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de Gennes's equations for the Bogoliubov amplitudes in an inhomogeneous superconductor are solved in a simple geometry with the use of a one-parameter Ansatz for the pair potential. The solutions are used to determine the parameter self-consistently. In the limit T→Tc, the results agree with the Ginzburg-Landau theory, but the present method is applicable at all temperatures T<Tc.
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Bar-Sagi et al. (1972) studied this question.
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