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The generalized Mayer theorem in the approximating Hamiltonian method

Published online by Cambridge University Press:  17 February 2009

A. P. Bakulev ,
N. N. Bogolubov Jr  and
A. M. Kurbatov
A. P. Bakulev
Affiliation:
Physical Department, Moscow State University, Moscow, USSR.
N. N. Bogolubov Jr
Affiliation:
V. A. Steklov Institute of Mathematics, 117333 Moscow, USSR.
A. M. Kurbatov
Affiliation:
V. A. Steklov Institute of Mathematics, 117333 Moscow, USSR.
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Abstract

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With the help of the generalized Mayer theorem we obtain an improved inequality for free energies of model and approximating systems, where only “connected parts” over the approximating Hamiltonian are taken into account. For a concrete system we discuss the problems of convergence of appropriate series of “connected parts ”.

Type
Research Article
Information
The ANZIAM Journal , Volume 27 , Issue 1 , July 1985 , pp. 125 - 130
Copyright
Copyright © Australian Mathematical Society 1985

References

[1]Bogolubov, N. N., “Energy levels of a non-ideal Bose-Einstein gas”, Vestnik Moskov. Univ. No. 7 (1947), 43–56.Google Scholar
[2]Bogolubov, N. N., “A new method in the theory of superconductivity. I”, Zh. Èksper. Teoret. Fiz. 34 (1958), 58–65;Google Scholar
English transl., Soviet Phys. JETP 7 (1958), 41–50.Google Scholar
[3]Bogolubov, N. N., Joint Institute for Nuclear Research, Dubna, preprint 511 and 99 (1960).Google Scholar
[4]Bogolubov, N. N. Jr, “On model dynamical systems in statistical mechanics”, Phys. 32 (1966), 933–944.Google Scholar
[5]Bogolubov, N. N. Jr, A method for studying model Hamiltonians (Pergamon Press, Oxford-New York, 1972), 92–107.Google Scholar
[6]Kurbatov, A. M. and Sankovich, D. P., “Consistency equations in the approximating Hamiltonian method”;, Joint Institute for Nuclear Research, Dubna, communication 17–10324 (1980); Teoret. Mat. Fiz. 42 (1980), 392–405;Google Scholar
English transl. Theoret. and Math. Phys. 42 (1980), 258–266.Google Scholar
[7]Mayer, J. and Mayer, M. G., Statistical mechanics (Wiley, New York, 1940), 274–279.Google Scholar