Integrability Conditions for a Determination of Collective Submanifolds. I-Group Theoretical Aspects- (「時間依存自己無撞着場の方法と量子化」研究会報告)

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概要

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• We study integrability conditions of a time-dependent Hartree-Bogoliubov (TDHM) equation to determine collective submanifolds from the group theoretical viewpoint. The basic idea lies in the introduction of a sort of Lagrange manner familiar to fluid dynamics to describe collective coordinates. This manner enables us to take a one-form Ω which is linearly composed of a TDHB Hamiltonian and infinitesimal generators induced by collective variable differentials of an SO(2N) (Bogoliubov) canonical transformation The integrability conditions of our system read dΩ-ΩΛΩ=0, which is a fundamental equation to determine the collective submanifolds in the TDHB method. This equation may by expected to work well in the large scale beyond an SO(2N) RPA as the small amplitude limit. with an appropriate boundary condition, It is not the purpose of this paper to go into detailed quantitative discussion, but rather to develop the basic idea.

• 素粒子論グループ 素粒子研究編集部の論文
• 1984-03-20

著者

• 西山 精哉

  Coimbra大

• 西山 精哉

  Departamento de Fisica, Universidade de Coimbra

• KOMATSU Takao

  Department of Physics, Kochi University

• Komatsu Takao

  Department Of Physics Kochi University

• Komatsu Takao

  Department of Chemistry, Faculty of Science, Nagoya University

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