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Expectation values of operators in the quasi-chemical equilibrium theory part II
Published online by Cambridge University Press: 09 April 2009
Abstract
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Expectation values of one-particle and two-particle operators are evaluated in the quasi-chemical equilibrium (pair correlation) approximation to statistical mechanics. Earlier work was restricted to the case of extreme Bose-Einstein condensation of the correlated pairs; the new formulas are not so restricted, but are correspondingly more complicated to evaluate practically. However, a simple result can be obtained for the expectation value of the number of particles.
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- Copyright © Australian Mathematical Society 1962
References
[3]Blatt, J. M., and Matsubara, T., Prog. Theor. Phys., 20, 533 (1958), called Q henceforth.Google Scholar
[4]Matsubara, T. and Blatt, J. M., Prog. Theor. Phys., 23, 451 (1960), called C henceforth.CrossRefGoogle Scholar
[9]Blatt, J. M.Prog. Theor. Phys., 26, 761 (1961). Of these, references [3], [4]and [6] are directly related to the present work, and formulas from these references will be used frequently. We shall refer to these papers by the letters Q (for quasi-chemical equilibrium theory), C (for Bosé-Einstein Condensation), and E (for Expectation values) henceforth; equation (C, 2.24) means equation (2.24) of paper C, i.e., of reference (4).CrossRefGoogle Scholar
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