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.
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