WKB Treatment of Boson Hamiltonian of Inter-Nucleus Interaction

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概要

• 論文の詳細を見る

• By treating the inter-nucleus interaction process in the framework of the generator coordinate method, we can obtain the Boson Hamiltonian for the relative motion, where the Boson operators are arranged in normal order. When the WKB approximation is applied to this Boson Hamiltonian by expanding the action S as S=S_0+hS_1+…, we get for S_0 the same equation as that obtained by the method of the moving wave packet. However, the local momentum should not be determined by this equation. This is because S_1 contains the real part and therefore the local momentum should be calculated from S_0+hReS_1. This renormalization from ReS_1 is found to make the results similar to the WKB results obtained by utilizing the Wigner transforms of the non-local interactions of the resonating group method. The appearance of the renormalization by ReS_1 is due to the normal ordering of the Boson operators which makes the Boson Hamiltonian contain the odd power terms of the momentum operator.

• 理論物理学刊行会の論文
• 1983-12-25

著者

• WADA Takahiro

  Department of Pure and Applied Physics, Kansai University

• Wada Takahiro

  Superconductivity Research Laboratory International Superconductivity Technology Center

• 堀内 昶

  Research Center For Nuclear Physics Osaka University:international Institute For Advanced Studies

• AOKI Ken-Ichi

  Research Institute for Fundamental Physics, Kyoto University

• YABANA Kazuhiro

  Department of Physics, Kyoto University

• HORIUCHI Hisashi

  Department of Physics, Kyoto University

• Wada T

  Matsushita Electric Industrial Co. Ltd. Kyoto Jpn

• Wada T

  Department Of Physics Konan University

• Yabana K

  Univ. Tsukuba Tsukuba Jpn

• Yabana Kazuhiro

  Research Institute For Fundamental Physics Kyoto University

• Yabana Kazuhiro

  Department Of Physics Kyoto University

• AOKI Kaoru

  Department of Physics, Kyoto University

• Wada Takahiro

  Department Of Materials Chemistry Ryukoku University

• Wada Takahiro

  Research Institute For Fundamental Physics Kyoto University

• Horiuchi Hisashi

  Department Of Physics Kyoto University

• Aoki Kaoru

  Department Of Physics Kyoto University

• Wada T

  Ehime Univ. Matsuyama Jpn

• Wada Takahiro

  Department Of Intelligent Mechanical Systems Faculty Of Engineering Kagawa University

• Aoki Kaoru

  Department Of Materials Science Yonago College Of Technology

• WADA Takahiro

  Department of Physics, Konan University

• Wada Takahiro

  General Information Processing Center

• Wada Takahiro

  Department of Chemistry, Tokyo Metropolitan University

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