Title: On the theory of complex potential scattering
Abstract: We study the effect of the addition of a complex potential lambdaV/sub sep/ to an arbitrary Schroedinger operator H = H/sub 0/+V on the singularities of the S matrix, as a function of lambda. Here V/sub sep/ is a separable interaction, and lambda is a complex coupling parameter. The paths of these singularities are determined to a great extent by certain saddle points in the momentum (or energy) plane. We explain certain critical phenomena recently reported in the literature. Associated with these saddles are branch-type singularities in the complex lambda plane, which are dynamical in origin. Some examples are discussed in detail.
Publication Year: 1981
Publication Date: 1981-02-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 18
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