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Import of Analytical Mechanics to Japan in the Age of the Birth of Quantum Mechanics

Research Project

Project/Area Number 20500876
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Sociology/History of science and technology
Research InstitutionRikkyo University

Principal Investigator

NAKANE Michiyo  立教大学, 理学部, 特任准教授 (30212088)

Co-Investigator(Renkei-kenkyūsha) UEMATSU Eisui  日本大学, 理工学部, 教授 (70184968)
Project Period (FY) 2008 – 2011
Project Status Completed (Fiscal Year 2011)
Budget Amount *help
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2008: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Keywords量子力学 / 解析力学 / 天体力学 / 物理学史 / 作用・角変数 / シュタルク効果 / 杉浦義勝 / Max Born / 正準変換 / ハミルトン光学 / 分光学 / ハミルトン・ヤコビ理論 / Sommerfeld / 作用-角変数 / 量子論 / Schwarzschild / Charlier / ゾンマーフェルト / 東北帝国大学 / ゲッチンゲン大学 / 前期量子論 / 石原純
Research Abstract

This study examines how the Hamilton-Jacobi theory, which is part of analytical mechanics, was imported to Japan. To clarify, this study at first argues how the theory was first developed, and then further developed using quantum physics. It clarifies the various aspects of the Hamilton-Jacobi theory that worked in spectroscopy, which is related to quantum theory. During this process the theory began to evolve into a new idea. This fact exemplifies one aspect of the complexity of quantum theory and the continuity between traditional physics and quantum physics. Japanese spectroscopists, especially Yoshikatsu Sugiura, played an essential role importing the latest Hamilton-Jacobi theory to Japan.

Report

(6 results)
  • 2011 Annual Research Report   Final Research Report ( PDF )
  • 2010 Annual Research Report   Self-evaluation Report ( PDF )
  • 2009 Annual Research Report
  • 2008 Annual Research Report
  • Research Products

    (17 results)

All 2012 2011 2010 2009 2008

All Journal Article (8 results) (of which Peer Reviewed: 2 results) Presentation (9 results)

  • [Journal Article] 作用-角変数の形成におけるC. V. L. Charlierの寄与2012

    • Author(s)
      中根美知代
    • Journal Title

      科学史研究

      Volume: 第51巻(No.261) Pages: 10-17

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] 作用-角変数の形成におけるC.V.L.Charlierの寄与2012

    • Author(s)
      中根美知代
    • Journal Title

      科学史研究

      Volume: 51 Pages: 10-17

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 天体力学から量子論へ:作用-角変数の形成2010

    • Author(s)
      中根美知代
    • Journal Title

      第4回天文学史研究会集録

      Pages: 60-66

    • Related Report
      2011 Final Research Report 2010 Annual Research Report 2010 Self-evaluation Report
  • [Journal Article] C.G.J.Jacobi の "Hamilton-Jacobi 理論";Jacobi は正準変換を知っていたのだろうか2010

    • Author(s)
      中根美知代
    • Journal Title

      第3回天文学史研究会集録

      Pages: 27-35

    • Related Report
      2009 Annual Research Report
  • [Journal Article] C. G. J. Jacobiの"Hamilton-Jacobi理論"; Jacobiは正準変換を知っていたのだろうか2009

    • Author(s)
      中根美知代
    • Journal Title

      第3回天文学史研究会集録

      Pages: 27-35

    • Related Report
      2011 Final Research Report
  • [Journal Article] C.G.J.JacobiのHamilton-Jacobi理論, Jacobi は正準変換を知っていたのだろうか2009

    • Author(s)
      中根美知代
    • Journal Title

      第3回天文学史研究会集録

      Pages: 27-35

    • Related Report
      2010 Self-evaluation Report
  • [Journal Article] ハミルトン・ヤコビ理論の形成と19世紀の天体力学2008

    • Author(s)
      中根美知代
    • Journal Title

      第2回天文学史研究会集録

      Pages: 61-68

    • Related Report
      2011 Final Research Report 2010 Self-evaluation Report
  • [Journal Article] ハミルトン・ヤコビ理論の形成と19世紀の天体力学2008

    • Author(s)
      中根美知代
    • Journal Title

      「第2回天文学史研究会」集録

      Pages: 61-68

    • Related Report
      2008 Annual Research Report
  • [Presentation] 明治初期の教科書における天文学の変遷2012

    • Author(s)
      森田麻美, 雨宮高久, 植松英穂
    • Organizer
      日本物理学会
    • Place of Presentation
      関西学院大学
    • Year and Date
      2012-03-25
    • Related Report
      2011 Final Research Report
  • [Presentation] Did Hamilton and Jacobi construct the Hamilton-Jacobi theory as we know it today?The British Society for History of Mathematics and Canadian Society for History and Philosophy of Mathematics2011

    • Author(s)
      NAKANE, Michiyo
    • Organizer
      5th joint conference
    • Place of Presentation
      Dublin
    • Year and Date
      2011-07-18
    • Related Report
      2011 Final Research Report
  • [Presentation] Did Hamilton and Jacobi construct the Hamilton-Jacobi theory as we know it today?2011

    • Author(s)
      NAKANE, Michiyo
    • Organizer
      The British Society for History of Mathematics and Canadian Society for History and Philosophy of Mathematics, 5th joint conference
    • Place of Presentation
      Trinity College, Dublin, Ireland
    • Year and Date
      2011-07-18
    • Related Report
      2011 Annual Research Report
  • [Presentation] ハミルトン・ヤコビ理論の受容とシュタルク効果2011

    • Author(s)
      中根美知代
    • Organizer
      日本科学史学会
    • Place of Presentation
      東京大学教養部
    • Year and Date
      2011-05-28
    • Related Report
      2011 Final Research Report
  • [Presentation] ハミルトン・ヤコビ理論の受容とシュタルク効果2011

    • Author(s)
      中根美知代
    • Organizer
      日本科学史学会
    • Place of Presentation
      東京大学教養学部
    • Year and Date
      2011-05-28
    • Related Report
      2011 Annual Research Report
  • [Presentation] 作用-角変数の形成過程2011

    • Author(s)
      中根美知代
    • Organizer
      日本数学会
    • Place of Presentation
      早稲田大学理工学術院
    • Year and Date
      2011-03-20
    • Related Report
      2011 Final Research Report 2010 Annual Research Report 2010 Self-evaluation Report
  • [Presentation] 明治・大正・昭和時代の物理学教科書に見る力の単位と計量2011

    • Author(s)
      雨宮高久、田中啓介、植松英穂
    • Organizer
      日本計量史学会
    • Place of Presentation
      ホテルグランドヒル市ヶ谷
    • Year and Date
      2011-02-05
    • Related Report
      2011 Final Research Report 2010 Self-evaluation Report
  • [Presentation] ゾンマーフェルトとハミルトン・ヤコビ理論2010

    • Author(s)
      中根美知代
    • Organizer
      第4回科学史西本大会
    • Place of Presentation
      龍谷大学深草学舎
    • Year and Date
      2010-12-11
    • Related Report
      2011 Final Research Report 2010 Self-evaluation Report
  • [Presentation] ゾンマーフェルトとハミルトン・ヤコビ理論2010

    • Author(s)
      中根美知代
    • Organizer
      科学史西日本大会
    • Place of Presentation
      龍谷大学深草校舎
    • Year and Date
      2010-12-11
    • Related Report
      2010 Annual Research Report

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Published: 2008-04-01   Modified: 2016-04-21  

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