Literature Cited
G. Wentzel, Phys. Rev.,120, 1572 (1960).
N. N. Bogolyubov, Izv. Akad. Nauk SSSR, Ser. Fiz.,11, 77 (1947).
N. N. Bogolyubov, Physica (Utrecht),26, 51 (1960).
N. N. Bogolyubov (Jr), Vestn. MGU,1, 34 (1966).
N. N. Bogolyubov (Jr), Physica (Utrecht),32, 933 (1966).
N. N. Bogolyubov (Jr), Method of Investigating Model Hamiltonians [in Russian], Nauka (1974).
A. M. Kurbatov, Preprint D17-11490 [in Russian], JINR Dubna (1978).
S. Golden, Phys. Rev. B,137, 1127 (1965); C. Thompson, J. Math. Phys.,6, 1812 (1965).
N. N. Bogolyubov, Phys. Abh. SU.,6, 1 (1962); R. Peierls, Proc. Cambridge Philos. Soc.,32, 477 (1936).
C. Bloch and C. de Dominicis, Nucl. Phys.,7, 459 (1958); M. Gaudin, Nucl. Phys.,15, 89 (1960).
R. P. Feynman, Lectures on Statistical Mechanics, Benjamin, New York (1971).
S. P. Kuleshov, V. A. Matveev, A. N. Sisakyan, M. A. Smondyrev, and A. N. Tavkhelidze. Fiz. Elem. Chastits At. Yadra,5, 3 (1974).
H. Araki, Commun. Math. Phys.,34, 167 (1973); M. B. Ruskai, Commun. Math. Phys.,32, 477 (1972).
M. Luban, Phys. Rev.,128, 965 (1962).
N. N. Bogolyubov (Jr), Yad. Fiz.,10, 425 (1969).
J. G. Brankov, N. S. Tonchev, and V. A. Zagrebnov Ann. Phys.,107, 82 (1977).
A. M. Kurbatov and D. P. Sankovich, Preprint R17-12131 [in Russian],JINR, Dubna (1978).
H. Fröhlich, Phys. Rev.,79, 845 (1950).
F. A. Berezin, The Method of Second Quantization, New York (1966).
Additional information
V. A. Steklov Mathematics Institute, USSR Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 42, No. 3, pp. 392–405, March, 1980.
Rights and permissions
About this article
Cite this article
Kurbatov, A.M., Sankovich, D.P. Consistency equations in the approximating Hamiltonian method. Theor Math Phys 42, 258–266 (1980). https://doi.org/10.1007/BF01018629
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01018629