Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-25T13:57:07.715Z Has data issue: false hasContentIssue false
  • English
  • Français

Ground state of a system of many Bose particles

Published online by Cambridge University Press:  24 October 2008

J. Lekner
J. Lekner
Affiliation:
Cavendish Laboratory, Cambridge
Get access Rights & Permissions [Opens in a new window]

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
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 71 , Issue 3 , May 1972 , pp. 575 - 579
Copyright
Copyright © Cambridge Philosophical Society 1972

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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