Hostname: page-component-84b7d79bbc-fnpn6 Total loading time: 0 Render date: 2024-07-27T21:28:52.117Z Has data issue: false hasContentIssue false
  • English
  • Français

A perturbation approach to Bose-condensed pairs

Published online by Cambridge University Press:  09 April 2009

Colin J. Thompson  and
John M. Blatt
Colin J. Thompson
Affiliation:
Applied Mathematics Department, University of New South Wales, Kensington, N.S.W.
John M. Blatt
Affiliation:
Applied Mathematics Department, University of New South Wales, Kensington, N.S.W.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

A perturbation method is developed, and is used to obtain approximate expressions for the expectation values of one-particle and two particle operators in the quasi-chemical equilibrium (pair correlation) approximation to statistical mechanics, for the case of non-extreme Bose-Einstein condensation of the correlated pairs. To lowest order, the approximate results reproduce the results obtained previously for the case of extreme Bose-Einstein condensation.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 3 , Issue 3 , August 1963 , pp. 307 - 324
Copyright
Copyright © Australian Mathematical Society 1963

References

[1]Schafroth, M. R., Butler, S. T., and Blatt, J. M., Helv. Phys. Acta, 30, 93 (1957).Google Scholar
[2]Schafroth, M. R., Phys. Rev. 96, 1442 (1954).CrossRefGoogle Scholar
[3]Schafroth, M. R., Phys. Rev. 100, 463 (1955).CrossRefGoogle Scholar
[4]BlattJ. M., J. J. M., J.Aust. Math. Soc., 1, 465 (1960). Called E1.Google Scholar
[5]Matsubara, T., and Blatt, J. M., Prog. Theor. Phys. 23, 451 (1900). Called C.CrossRefGoogle Scholar
[6]Blatt, J. M., “Expectation values of operators in the quasi-chemical equilibrium theory part 2”. To be published in J. Aust. Math. Soc. Called E11.CrossRefGoogle Scholar
[7]Blatt, J. M. and Matsubara, T., Prog. Theor. Phys. 20, 553 (1958). Called Q.Google Scholar
[8]Bogoliubov, N., Tolmachev, V., and Shirkov, D., A New Method in the theory of Super-conductivity, Moscow (1958).Google Scholar
[9]Blatt, J. M., and Matsubara, T., Prog. Theor. Phys. 20, 781 (1958).Google Scholar
[10]Blatt, J. M., Prog. Theor. Phys., 24, 851 (1960).CrossRefGoogle Scholar
[11]Zumino, B., to be published; we thank Professor Zumino for informing us of this work prior to publication.Google Scholar