Orthogonality Catastrophe for a System of Interacting Electrons. III

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Abstract
The Anderson orthogonality theorem is derived for a general non-separable local potential. It is shown that the overlap integral is given for this general case by , where is the scattering S-matrix at the Fermi energy. This form of the overlap integral is also shown to hold for interacting conduction electrons if local potential in the final state is replaced by the self-energy difference due to the local potential.