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.
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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).
Bogoliubov, N. N.: J.E.T.P.7, 41 (1958);Haag, R.: Nuovo Cimento25, 287 (1962).
--,V. V. Tolmachev, andD. V. Shirkov: A new method in the theory of superconductivity, consultants bureau New York 1960.
Thouless, D. J.: Phys. Rev.117, 1256 (1960).
Wigner, E. P.: Group theory, New York: Academic Press 1959.
Whittaker, E. T., andG. N. Watson: A course of modern analysis.
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.
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Work performed as consultant to General Atomic Europe.
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Thirring, W. On the mathematical structure of the B.C.S.-model. II. Commun.Math. Phys. 7, 181–189 (1968). https://doi.org/10.1007/BF01645661
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DOI: https://doi.org/10.1007/BF01645661