Theory for Macroscopic Processes of Quantum Systems in a Reservoir
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概要
- 論文の詳細を見る
Macroscopic processes of quantum systems in a reservoir are examined, based on a Schrb'dinger-Langevin equation, which is obtained by application of a projection operator technique used to derive the generalized Langevin equation to the Schrodinger equation : at first, the density operator equation with fluctuations and the generalized Langevin equation in an extended form are derived, and then the Liouville equation, the Boltzmann equation in the relaxation time approximation and the Zubarev equation are obtained. Moreover, the resultant equations are applied to the electromagnetic field due to free electrons in matter, to linear response systems to an external field, and to the transition probability of time-dependent quantum systems. The boundary condition of scattering processes is examined in relation to quantum fluctuation which is expected to be caused by the perturbation and, based on this result, the Lippmann-Schwinger equation is derived, utilizing the formal similarity to the Schrodinger-Langevin equation.
- 東海大学の論文
- 2004-03-30
著者
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Watanabe Tsuneo
Department Of Physics School Of Science Tokai University
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Watanabe Tsuneo
Department Of Applied Electronics Faculty Of Industrial Science And Technology Science University Of
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Watanabe Tsuneo
Departmen of Electrical Engineering, Tokyo Metropolitan University
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