Time- and Position-Dependent Superconductivity

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Abstract
Anderson's time-dependent generalization of the BCS theory of superconductivity and Parmenter's position-dependent generalization have successfully been combined. The result is a powerful formalism which is capable of treating a number of previously intractable problems. The derived boundary conditions are consistent with but more general than the boundary conditions previously assumed by (1) Ginzburg and Landau, and (2) Parmenter. The formalism is strikingly analogous to "micromagnetics," the continuum theory of ferromagnetism in solids.

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