Breaking of Separability Condition for Dynamical Collective Subspace : Onset of Quantum Chaos in Large-Amplitude Collective Motion : Nuclear Phusics

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概要

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• It is the purpose of the present paper to study "global structure" of the state space of an N-body interacting fermion system, which exhibits regular, transient and stochastic phases depending on strength of the interaction. An optimum representation called a dynamical representation plays an essential role in this investigation. The concept of the dynamical representation has been introduced in the quantum theory of dynamical subspace in our previous paper, in order to determine self-consitently an optimum collective subspace as well as an optimum collective Hamiltonian. In the theory, furthermore, dynamical conditions called separability and stability conditions have been provided in order to identify the optimum collective subspace as an approximate invariant subspace of the Hamiltonian. Physical meaning of these conditions are clarified from a viewpoint to relate breaking of them with bifurcation of the collectivity and an onset of quantum chaos from the regular collective motion, by illustrating the general idea with numerical results obtained for a simple soluble model. It turns out that the onset of the stochastic phase is associated with dissolution of the quantum numbers to specify the collective subspace and this dissolution is induced by the breaking of the separability condition in the dynamical representation.

• 理論物理学刊行会の論文
• 1989-11-25

著者

• Iida S

  Kyoto Univ.

• Iida S

  Institute For Nuclear Study University Of Tokyo

• SAKATA Fumihiko

  Institute for Nuclear Study, University of Tokyo

• YAMAMOTO Yoshifumi

  Institute of Physics, University of Tsukuba

• MARUMORI Toshio

  Institute of Physics, University of Tsukuba

• IIDA Shinji

  Institute for Nuclear Study, University of Tokyo

• TSUKUMA Hidehiko

  Institute for Nuclear Study, University of Tokyo

• Marumori T

  Department Of Physics Science University Of Tokyo

• Marumori Toshio

  Institute For Nuclear Study University Of Tokyo

• Sakata Fumihiko

  Department Of Mathematical Sciences Ibaraki University

• Sakata Fumihiko

  Institute For Nuclear Study The University Of Tokyo

• Sakata F

  Ibaraki Univ. Mito Jpn

• TSUKUMA Hidehiko

  Hiroshima University Hospital

• Tsukuma H

  Hiroshima University Hospital

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