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Variational Method for Dense Systems

Published online by Cambridge University Press:  14 August 2015

V. R. Pandharipande
V. R. Pandharipande*
Affiliation:
Laboratory of Nuclear Studies, Cornell University, Ithaca, New York, U.S.A.

Abstract

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The variational method for calculating energy of quantum fluids, and its applications to the Bose liquid 4He, Fermi neutron gas, and liquid 3He are discussed. The correlation functions are parameterized by their healing distance, and can depend on the states occupied by the correlated particles in the model wave function. They are calculated by constrained variation of lowest order contributions. The healing distance has a prescribed value in lowest order calculations, whereas it is sufficiently large in hopefully exact energy calculations. The direct many-body cluster diagrams are summed with successive approximations of an integral equation. The contribution of exchange diagrams is shown to decrease rapidly with the number of exchanges, and their sums are truncated after the energy has converged to within a few percent.

Type
Research Article
Information
Symposium - International Astronomical Union , Volume 53: Physics of Dense Matter , 1974 , pp. 47 - 65
Copyright
Copyright © Reidel 1974 

References

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