Geodesic
Consistency equations in the approximating Hamiltonian method
Teoretičeskaâ i matematičeskaâ fizika, Tome 42 (1980) no. 3, pp. 392-405 Cet article a éte moissonné depuis la source Math-Net.Ru

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Method of thermodynamically equivalent approximation is developed which allows one to obtain the asymptotical (in the thermodynamical sense) free energy function. To this end the problem of the possibility to obtain an exact (in the thermodynamical sense) expression for the free energy function is related to the solution of generalised self-consistent equations obtained in this approach. The equations mentioned are derived and studied for some concrete quantum statistical models. 
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A. M. Kurbatov; D. P. Sankovich. Consistency equations in the approximating Hamiltonian method. Teoretičeskaâ i matematičeskaâ fizika, Tome 42 (1980) no. 3, pp. 392-405. http://geodesic.mathdoc.fr/item/TMF_1980_42_3_a9/

[1] G. Wentzel, Phys. Rev., 120 (1960), 1572 | DOI | MR | Zbl

[2] N. N. Bogolyubov, Izv. AN SSSR, ser. fiz., 11 (1947), 77 | MR

[3] N. N. Bogolubov, Physica, 26 (1960), 51 | DOI

[4] N. N. Bogolyubov (ml.), Vestn. MGU, 1 (1966), 34

[5] N. N. Bogolubov (Jr), Physica, 32 (1966), 933 | DOI | MR

[6] N. N. Bogolyubov (ml.), Metod issledovaniya modelnykh gamiltonianov, «Nauka», 1974 | MR

[7] A. M. Kurbatov, Preprint OIYaI D17-11490, 79, Dubna, 1978 | Zbl

[8] S. Golden, Phys. Rev., B137 (1965), 1127 | DOI | MR

[9] N. N. Bogolubov, Phys. Abh. SU., 6 (1962), 1; R. Pierls, Proc. Camb. Phil. Soc., 32 (1936), 477 | DOI

[10] C. Bloch, C. de Dominicis, Nucl. Phys., 7 (1958), 459 ; M. Gaudin, Nucl. Phys., 15 (1960), 89 | DOI | Zbl | DOI | MR | Zbl

[11] R. Feinman, Statisticheskaya mekhanika, «Mir», 1975

[12] S. P. Kuleshov, V. A. Matveev, A. N. Sisakyan, M. A. Smondyrev, A. N. Tavkhelidze, EChAYa, 5 (1974), 3 | MR

[13] H. Araki, Commun. Math. Phys., 34 (1973), 167 ; M. B. Ruskai, Commun. Math. Phys., 32 (1972), 477 | DOI | MR | Zbl | MR

[14] M. Luban, Phys. Rev., 128 (1962), 965 | DOI | MR | Zbl

[15] N. N. Bogolyubov (ml.), YaF, 10 (1969), 425 | MR

[16] J. G. Brankov, N. S. Tonchev, V. A. Zagrebnov, Ann. Phys., 107 (1977), 82 | DOI | MR

[17] A. M. Kurbatov, D. P. Sankovich, Preprint OIYaI R17-12131, Dubna, 1978 | MR | Zbl

[18] H. Fröhlich, Phys. Rev., 79 (1950), 845 | DOI | Zbl

[19] F. A. Berezin, Metod vtorichnogo kvantovaniya, «Nauka», 1965 | MR