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Boundary conditions for statistical operators in the theory of nonequilibrium processes and quasiaverages
Teoretičeskaâ i matematičeskaâ fizika, Tome 3 (1970) no. 2, pp. 276-286 Cet article a éte moissonné depuis la source Math-Net.Ru

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It is shown that the boundary conditions for nonequllibrlum statistical operators can be formulated by introducing infinitesimally small sources which destroy the symmetry with respect to time reflection into the Liouville equation for the statistical operator (or its logarithm). These boundary conditions have a very close analogy with the boundary conditions which single out the retarded solutions of the Schrödinger equation in the quantum theory of scattering. 
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     title = {Boundary conditions for statistical operators in the theory of nonequilibrium processes and quasiaverages},
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}
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D. N. Zubarev. Boundary conditions for statistical operators in the theory of nonequilibrium processes and quasiaverages. Teoretičeskaâ i matematičeskaâ fizika, Tome 3 (1970) no. 2, pp. 276-286. http://geodesic.mathdoc.fr/item/TMF_1970_3_2_a12/

[1] N. N. Bogolyubov, Kvazisrednie v zadachakh statisticheskoi mekhaniki, Preprint R-788, OIYaI, 1961 ; Physikalische Abhandlungen aus der S.U., 6, 1; 118; (1962), 229 | MR

[2] N. N. Bogolyubov, Physica, 26 (1960), 1 | DOI

[3] J. Goldstone, Nouvo Cim., 19 (1961), 154 | DOI | MR | Zbl

[4] H. Wagner, Zs. Phys., 195 (1966), 275 | DOI

[5] N. D. Mermin, H. Wagner, Phys. Rev. Lett., 17 (1966), 1133 | DOI | MR

[6] D. N. Zubarev, DAN SSSR, 140 (1961), 92 ; 162, 532 ; (1965), 794 ; 164 (1965), 65 ; Проблемы теоретической физики, «Наука», 1969 ; Препринт ИТФ-69-6, Киев, 1969 | MR | Zbl | MR | MR | MR

[7] D. N. Zubarev, V. P. Kalashnikov, TMF, 3:1 (1970) | MR

[8] V. S. Vladimirov, Uravneniya matematicheskoi fiziki, «Nauka», 1967 | MR

[9] M. Gell-Mann, M. L. Goldberger, Phys. Rev., 91 (1953), 398 | DOI | MR | Zbl

[10] R. Kubo, J. Phys. Soc. Japan, 12 (1957), 570 ; Lectures in theoretical Physics (Boulder), 1 (1958), 120 | DOI | MR | Zbl

[11] N. N. Bogolyubov, Problemy dinamicheskoi teorii v statisticheskoi fizike, OGIZ, 1946 | MR

[12] D. N. Zubarev, V. P. Kalashnikov, TMF, 1 (1969), 137 | MR

[13] J. A. Mc. Lennan, Phys. Fluids, 4 (1961), 1319 ; Adv. in Chem. Phys., 5 (1963), 261 | DOI | MR | DOI

[14] L. L. Buishvili, D. N. Zubarev, FTT, 7 (1965), 722 | MR

[15] L. L. Buishvili, ZhETF, 49 (1965), 1868; ФТТ, 7 (1965), 1871 ; 9 (1967), 2157 | MR

[16] L. L. Buishvili, M. D. Zviadadze, FTT, 9 (1967), 1969; 10, 2397; (1967), 2553 | MR

[17] L. L. Buishvili, M. D. Zviadadze, G. R. Khutsishvili, ZhETF, 54 (1968), 876; 56 (1969), 290

[18] L. L. Buishvili, N. P. Giorgadze, FTT, 10 (1968), 1181; ДАН СССР, 189 (1969), 508

[19] N. S. Bendiashvili, L. L. Buishvili, M. D. Zviadadze, FTT, 8 (1966), 2919; 11 (1969), 727

[20] N. S. Bendiashvili, L. L. Buishvili, G. R. Khutsishvili, ZhETF, 57 (1969), 1231

[21] V. P. Kalashnikov, FMM, 22 (1966), 786; ФТТ, 9 (1967), 634; Phys. Stat. Sol., 21 (1967), 775 ; Phys. Lett., 26A (1968), 433 ; ДАН СССР, 186 (1969), 803 ; Физ. техн. полупроводн., 1 (1967), 1281; Некоторые вопросы магнетизма и прочности твердых тел, No 27, ИФМ АН СССР, Свердловск, 1968 | DOI

[22] L. A. Pokrovskii, DAN SSSR, 177 (1967), 1054 ; 182 (1968), 317 ; 183 (1968), 806 ; ТМФ, 2 (1970), 103 ; 2 (1970)

[23] V. G. Grachev, UFZh, 13 (1968), 633 | MR

[24] D. N. Zubarev, A. G. Bashkirov, Phys. Lett., 25A (1967), 202 ; Physica, 39 (1968), 334 | DOI | DOI

[25] A. G. Bashkirov, D. N. Zubarev, TMF, 1 (1969), 407

[26] T. N. Khazanovich, V. A. Savchenko, Phys. Lett., 27A (1968), 615 | DOI

[27] T. N. Khazanovich, Molecular Physics, 17 (1968), 281 ; Phys. Lett., 29A (1969), 601 | DOI | DOI

[28] A. D. Khonkin, DAN SSSR, 183 (1968), 1285

[29] H. Mori, Phys. Rev., 112 (1958), 1829 ; Prog. Theor. Phys., 28 (1962), 763 | DOI | MR | Zbl | DOI | Zbl

[30] S. V. Peletminskii, A. A. Yatsenko, ZhETF, 53 (1967), 1327

[31] B. N. Provorotov, ZhETF, 41 (1961), 1522

[32] R. Zwanzig, Phys. Rev., 124 (1961), 983 | DOI | Zbl

[33] B. Robertson, Phys. Rev., 153 (1967), 391 ; 144 (1966), 151 | DOI | DOI | MR | Zbl

[34] S. Nakajima, Prog. Theor. Phys., 20 (1958), 948 | DOI | MR | Zbl