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Development of a quantal dynamical theory to take into account particle statistics by time-dependent multi-configuration wave function approach

Research Project

Project/Area Number 24655005
Research Category

Grant-in-Aid for Challenging Exploratory Research

Allocation TypeMulti-year Fund
Research Field Physical chemistry
Research InstitutionThe University of Tokyo

Principal Investigator

KATO Tsuyoshi  東京大学, 理学(系)研究科(研究院), 准教授 (10321986)

Project Period (FY) 2012-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2013: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2012: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Keywordsmulti-configuration / particle statistics / quantal dynamics / 同位体置換 / 時間依存多配置波動関数理論 / MCTDH / 量子動力学 / 粒子統計 / プロトン構造
Outline of Final Research Achievements

A multi-configuration time-dependent wave function (MCTDWF) theory to treat the quantal dynamics of a deuterated hydrocarbon molecule is formulated. Considering the slow convergence of the MCTDWF with respect to the total number of the configuration functions, we tried to construct new quantal theories showing better performance compared with the conventional MCTDWF theory. We have constructed two new theories: one is regarded as a high precision approximation of the MCTDHF theory, and the other can be an exact theory. By performing the numerical calculations in accordance with these theories, we may expect that time-dependent wave functions with higher precision compared with the conventional MCTDWF calculations are efficiently computed. We have not achieved the parts of the initial proposal related to making MCTDHF code for bosonic system and analyzing the numerical results in terms of particle statistics, we now have strong tools to approach to the final goal of the proposal.

Report

(4 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Research-status Report
  • 2012 Research-status Report
  • Research Products

    (11 results)

All 2015 2014 2013 2012

All Journal Article (1 results) (of which Peer Reviewed: 1 results) Presentation (10 results) (of which Invited: 7 results)

  • [Journal Article] Non-Born-Oppenheimer molecular wave functions of H2 by extended multi-configuration time-dependent Hartree-Fock method2014

    • Author(s)
      Y. Ide, T. Kato, K. Yamanouchi
    • Journal Title

      Chemical Physics Letters

      Volume: 595-596C Pages: 180-184

    • DOI

      10.1016/j.cplett.2014.01.055

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Presentation] Description of many-electron dynamics by multi-determinantal wave functions and reduced density matrices2015

    • Author(s)
      T. Kato
    • Organizer
      2015 Pacifichem Conference (#44) Modeling and Analyzing Exciton and Charge Dynamics in Molecules and Clusters symposium
    • Place of Presentation
      Honolulu (USA)
    • Year and Date
      2015-12-15 – 2015-12-20
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] A scheme to describing many-electron dynamics: Fundamental formulations2015

    • Author(s)
      T. Kato
    • Organizer
      CECAM (Centre Europeen de Calcul Atomique et Moleculaire) Workshop: Open Quantum Systems Computational Methods
    • Place of Presentation
      Hong Kong (China)
    • Year and Date
      2015-11-30 – 2015-12-04
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] 拡張されたMCTDHF法における1次元水素分子の実効的断熱ポテンシャル2015

    • Author(s)
      加藤 毅,井手 善広,山内 薫
    • Organizer
      日本化学会 第95春季年会
    • Place of Presentation
      日本大学理工学部 船橋キャンパス
    • Year and Date
      2015-03-25 – 2015-03-29
    • Related Report
      2014 Annual Research Report
  • [Presentation] Molecular wave function and effective adiabatic potentials calculated by extended multi-configuration time-dependent Hartree-Fock method2015

    • Author(s)
      T. Kato, Y. Ide, and K. Yamanouchi
    • Organizer
      The international symposium "Computational Chemistry (CC)" in International Conference of Computational Methods in Sciences and Engineering 2015
    • Place of Presentation
      Athens (Greece)
    • Year and Date
      2015-03-20 – 2015-03-23
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Time-dependent multiconfiguration theory for electron and molecular dynamics in intense laser fields2014

    • Author(s)
      Tsuyoshi Kato
    • Organizer
      International Workshop on Atomically Controlled Fabrication Technology
    • Place of Presentation
      中之島センター(大阪府)
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] ボーズ粒子を含む分子に対する時間依存多配置波動関数理論2013

    • Author(s)
      加藤 毅,山内 薫
    • Organizer
      第7回分子科学討論会
    • Place of Presentation
      京都テルサ(京都府)
    • Related Report
      2013 Research-status Report
  • [Presentation] 時間依存多配置波動関数理論の開発と応用2013

    • Author(s)
      加藤毅
    • Organizer
      HPCI戦略プログラム 分野2×分野5 異分野交流研究会 「量子多体系のダイナミクス計算 -原子核から物質科学まで-」
    • Place of Presentation
      自然科学研究機構分子科学研究所(愛知県)
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Development of time-dependent multiconfiguration theory for electron and molecular dynamics in intense laser fields2013

    • Author(s)
      Tsuyoshi Kato
    • Organizer
      International Workshop on Attosecond Science Challenges for Theoretical Research
    • Place of Presentation
      浦項市(大韓民国)
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Construction of electro-protonic wave functions by multiconfiguration time-dependent Hartree-Fock theory2012

    • Author(s)
      T. Kato, Y. Ide, and K. Yamanouchi
    • Organizer
      The 3rd Shanghai Tokyo Advanced Research Symposium on Ultrafast Intense Laser Science
    • Place of Presentation
      ヒルトン小田原リゾート&スパ(神奈川県)
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] Electro-protonic wave function of CH3OH calculated by time-dependent multi-configuration wave function theory; Toward simulation of ultrafast hydrogen migration in hydrocarbon molecules2012

    • Author(s)
      T. Kato and K. Yamanouchi
    • Organizer
      XVIIIth International Conference on Ultrafast Phenomena (UP2012)
    • Place of Presentation
      ローザンヌ(スイス連邦)
    • Related Report
      2012 Research-status Report

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Published: 2013-05-31   Modified: 2019-07-29  

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