Orthogonality Catastrophe for a System of Interacting Electrons. III
Abstract
The Anderson orthogonality theorem is derived for a general nonseparable local potential. It is shown that the overlap integral is given for this general case by [ exp[(1/(2(2π i)^{2})) Tr(ln hat{S}(μ))^{2} log N], ]where hat{S}(μ) is the scattering Smatrix at the Fermi energy. This form of the overlap integral is also shown to hold for interacting conduction electrons if local potential hat{V} in the final state is replaced by the selfenergy difference hat{Σ}^{*}(μ) due to the local potential.
 Publication:

Progress of Theoretical Physics
 Pub Date:
 November 1982
 DOI:
 10.1143/PTP.68.1504
 Bibcode:
 1982PThPh..68.1504Y