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

Solving the Schroedinger Equation: Accurate solutions by the integration method and the sampling method.

Research Project

Project/Area Number 16K17864
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Physical chemistry
Research InstitutionQuantum Chemistry Research Institute

Principal Investigator

Kurokawa Yusaku  特定非営利活動法人量子化学研究協会, 研究所, 研究員 (30590731)

Project Period (FY) 2016-04-01 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2017: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2016: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
Keywordsシュレーディンガー方程式 / 自由完員関数法 / サンプリング法 / Harmonium / Free Complement法 / シュレーディンガー解 / 積分法 / 量子化学
Outline of Final Research Achievements

Solving the Schroedinger Equation is one of the main theme in quantum chemistry because chemical phenomena is described by the equation. The Free Complement method has been proposed to solve it exactly. In this study, we developed the FC-variational(integral) method and FC-LSE(sampling) method. By applying the FC-variational(integral) method, we have obtained accurate potential curves of diatomic molecules in the ground and excited states. By using the FC-LSE(sampling) method, we have obtained very accurate solution (to the 5th digit in energy) of the three-electron Harmonium atom.

Report

(3 results)
  • 2017 Annual Research Report   Final Research Report ( PDF )
  • 2016 Research-status Report
  • Research Products

    (13 results)

All 2018 2017 2016 Other

All Journal Article (2 results) (of which Peer Reviewed: 2 results,  Open Access: 2 results,  Acknowledgement Compliant: 1 results) Presentation (9 results) (of which Int'l Joint Research: 3 results,  Invited: 2 results) Remarks (2 results)

  • [Journal Article] 「京」による有機・無機化合物のシュレーディンガー解の計算2017

    • Author(s)
      中辻 博、中嶋 浩之、黒川 悠索、宮原 友夫
    • Journal Title

      HPCI Research Report

      Volume: 2 Pages: 39-45

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Solving the Schroedinger Equation of Harmonium Systems with the Free-Complement Local- Schroedinger-Equation method2016

    • Author(s)
      Yusaku I. Kurokawa and Hiroshi Nakatsuji
    • Journal Title

      Proceedings of the 16th International Conference on Computational and Mathematical Methods in Science and Engineering

      Volume: vol. V Pages: 1427-1432

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Presentation] Solving the Schrodinger Equations: Development of the Free Complement Variational Theory and Applications to Diatomic Molecules2018

    • Author(s)
      Yusaku I. Kurokawa, Hiroyuki Nakashima and Hiroshi Nakatsuji
    • Organizer
      WS on Quantum Chemistry/Quantum Chemical Calculations on Quantum Computers
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] FC-LSE法による原子・分子のシュレーディンガー解の計算 II.2017

    • Author(s)
      黒川 悠索,中嶋 浩之,中辻 博
    • Organizer
      第20回理論化学討論会
    • Related Report
      2017 Annual Research Report
  • [Presentation] FC-LSE 法による原子・分子のシュレーディンガー解の計算 I.2017

    • Author(s)
      中嶋 浩之、黒川 悠索、中辻 博
    • Organizer
      第20回理論化学討論会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 原子・分子のシュレーディンガー解に基づく量子化学の建設:FC 理論とその応用 II2017

    • Author(s)
      黒川 悠索,中嶋 浩之,中辻 博
    • Organizer
      第11回分子科学討論会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 原子・分子のシュレーデインガー解に基づく量子化学の建設:自由完員関数理論とその応用2017

    • Author(s)
      中辻 博,中嶋 浩之,黒川 悠索
    • Organizer
      第11回分子科学討論会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Solving the Schroedinger Equation of Harmonium Atoms with the Free-Complement Local-Schroedinger-Equation method2017

    • Author(s)
      Yusaku I. Kurokawa and Hiroshi Nakatsuji
    • Organizer
      第5回AWEST2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 可積分完員関数によるFC-VB-V 法2016

    • Author(s)
      黒川悠索,中辻博
    • Organizer
      第10回分子科学討論会2016神戸
    • Place of Presentation
      神戸ファッションマート
    • Year and Date
      2016-09-13
    • Related Report
      2016 Research-status Report
  • [Presentation] Solving the Schroedinger Equation of Harmonium Systems with the Free-Complement Local-Schroedinger-Equation method2016

    • Author(s)
      Yusaku I. Kurokawa and Hiroshi Nakatsuji
    • Organizer
      International Conference on Computational and Mathematical Methods in Science and Engineering
    • Place of Presentation
      Costa Ballena, Cadiz, Spain
    • Year and Date
      2016-07-04
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Free Complement 法による多電子Harmonium system の研究2016

    • Author(s)
      黒川 悠索, 中辻 博
    • Organizer
      第19回理論化学討論会
    • Place of Presentation
      早稲田大学
    • Year and Date
      2016-05-23
    • Related Report
      2016 Research-status Report
  • [Remarks] 認定NPO法人 量子化学研究協会

    • URL

      http://www.qcri.or.jp/

    • Related Report
      2017 Annual Research Report
  • [Remarks] 認定NPO法人量子化学研究協会

    • URL

      http://www.qcri.or.jp/

    • Related Report
      2016 Research-status Report

URL: 

Published: 2016-04-21   Modified: 2019-03-29  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi