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THE LIOUVILLE THEOREM INVOLVING QUANTUM EFFECT
作者姓名:包科达  刘福绥
作者单位:Department of Physics,Beijing University,Beijing,China,Department of Physics,Beijing University,Beijing,China
摘    要:In this article we have shown, if the wave packets are used to describe the dynamical states of particles in a many-particle system, we can get a set of Langevintype Eq. (4.1) instead of the classical canonical eqs. of Hamilton (1.1). At the same time a diffusion-type Liouville theorem involving quantum effect (4.9) is resulted instead of the classical Liouville Eq. (1.3). it is shown that the diffusion-type Liouville eq. should cause the phase mixing in phase space and the entropy increasing in time for an isolated system.

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