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Prog. Theor. Phys. Vol. 27 No. 3 (1962) pp. 511-528
The Expectation Value of a Many-Body Hamiltonian in the Quasi-Chemical Equilibrium Theory
James McKenna and
John M. Blatt*
Bell Telephone Laboratories, Incorporated, Murray Hill, New Jersey, U.S.A.
*University of New South Wales, Kensington, New South Wales, Australia
(Received October 30, 1961)
Abstract:
For the purpose of studying the Meissner effect in superconductivity, a Hamiltonian is considered which includes both Coulomb interactions and electron-phonon interactions. The expectation value of this Hamiltonian is evaluated in the quasi-chemical equilibrium approximation to statistical mechanics. A compact expression is obtained for the expectation value of the Hamiltonian which, it is hoped, will be useful in a variational treatment of the Meissner effect.
URL :
http://ptp.ipap.jp/link?PTP/27/511/
DOI : 10.1143/PTP.27.511
References:
- J. M. Blatt and T. Matsubara, Prog. Theor. Phys. 20 (1958), 553[PTP].
- T. Matsubara and J. M. Blatt, Prog. Theor. Phys. 23 (1960), 451[PTP].
- J. M. Blatt, Prog. Theor. Phys. 24 (1960), 851[PTP].
- J. M. Blatt, J. of Australian Math. Soc. 1 (1960), 465.
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J. Bardeen, L. N. Cooper and J. R. Schrieffer, Phys. Rev. 108 (1957), 1175[APS].
N. Bogoliubov, V. V. Tolmachev and D. V. Shirkov, “A New Method in the Theory of Superconductivity,” Dubna (1958).
