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Ground state of a system of many Bose particles

Published online by Cambridge University Press:  24 October 2008

J. Lekner
Affiliation:
Cavendish Laboratory, Cambridge

Abstract

A many-body variational calculation is carried out using a trial wave function which is a product of pair functions. An exact integro-differential equation for the pair function is derived, valid for any system of more than three Bose particles.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1972

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References

REFERENCES

(1)Bijl, A.Physica 7 (1940), 869.CrossRefGoogle Scholar
(2)Bogoliubov, N. N. and Zubarev, D. M.Soviet Physics JETP 1 (1955), 83.Google Scholar
(3)Sim, H. K., Woo, C. W. and Buchler, J. R.Phys. Rev. A 2 (1970), 2024.CrossRefGoogle Scholar
(4)Feenberg, E.Theory of quantum fluids (Academic Press, New York, 1969).Google Scholar
Feenberg, E.Amer. J. Phys. 38 (1970), 684.CrossRefGoogle Scholar
(5)McMillan, W. L.Phys. Rev. 138 (1965), A 442.CrossRefGoogle Scholar
(6)Frisch, H. L. and Lebowitz, J. L.The equilibrium theory of classical fluids (Benjamin, New York, 1964).Google Scholar
(7)Francis, W. P., Chester, G. V. and Reatto, L.Phys. Rev. A 1 (1970), 86.CrossRefGoogle Scholar
(8)Abe, R.Progr. Theoret. Phys. 19 (1958), 57, 407.CrossRefGoogle Scholar
(9)Hiroike, K.Progr. Theoret. Phys. 27 (1962), 342.CrossRefGoogle Scholar
(10)Lekner, J.Progr. Theoret. Phys. 45 (1971), 36.CrossRefGoogle Scholar
(11)Lekner, J.Proyr. Theoret. Phys. 45 (1971), 42.CrossRefGoogle Scholar
(12)Yvon, J.Actualitis Scientiflques et Industrielles, No. 203 Herman et Cie. (Paris, 1935)Google Scholar
Yvon, J.Correlations and entropy in classical statistical mechanics (Pergamon, Oxford, 1969).Google Scholar
(13)Jasrsow, R.Phys. Rev. 98 (1955), 1479.Google Scholar