HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Volume 24 (1960) > Number 4
| Next Article >

Prog. Theor. Phys. Vol. 24 No. 4 (1960) pp. 851-876

[ Full Text PDF : FREE ACCESS (1547K) ]

The Meissner Effect in the Quasi-Chemical Equilibrium Theory of Superconductivity

J. M. Blatt

Applied Mathematics Department, University of New South Wales, Kensington, N. S. W., Australia

(Received June 4, 1960)

Abstract:

Based on the quasi-chemical equilibrium theory of superconductivity, we give an explicitly gauge-invariant proof of the Meissner-Ochsenfeld effect (magnetic field expulsion from a superconductor). The essential condition for a Meissner effect is the Bose-Einstein condensation of electron pairs. Other aspects of the problem, such as the energy gap and plasma waves, are not necessary for the Meissner effect and do not appear in our calculation. We do not make use of the random phase approximation.


URL : http://ptp.ipap.jp/link?PTP/24/851/
DOI : 10.1143/PTP.24.851

[ Full Text PDF : FREE ACCESS (1547K) ] Citation:

References:

  1. F. London, Superfluids, (John Wiley and Sons, New York, 1950) Vol. 1.
  2. J. Bardeen, Phys. Rev. 81 (1951), 469[APS]; article in Encyclopedia of Physics.
  3. M. J. Buckingham, Nuovo Cim. 5 (1957), 1763.
  4. J. Bardeen, Nuovo Cim. 5 (1957), 1764.
  5. V. L. Ginzburg, Usp. Fiz. Nauk 48 (1952), 25; Translation in Fortschritte der Physik (Berlin) 1 (1953), 101.
  6. R. P. Feynman, Proc. Kyoto Conference (1953).
  7. M. R. Schafroth, Phys. Rev. 100 (1955), 463[APS].
  8. M. R. Schafroth, Phys. Rev. 96 (1954), 1442, [APS]L.
  9. M. R. Schafroth, S. T. Butler and J. M. Blatt, Helv. Phys. Acta 30 (1957), 93.
  10. T. Matsubara and J. M. Blatt, Prog. Theor. Phys. 23 (1960), 451[PTP].
  11. J. Bardeen, L. N. Cooper and J. R. Schrieffer, Phys. Rev. 108 (1957), 1175[APS].
  12. We are grateful to Professors H. Fröhlich and J. E. Mayer for discussions concerning this point.
  13. H. Fröhlich, Phys. Rev. 79 (1950), 845[APS].
  14. G. Rickayzen, Phys. Rev. 111 (1958), 817[APS].
  15. Bogoliubov, Tolmachev and Shirkov, Dubna (1958).
  16. G. Wentzel, Phys. Rev. 111 (1958), 1488[APS].
  17. J. M. Blatt, T. Matsubara and R. M. May, Prog. Theor. Phys. 21 (1959), 745[PTP].
  18. R. M. May and M. R. Schafroth, Phys. Rev. 115 (1959), 1446[APS].
  19. G. Wentzel, Report at the Cambridge Conference on Superconductivity (1959).
  20. P. Anderson, Phys. Rev. 110 (1958), 827[APS]; ibid. 112 (1958), 1900[APS].
    a) G. Rickayzen, Phys. Rev. 115 (1959), 795[APS].
  21. J. M. Blatt and T. Matsubara, Prog. Theor. Phys. 20 (1958), 781[PTP].
  22. K. Yosida, Prog. Theor. Phys. 21 (1959), 731[PTP].
  23. N. Bogoliubov, Sov. Phys. -Uspekhi 67 (1959), 236.
  24. Y. Nambu, Phys. Rev. 117 (1960), 648[APS].
    a) L. P. Kadanoff and P. C. Martin, to be published.
    The author is grateful to Drs. Kadanoff and Martin for sending him a preprint.
  25. J. M. Blatt, to be published in the Journal of the Australian Mathematical Society.
  26. J. M. Blatt, Prog. Theor. Phys. 23 (1960), 447[PTP].
  27. J. J. Valatin, Nuovo Cim. 7 (1957), 843.
  28. K. Yosida, Phys. Rev. 111 (1958), 1255[APS].
  29. A. B. Pippard, Prog. R. Soc. (London) A 216 (1953), 547.
  30. P. Anderson, Report at the Cambridge Conference on Superconductivity (1959).

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 26 No. 5 (1961) pp. 761-789 :
    Persistent Ring Currents in an Ideal Bose Gas
    J. M. Blatt
  2. Progress of Theoretical Physics Vol. 27 No. 3 (1962) pp. 511-528 :
    The Expectation Value of a Many-Body Hamiltonian in the Quasi-Chemical Equilibrium Theory
    James McKenna and John M. Blatt

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.