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
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)
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.
DOI : 10.1143/PTP.27.511
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