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A Constraint on the Anomalous Green's Function
It is shown that the physical constraint of the Anomalous Green's function
gives a natural pairing condition. The resulting self-consistency equation is
directly related to the BCS gap equation. Both inhomogeneous and homogeneous
systems are considered to illustrate the importance of the constraint.
Especially we find weak localization correction to the phonon-mediated
interaction.Comment: 14 pages, latex, no figure
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