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As is known, the 1/q^2 theorem of Bogoliubov asserts that the mean density ofthe fermion pair states with the total momentum q obeys the inequality n_q >C/q^2 (q \to 0) in the case of the Fermi system taken at nonzero temperatureand in the superconducting state provided the interaction term of itsHamiltonian is locally gauge invariant. With the principle of correlationweakening it is proved in this paper that the reason for the mentioned singularbehaviour of n_q is the presence of the bound states of particle pairs withnonzero total momenta. Thus, below the temperature of the superconducting phasetransition there always exist the bound states of the fermion couples beyondthe pair condensate. If the pseudogap observed in the normal phase of thehigh-T_c superconductors is stipulated by the presence of the electron boundpairs, then the derived result suggests, in a model-independent manner, thatthe pseudogap survives below T_c.Comment: REVTeX, 8 pages, no figures, submitted to Phys. Rev.

physical review. b, condensed matter

Bound pair states beyond the condensate for Fermi systems below<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>:</mml:mo></mml:math> The pseudogap as a necessary condition

Bound pair states beyond the condensate for Fermi systems belowTc: The pseudogap as a necessary condition