Abstract:
The integral equations are formulated and the perturbation theory series are constructed for the nonequilibrium statistical operators obtained earlier by the authors in [1–4].
Citation:
D. N. Zubarev, V. P. Kalashnikov, “Perturbation theory and integral equations for nonequilibrium statistical operators”, TMF, 5:3 (1970), 406–416; Theoret. and Math. Phys., 5:3 (1970), 1242–1249
\Bibitem{ZubKal70}
\by D.~N.~Zubarev, V.~P.~Kalashnikov
\paper Perturbation theory and integral equations for nonequilibrium statistical operators
\jour TMF
\yr 1970
\vol 5
\issue 3
\pages 406--416
\mathnet{http://mi.mathnet.ru/tmf4218}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=489592}
\transl
\jour Theoret. and Math. Phys.
\yr 1970
\vol 5
\issue 3
\pages 1242--1249
\crossref{https://doi.org/10.1007/BF01035255}
Linking options:
https://www.mathnet.ru/eng/tmf4218
https://www.mathnet.ru/eng/tmf/v5/i3/p406
This publication is cited in the following 23 articles:
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D. N. Zubarev, “Contemporary methods of the statistical theory of nonequilibrium processes”, J. Soviet Math., 16:6 (1981), 1509–1571
Yu. S. Gangnus, A. V. Prozorkevich, S. A. Smolyanskii, “Kinetic properties of a pion gas”, Theoret. and Math. Phys., 35:1 (1978), 321–326
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A. V. Prozorkevich, S. A. Smolyanskii, “Covariant formalism in the theory of quantum relativistic kinetic equations”, Theoret. and Math. Phys., 31:1 (1977), 357–361
V. P. Vstovskii, “Macroscopic description of open dynamical systems”, Theoret. and Math. Phys., 31:3 (1977), 540–548
M. I. Auslender, V. P. Kalashnikov, “Generating functionals in the nonequilibrium statistical mechanics of a nonideal Fermi gas”, Theoret. and Math. Phys., 22:1 (1975), 32–44
G. O. Balabanyan, A. D. Khon'kin, “Construction of generalized normal solutions of kinetic equations for a mixture of gases”, Theoret. and Math. Phys., 18:1 (1974), 92–97
R. Kh. Amirov, S. A. Smolyanskii, L. Sh. Shekhter, “On the theory of quantum kinetic processes in strong alternating fields”, Theoret. and Math. Phys., 21:2 (1974), 1116–1124
R. Kh. Amirov, S. A. Smolyanskii, L. Sh. Shekhter, “Derivation of kinetic equations of classical statistical mechanics in the weak-interaction approximation by the nonequilibrium statistical operator method”, Theoret. and Math. Phys., 16:1 (1973), 723–728
D. N. Zubarev, A. D. Khon'kin, “Method of construction of normal solutions of kinetic equations by means of boundary conditions”, Theoret. and Math. Phys., 11:3 (1972), 601–607
K. Walasek, “Damping of librons in solid orthohydrogen”, Physics Letters A, 42:1 (1972), 95
D. N. Zubarev, V. P. Kalashnikov, “Equivalence of various methods in the statistical mechanics of irreversible processes”, Theoret. and Math. Phys., 7:3 (1971), 600–616
V. P. Kalashnikov, “Response to a mechanical perturbation and the Green's functions for nonequilibrium systems”, Theoret. and Math. Phys., 9:1 (1971), 1003–1012
V. P. Kalashnikov, “Green's functions and admittances of nonequilibrium systems in a quasilinear approximation”, Theoret. and Math. Phys., 9:3 (1971), 1230–1238
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