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Theoretical study on the solutions of the Schrodinger equation of atoms and molecules in the coalescence and asymptotic regions.

Research Project

Project/Area Number 26810014
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) 2014-04-01 – 2016-03-31
Project Status Completed (Fiscal Year 2015)
Budget Amount *help
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2015: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2014: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Keywords一般化近接条件 / ポテンシャルカーブ / シュレーディンガー方程式 / カスプ条件 / 水素分子
Outline of Final Research Achievements

In this study, we have derived the General Coalescence Conditions (GCC). The GCC is a condition that must be satisfied by the exact wave function. The GCC is a relation between the first, second, and third etc. derivatives of the wave function. We showed that if a wave function satisfies these relations, it becomes the exact wave function.
We have obtained the very accurate potential energy curves of a hydrogen molecule in the ground and excited states. The obtained curves correctly dissociate to the correct states.

Report

(3 results)
  • 2015 Annual Research Report   Final Research Report ( PDF )
  • 2014 Research-status Report
  • Research Products

    (11 results)

All 2016 2015 2014 Other

All Journal Article (2 results) (of which Peer Reviewed: 2 results,  Acknowledgement Compliant: 1 results) Presentation (7 results) (of which Invited: 3 results) Remarks (2 results)

  • [Journal Article] General coalescence conditions for the exact wave functions: Higher-order relations for Coulombic and non-Coulombic systems2016

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

      Advances in Quantum Chemistry

      Volume: 73 Pages: 59-79

    • DOI

      10.1016/bs.aiq.2015.09.001

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] General coalescence conditions for the exact wave functions. II. Higher-order relations for many-particle systems2014

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

      THE JOURNAL OF CHEMICAL PHYSICS

      Volume: 140 Issue: 21

    • DOI

      10.1063/1.4879266

    • Related Report
      2014 Research-status Report
    • Peer Reviewed
  • [Presentation] Solving the Schroedinger Equation of molecules by the FC-LSE method starting from Hartree-Fock MO’s2015

    • Author(s)
      Yusaku. I. Kurokawa and H. Nakatsuji
    • Organizer
      6th Japan-Czech-Slovakia International Symposium on Theoretical Chemistry
    • Place of Presentation
      Smolenice Castle near Bratislava, Slovakia
    • Year and Date
      2015-10-11
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] 変分法とサンプリング法の結合による自由完員関数法の展開2015

    • Author(s)
      黒川 悠索、中嶋 浩之、中辻 博
    • Organizer
      第9回分子科学討論会
    • Place of Presentation
      東京工業大学
    • Year and Date
      2015-09-16
    • Related Report
      2015 Annual Research Report
  • [Presentation] 有機・無機化合物のシュレーディンガー解の計算:大きな分子の計算に向けて. II2015

    • Author(s)
      黒川 悠索、中嶋 浩之、中辻 博
    • Organizer
      第18回理論化学討論会
    • Place of Presentation
      大阪大学
    • Year and Date
      2015-05-20
    • Related Report
      2015 Annual Research Report
  • [Presentation] General Coalescence Conditions for the Exact Wave Functions:Higher-Order Relations for Many-Particle Systems2014

    • Author(s)
      Y. I. Kurokawa, H. Nakashima, H. Nakatsuji
    • Organizer
      Molecular Electronic Structure Workshop 2014
    • Place of Presentation
      Amasya, Turkey
    • Year and Date
      2014-09-01 – 2014-09-05
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] Potential Energy Curves of Hydrogen Molecule in the Ground and Excited States with the Free Complement Method2014

    • Author(s)
      Yusaku. I. Kurokawa, Hiroshi Nakatsuji
    • Organizer
      Molecular Electronic Structure Workshop 2014
    • Place of Presentation
      Amasya, Turkey
    • Year and Date
      2014-09-01 – 2014-09-05
    • Related Report
      2014 Research-status Report
  • [Presentation] Free Complement法による水素分子の基底・励起状態のポテンシャルカーブの計算2014

    • Author(s)
      黒川 悠索,中辻 博
    • Organizer
      第17回理論化学討論会
    • Place of Presentation
      名古屋大学
    • Year and Date
      2014-05-22 – 2014-05-24
    • Related Report
      2014 Research-status Report
  • [Presentation] 正確な波動関数の満たすべき条件を求めて -2粒子近接における波動関数の振舞い-2014

    • Author(s)
      黒川 悠索
    • Organizer
      第8回 革新的量子化学シンポジウム
    • Place of Presentation
      キャンパスプラザ京都
    • Year and Date
      2014-05-03
    • Related Report
      2014 Research-status Report
    • Invited
  • [Remarks] 量子化学研究協会研究所

    • URL

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

    • Related Report
      2015 Annual Research Report
  • [Remarks] 量子化学研究協会

    • URL

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

    • Related Report
      2014 Research-status Report

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Published: 2014-04-04   Modified: 2017-05-10  

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