Generalized theorems in the theory of model systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 33 (1977) no. 1, pp. 67-85 Cet article a éte moissonné depuis la source Math-Net.Ru

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Generalized method for calculation of one-time and many-time correlation functions for a product of the bounded operators in second quantization representation is suggested. An important theorem is proved from which it follows the possibility to calculate correlation averages for a large class of model systems.
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N. N. Bogolyubov (Jr.). Generalized theorems in the theory of model systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 33 (1977) no. 1, pp. 67-85. http://geodesic.mathdoc.fr/item/TMF_1977_33_1_a5/

[1] M. Kac, Phys. Fluids, 2 (1959), 8 | DOI | MR | Zbl

[2] M. Kac, G. E. Uhlenbeck, P. C. Hemmer, J. Math. Phys., 4 (1963), 216 ; 5 (1964), 229 | DOI | MR | Zbl

[3] N. G. Van Kampen, Phys. Rev., 135A (1964), 362; Physica, 48 (1970), 313 | DOI

[4] J. L. Lebowitz, O. Penrose, J. Math. Phys., 7 (1966), 98 | DOI | MR | Zbl

[5] E. H. Lieb, J. Math. Phys., 7 (1966), 1016 | DOI | MR

[6] A. J. F. Siegert, D. J. Vezzetti, J. Math. Phys., 9 (1968), 2173 | DOI | MR

[7] N. N. Bogolyubov, V. V. Tolmachev, D. V. Shirkov, Novyi metod v teorii sverkhprovodimosti, Izd-vo AN SSSR, 1958

[8] N. N. Bogolyubov, D. N. Zubarev, Yu. A. Tserkovnikov, ZhETF, 39 (1960), 120 | MR

[9] N. N. Bogolyubov (ml.), TMF, 4 (1970), 412 | Zbl

[10] N. N. Bogolyubov, Izbrannye trudy, t. 3, «Naukova dumka», Kiev, 1971, str. 5–55 | MR

[11] K. Husimi, Proc. Int. Conf. of Theoretical Physics (Tokyo, 1953), ed. H. Yukawa, 1953, 531

[12] H. N. V. Temperley, Proc. Phys. Soc., 67 (1954), 233 | DOI | Zbl

[13] V. N. Plechko, TMF, 28 (1976), 127 | MR

[14] N. N. Bogolyubov, D. N. Zubarev, Yu. A. Tserkovnikov, DAN SSSR, 117 (1957), 788

[15] J. Bardeen, L. N. Cooper, J. R. Schrieffer, Phys. Rev., 108 (1957), 1175 | DOI | MR | Zbl

[16] B. Muhlschlegel, J. Math. Phys., 3 (1962), 522 | DOI | MR | Zbl

[17] N. N. Bogoliubov (jr.), Physica, 32 (1966), 933 ; A Method for Studying Model Hamiltonians, Pergamon Press, 1972 | DOI | MR

[18] N. N. Bogoliubov (jr.), Physica, 32 (1966), 933 | DOI | MR

[19] N. N. Bogolyubov (ml.), Preprint ITF 67-1, Kiev, 1967

[20] I. G. Brankov, A. S. Shumovskii, Soobschenie OIYaI R4-6899, Dubna, 1973 | Zbl

[21] A. M. Kurbatov, V. N. Plechko, Soobschenie OIYaI R4-8403, Dubna, 1974

[22] N. N. Bogolyubov (ml.), A. G. Shumovskaya, A. S. Shumovskii, TMF, 21 (1974), 258

[23] N. N. Bogolubov (jr), V. N. Plechko, Preprint IC-75-68, Trieste, 1975 ; Physica, 82A (1976), 163 | MR | DOI

[24] S. V. Tyablikov, Metody kvantovoi teorii magnetizma, gl. II, «Nauka», 1965 | MR

[25] S. S. Lapushkin, Preprint OIYaI R4-7738, Dubna, 1974 | MR

[26] N. N. Bogolubov (jr.), J. G. Brankov, V. N. Plechko, Preprint IC/76/51, Trieste, 1976

[27] P. A. J. Tindemans, H. W. Capel, Physica, 72 (1974), 433 | DOI

[28] P. A. J. Tindemans, H. W. Capel, Physica, 75 (1974), 407 | DOI

[29] A. S. Shumovskii, Preprint ITF-71-56R, Kiev, 1971

[30] I. G. Brankov, A. S. Shumovskii, Preprint OIYaI R4-7205, Dubna, 1973 | Zbl

[31] I. G. Brankov, Preprint OIYaI R4-7000, Dubna, 1973 | Zbl