Abstract

The Korringa, Kohn, and Rostoker (KKR) conditions for Bloch waves that describe the motion of electrons in a perfect crystal, and the scattering of these waves by crystal impurities, are formulated by the methods of time-independent scattering theory without recourse to angular-momentum expansions. Generalized Levinson theorems (Friedel sum rules) are proved, including the possibility of half-bound states.

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