass2011

    • Author(s)
      Kazuo Fujikawa
    • Journal Title

      Physical Review D

      Volume: D83 Pages: 105012-105012

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Uncertainty relation and probability : Numerical illustration2011

    • Author(s)
      Kazuo Fujikawa, Koichiro Umetsu
    • Journal Title

      Progress of Theoretical Physics

      Volume: 125 Pages: 205-224

    • NAID

      110008460285

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Comment on the uncertainty relation with periodic boundary conditons2010

    • Author(s)
      K. Fujikawa
    • Journal Title

      Prog. of Theor. Phys.

      Volume: 124 Issue: 5 Pages: 747-759

    • DOI

      10.1143/ptp.124.747

    • NAID

      110007988686

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Comment on uncertainty relation with periodic boundary conditions2010

    • Author(s)
      Kazuo Fujikawa
    • Journal Title

      Progress of Theoretical Physics

      Volume: 124 Pages: 747-759

    • NAID

      110007988686

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Lorentz invariant CPT violation

    • Author(s)
      M. Chaichian, K. Fujikawa and A. Tureanu
    • Journal Title

      Eur. Phys. Jour. C.

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Presentation] Quantum Discord, CHSH Inequality and Hidden Variables ---Critical reassessment of hidden-variables models-- arXiv:1302.0916 [quant-ph]2012

    • Author(s)
      K. Fujikawa
    • Organizer
      Asia Pacific Conference and Workshop in Quantum Information Science 2012
    • Place of Presentation
      Pullman Putrajaya Lakeside, Malaysia(Invited talk)
    • Related Report
      2012 Final Research Report
  • [Presentation] Aharonov-Bohm effect and geometric phases ---Exact and approximate topology---, arXiv:1302.0456 [quant-ph]2012

    • Author(s)
      K. Fujikawa
    • Organizer
      FIRST International Symposium on Electron Microscopy and Gauge Fields
    • Place of Presentation
      Tokyo, Japan(Invited talk)
    • Related Report
      2012 Final Research Report
  • [Presentation] Quantum Discord, CHSH Inequality and Hidden Variables --Critical reassessment of hidden-variables models--2012

    • Author(s)
      K. Fujikawa
    • Organizer
      Asia Pacific Conference and Workshop in Quantum Information Science
    • Place of Presentation
      Pullman Putrajaya Lakeside, Malaysia
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Aharonov-Bohm effect and geometric phases --Exact and approximate topology--2012

    • Author(s)
      K. Fujikawa
    • Organizer
      Tonomura FIRST International Symposium on Electron Microscopy and Gauge Fields
    • Place of Presentation
      Tokyo
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Explicit formula of the separability criterion for continuous variables systems2011

    • Author(s)
      藤川和男
    • Organizer
      5th Asia-Pacific Workshop on Quantum Information Science (5th APWQIS)
    • Place of Presentation
      Singapore
    • Year and Date
      2011-05-27
    • Related Report
      2011 Annual Research Report
  • [Presentation] Explicit formula of the separability criterion for continuous variables systems arXiv:1112.2252 [quant-ph]2011

    • Author(s)
      K. Fujikawa
    • Organizer
      5th Asia-Pacific Workshop on Quantum Information Science (5th APWQIS)
    • Place of Presentation
      Singapore(Invited talk)
    • Related Report
      2012 Final Research Report
  • [Book] 量子異常 - ネーターの定理の量子的な破れ"、「数理物理 私の研究」2012

    • Author(s)
      藤川和男
    • Total Pages
      345
    • Publisher
      丸善出版
    • Related Report
      2012 Final Research Report
  • [Book] 面白い発想とすごい発想"、「数理科学」2012

    • Author(s)
      藤川和男
    • Total Pages
      5
    • Publisher
      サイエンス社
    • Related Report
      2012 Final Research Report
  • [Book] 物理学の対称性の様々な側面"、「数理科学」2011

    • Author(s)
      藤川和男
    • Total Pages
      8
    • Publisher
      サイエンス社
    • Related Report
      2012 Final Research Report
  • [Book] 破れた対称性と物理世界"、「数理科学」2010

    • Author(s)
      藤川和男
    • Total Pages
      5
    • Publisher
      サイエンス社
    • Related Report
      2012 Final Research Report
  • [Remarks]

    • URL

      http://aries.phys.cst.nihon-u.ac.jp/~fuji-3/

    • Related Report
      2012 Final Research Report
  • [Remarks] 藤川和男のホームページ

    • URL

      http://aries.phys.cst.nihon-u.ac.jp/~fuji-3/

    • Related Report
      2012 Annual Research Report
  • [Remarks]

    • URL

      http://aries.phys.cst.nihon-u.ac.jp/~fuji-3/

    • Related Report
      2011 Annual Research Report
  • [Remarks]

    • URL

      http://aries.phys.cst.nihon-u.ac.jp/~fuji-3/

    • Related Report
      2010 Annual Research Report

URL: 

Published: 2010-08-23   Modified: 2019-07-29  

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