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Prog. Theor. Phys. Vol. 30 No. 4 (1963) pp. 421-434
Cluster Expansions and the Theory of Many-Boson Systems
V. H. Smith, Jr. and
H. A. Gersch
Georgia Institute of Technology, Atlanta, Georgia, U.S.A.
(Received January 30, 1963; Revised July 5, 1963)
Abstract:
The previous configuration-space cluster integral treatment of the properties of the ground state of a many-boson system is modified by including those higher order diagrams consistent with the pair excitation approximation, which were previously omitted. The cluster expansions involve a parameter, analogous to the fugacity in classical expansions, whose definition automatically accounts for the depletion of the free particle ground state. The resulting expectation value for the Hamiltonian is in agreement with that obtained by field-theoretic methods for states of pair-excitation type.
URL :
http://ptp.ipap.jp/link?PTP/30/421/
DOI : 10.1143/PTP.30.421
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