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

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  • Bondarev, B.V.

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.

Suggested Citation

  • Bondarev, B.V., 1992. "Quantum Markovian master equation theory of particle migration in a stochastic medium," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 183(1), pages 159-174.
    • Handle: RePEc:eee:phsmap:v:183:y:1992:i:1:p:159-174
    DOI: 10.1016/0378-4371(92)90183-Q
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    References listed on IDEAS

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    1. F. Knox, 1974. "Large Firms And Price Control," Annals of Public and Cooperative Economics, Wiley Blackwell, vol. 45(1), pages 59-68, January.
    2. Sudarshan K. Dhall & C. L. Liu, 1978. "On a Real-Time Scheduling Problem," Operations Research, INFORMS, vol. 26(1), pages 127-140, February.
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