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From quantum theory to classical dynamics under spontaneous wave-packet reduction

C. F. Huang
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Abstract

A quantum master equation of the Lindblad form is obtained in this paper by considering the spontaneous wave-packet reduction. Different classical equations can be derived after exactly mapping such a quantum master equation to a continuous time random walk (CTRW). Although this CTRW is a quasiclassical walk, the effects due to the quantum interference can still be important in such a walk. Macroscopically, we shall consider the uncertainty of the potential and determine the effective transition probability by a family of Schrödinger equations (or operators).

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C. F. Huang. 2005-05-11. From quantum theory to classical dynamics under spontaneous wave-packet reduction. https://arxiv.org/abs/quant-ph/0305146

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