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Communications in Mathematical Physics

, Volume 7, Issue 3, pp 181–189 | Cite as

On the mathematical structure of the B.C.S.-model. II

  • W. Thirring
Article

Abstract

It is shown for the degenerate B.C.S.-model how in the limit of an infinite system the exact thermal Greens-functions approach a gauge invariant average of the one's calculated with the Bogoliubov-Haag method.

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics Quantum Computing 
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References

  1. 1.
    Thirring, W., andA. Wehrl: Commun. Math. Phys.4, 303 (1967); see also:Kato, Y.: Prog. Theor. Phys.34, 734 (1965).Kato, Y., andN. Mugibayashi: Friedrichs-Berezin transformation and its application to the spectral analysis of the B.C.S. reduced hamiltonian, preprint 1967;Emch, G., andM. Guenin: J. Math. Phys.7, 915 (1966).Google Scholar
  2. 2.
    Bogoliubov, N. N.: J.E.T.P.7, 41 (1958);Haag, R.: Nuovo Cimento25, 287 (1962).Google Scholar
  3. 3.
    --,V. V. Tolmachev, andD. V. Shirkov: A new method in the theory of superconductivity, consultants bureau New York 1960.Google Scholar
  4. 4.
    Thouless, D. J.: Phys. Rev.117, 1256 (1960).Google Scholar
  5. 5.
    Wigner, E. P.: Group theory, New York: Academic Press 1959.Google Scholar
  6. 6.
    Whittaker, E. T., andG. N. Watson: A course of modern analysis.Google Scholar
  7. 7.
    After this work was completed the author received a preprintBogoliubov, N. N., jr.: The correlation functions in the theory of superconductivity. Kiew 1967 where similar results are derived.Google Scholar

Copyright information

© Springer-Verlag 1968

Authors and Affiliations

  • W. Thirring
    • 1
  1. 1.Institute for Theoretical PhysicsUniversity of ViennaAustria

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