Quantum Markovian master equation theory of particle migration in a stochastic medium

B.V. Bondarev

Physica A: Statistical Mechanics and its Applications, 1992, vol. 183, issue 1, 159-174

Abstract: The problem of quasi-particle motion in a stochastic medium is investigated under the supposition that it is a Markovian process. The phenomenological approach to this problem starts from the well-known quantum Markovian master equation. The paper is devoted to the construction of the so-called dissipative terms of the master equation. A special form of dissipative terms is suggested. The quasi-particle performing random walks from site to site in a crystal lattice, and the diffusing particle in a stochastic continuum, are discussed as particular cases of an open quantum system, an evolution of which may be described by means of a Markovian master equation containing the dissipative terms constructed with the help of the suggested method.

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:183:y:1992:i:1:p:159-174

DOI: 10.1016/0378-4371(92)90183-Q

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