Generalized optical theorem
PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS(2023)
摘要
We present the generalized optical theorem and its applications with special emphasis on the roles of bound states. First, we prove the theorem which gives a necessary and sufficient condition for a function ' k ' | T |k'of two variables k' and k to be physically acceptable as a half-on-shell T-matrix, i.e., to have an underlying Hermitian potential V . Secondly, using the theorem, we construct a scattering theory starting from a physically acceptable half-on-shell T-matrix'k' | T |k' , which in turn introduces a very useful classification scheme of Hermitian potentials. In the end, as an application of our theory, we present the most general solution of the inverse scattering problem with numerical examples.
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关键词
theorem
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