Literature Cited
N. N. Bogolyubov, Suppl. Physica (Utrecht),26, 1 (1960).
N. N. Bogolyubov, “On a model Hamiltonian in the theory of superconductivity”, Preprint R-511 [in Russian], JINR, Dubna (1960).
N. N. Bogolyubov (Jr.), Method of Investigating Model Hamiltonians [in Russian], Nauka, Moscow (1974), p. 176.
K. Hepp and E. H. Lieb, Ann. Phys. (N. Y.),76, 360 (1973).
I. P. Brankov, V. A. Zagrebnov, and N. S. Tonchev, Teor. Mat. Fiz.,22, 20 (1975).
N. N. Bogolyubov (Jr) and V. N. Plechko, Physica (Utrecht),82A, 163 (1976).
N. N. Bogolyubov (Jr), I. G. Brankov, V. A. Zagrebnov, A. M. Kurbatov, and N. S. Tonchev, The Approximating Hamiltonian Method in Statistical Physics [in Russian], Bulgarian Academy of Sciences, Sofiya (1981), p. 245.
E. B. Davies, Quantum Theory of Open Systems, Academic Press, London (1976).
K. Hepp, “Results and problems in irreversible statistical mechanics of open systems”, in: Lecture Notes in Mathematics, Vol. 39, Heidelberg, Berlin (1975), pp. 138–150.
K. Hepp and E. H. Lieb, Helv. Phys. Acta,46, 573 (1973).
K. Hepp, Ann. Phys. (N. Y.),90, 285 (1975).
N. N. Bogolyubov, “Kinetic equations for the electron-phonon system”, Preprint E17-11822 [in English], JINR, Dubna (1978).
N. N. Bogolyubov and N. N. Bogolyubov (Jr), Fiz. Elem. Chastits At. Yadra,11, 245 (1980).
A. R. Kazaryan, Dokl. Akad. Nauk SSSR,258, 336 (1981).
G. O. Balabanyan, Dokl. Akad. Nauk SSSR,265, 314 (1982).
G. O. Balabanyan, Teor. Mat. Fiz.,54, 130 (1983).
G. O. Balabanyan, Teor. Mat. Fiz.,54, 277 (1983).
N. N. Bogolyubov (Jr) Teor. Mat. Fiz.,40, 77 (1979).
G. O. Balabanyan, Teor. Mat. Fiz.,48, 89 (1981).
V. N. Popov and S. A. Fedotov, Teor. Mat. Fiz.,51, 73 (1982).
V. B. Kir'yanov and V. S. Yarunin, Teor. Mat. Fiz.,51, 456 (1982).
R. M. Wilcox, J. Math. Phys.,8, 962 (1967).
F. Berten, Fundamentals of Quantum Electronics [Russian translation], Mir, Moscow (1971), p. 629.
W. H. Louisell, Radiation and Noise in Quantum Electronics, McGraw-Hill, New York (1964).
S. V. Tyablikov, Methods of Quantum Theory of Magnetism, Plenum Press, New York (1967). (The reference is to p. 528 of the Russian second edition published by Nauka, Moscow (1975)).
N. N. Bogolyubov and N. N. Bogolyubov (Jr), “Aspects of polaron theory”, Preprint R17-81-65 [in Russian], JINR, Dubna (1981).
D. N. Zubarev, Usp. Fiz. Nauk,71, 71 (1960).
A. A. Kirillov, Elements of Representation Theory (Second Edition) [in Russian], Nauka, Moscow (1978), p. 344.
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Moscow Institute of Electronic Engineering. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 56, No. 3, pp. 418–431, September, 1983.
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Balabanyan, G.O. Derivation of asymptotically exact equations for the radiation in model systems of Dicke type. Theor Math Phys 56, 912–921 (1983). https://doi.org/10.1007/BF01086259
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DOI: https://doi.org/10.1007/BF01086259