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 TMF, 1974, Volume 21, Number 2, Pages 247–257 (Mi tmf3893)

On the theory of quantum kinetic processes in strong alternating fields

R. Kh. Amirov, S. A. Smolyanskii, L. Sh. Shekhter

Abstract: Zubarev's nonequilibrium statistical operator method is used in the approximation of a weak interparticle interaction to obtain a generalized quantum kinetic equation of non-Markov type for an inhomogeneous nonstationary system. A system of charged Fermi particles in an external nonstationary inhomogeneous electric field is considered as an example. The influence of the external field on the collision process of particles is studied. The collision integral can be written down without assuming that the external field is weak. The kinetic equation obtained in the paper is the quantum-mechanical analog of Silin's kinetic equation for rapidly changing processes.

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English version:
Theoretical and Mathematical Physics, 1974, 21:2, 1116–1124

Citation: R. Kh. Amirov, S. A. Smolyanskii, L. Sh. Shekhter, “On the theory of quantum kinetic processes in strong alternating fields”, TMF, 21:2 (1974), 247–257; Theoret. and Math. Phys., 21:2 (1974), 1116–1124

Citation in format AMSBIB
\Bibitem{AmiSmoShe74} \by R.~Kh.~Amirov, S.~A.~Smolyanskii, L.~Sh.~Shekhter \paper On the theory of quantum kinetic processes in strong alternating fields \jour TMF \yr 1974 \vol 21 \issue 2 \pages 247--257 \mathnet{http://mi.mathnet.ru/tmf3893} \transl \jour Theoret. and Math. Phys. \yr 1974 \vol 21 \issue 2 \pages 1116--1124 \crossref{https://doi.org/10.1007/BF01035559} 

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This publication is cited in the following articles:
1. A. V. Prozorkevich, S. A. Smolyanskii, “Derivation of relativistic transport equations of a plasma in a strong electromagnetic field”, Theoret. and Math. Phys., 23:3 (1975), 608–614
2. D. N. Zubarev, A. V. Prozorkevich, S. A. Smolyanskii, “Derivation of nonlinear generalized equations of quantum relativistic hydrodynamics”, Theoret. and Math. Phys., 40:3 (1979), 821–831
3. N. N. Bychkova, S. V. Peletminskii, A. A. Yatsenko, “A representation of the kinetic equation for electrons in a homogeneous constant electromagnetic field”, Theoret. and Math. Phys., 45:1 (1980), 906–915
4. V. P. Seminozhenko, A. A. Yatsenko, “Kinetics of systems in strong alternating fields”, Theoret. and Math. Phys., 47:2 (1981), 457–464
5. V. M. Fomin, “Functional integrals in problems involving the kinetics of electrons in a strong field”, Theoret. and Math. Phys., 49:1 (1981), 915–925
6. È. G. Petrov, “Kinetic equations for a dynamical system in a condensed medium and a strong external field”, Theoret. and Math. Phys., 68:1 (1986), 714–721
7. Yu. I. Bokhan, “Nonequilibrium state of a ferroelectric in a strong magnetic field”, Theoret. and Math. Phys., 78:1 (1989), 105–109
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