Abstract:
Kinetic equations are obtained for the parameters of a quantum dynamical
system interacting with structural groups of a condensed medium, which
acts as a thermal reservoir. The equations are valid for arbitrary strength
of an external (constant and variable) field that acts only on the dynamical
system. Approximate kinetic equations valid in the presence of a highfrequency
external field are obtained for specific dynamical systems – a two-level system and a quantum rotator. For these same dynamical systems and representation of the medium (thermal reservoir) by a set of harmonic oscillators, the relaxation times of the dynamical system are obtained as functions of the amplitude and frequency of the external field, and also the temperature.
Citation:
È. G. Petrov, “Kinetic equations for a dynamical system in a condensed medium and a strong external field”, TMF, 68:1 (1986), 117–127; Theoret. and Math. Phys., 68:1 (1986), 714–721
\Bibitem{Pet86}
\by \`E.~G.~Petrov
\paper Kinetic equations for a~dynamical system in a~condensed medium and a~strong external field
\jour TMF
\yr 1986
\vol 68
\issue 1
\pages 117--127
\mathnet{http://mi.mathnet.ru/tmf5160}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=875185}
\transl
\jour Theoret. and Math. Phys.
\yr 1986
\vol 68
\issue 1
\pages 714--721
\crossref{https://doi.org/10.1007/BF01017801}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1986G092700010}
Linking options:
https://www.mathnet.ru/eng/tmf5160
https://www.mathnet.ru/eng/tmf/v68/i1/p117
This publication is cited in the following 8 articles:
Igor Goychuk, Peter Hänggi, “Quantum dynamics in strong fluctuating fields”, Advances in Physics, 54:6-7 (2005), 525
I. A. Goychuk, E. G. Petrov, V. May, “Combined influence of random and regular external fields on long-range electron transfer”, Phys. Rev. E, 56:2 (1997), 1421
E. G. Petrov, I. A. Goychuk, V. May, “Quantum particle transfer in a system with a discontinuous modulation of the intersite coupling”, Phys. Rev. E, 54:5 (1996), 4726
I.A. Goychuk, E.G. Petrov, V. May, “Control of the dynamics of a dissipative two-level system by a strong periodic field”, Chemical Physics Letters, 253:5-6 (1996), 428
I. A. Goychuk, E. G. Petrov, V. May, “Dynamics of the dissipative two-level system driven by external telegraph noise”, Phys. Rev. E, 52:3 (1995), 2392
E. G. Petrov, V. I. Teslenko, I. A. Goychuk, “Stochastically averaged master equation for a quantum-dynamic system interacting with a thermal bath”, Phys. Rev. E, 49:5 (1994), 3894
I.A. Goychuk, E.G. Petrov, V.I. Teslenko, “Generalized Pauli master equation for a quantum dynamic system in an external field”, Physics Letters A, 185:3 (1994), 343
È. G. Petrov, V. I. Teslenko, “Kinetic equations for a quantum dynamical system interacting with a thermal reservoir and a random field”, Theoret. and Math. Phys., 84:3 (1990), 986–995
Citation in format AMSBIB
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