Adiabatic Viewpoint for the WKB Treatment of Coupled Channel System : Appearance of the Berry Phase and Another Extra Phase Accompanying the Adiabatic Motion : Nuclear Physics
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概要
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WKB approximation for the coupled channel equation with non-local interaction, presented previously, is discussed by putting emphasis on the relation to the adiabatic approximation. when the off-diagonal elements of the Hamiltonian is not symmetric, H_<ij>(x,x') ≠H_<ij>(x',x), an additional phase besides the usual phase (i/&plank;)∫p(x) dx appears in the WKB wave function, which is the first order in Planck's constant. For the bound state, this additional phase modifies the Bohr-Sommerfeld quantization condition. Expressing it by adiabatic quantities, it is shown that it includes the so-called Berry phase as a part but is not exhausted by the Berry phase. An analysis of a simple schematic model shows that the inclusion of this additional phase to the quantization condition is important to reproduce the quantum energy spectrum.
- 理論物理学刊行会の論文
- 1986-03-25
著者
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YABANA Kazuhiro
Department of Physics, Kyoto University
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HORIUCHI Hisashi
Department of Physics, Kyoto University
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Yabana K
Univ. Tsukuba Tsukuba Jpn
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Yabana Kazuhiro
Research Institute For Fundamental Physics Kyoto University
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Yabana Kazuhiro
Department Of Physics Kyoto University
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Horiuchi Hisashi
Department Of Physics Kyoto University
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