On the Analytic Behaviour of Dyson Transformation Function

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概要

• 論文の詳細を見る

• The detailed properties of the Dyson transformation function, which represents the time development of an initial free state at infinite past due to an interaction, adiabatically switched in and off according to a factor exp(-ε|t|/〓), (ε>0), were examined in special connection with bound states. The tansformation function is unitary and the power expansion in the interaction Hamiltonian is finite and regular in the limit ε→0, except those matrix elements with respect to the lower energy free state of the system in question. An initial free state except the lowest energy one is transformed at a finite time t into the corresponding unbound eigenstate of the total Hamiltonian with the same energy. Transitions to bound states are due to those initial states whose energy falls in the interval of the order ε from that of the lowest energy state.

• 理論物理学刊行会の論文

著者

• Kimura Toshiei

  Institute For Theoretical Physics Hiroshima University

• SUURA Hiroshi

  Department of Physics, Hiroshima University

• MIMURA Yoichi

  Department of Physics, Hiroshima University

• Mimura Yoichi

  Department Of Physics Faculty Of Science Hiroshima University

• Mimura Yoichi

  Department Of Physics Hiroshima University

• Suura Hiroshi

  Department Of Physics Hiroshima University

• Suura Hiroshi

  Department Of Physics : Atomic Energy Research Institute College Of Science And Engineering Nihon Un

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