Factorization and small-energy asymptotics for the radial Schrödinger equation. (English) Zbl 0973.81129

Summary: The radial Schrödinger equation is considered when the potential is real valued, is integrable, and has a finite first moment. The Jost function, the scattering matrix, the number of bound states for the potential are expressed in terms of the corresponding quantities associated with the fragments of the potential. An improved expansion on the small-energy asymptotics of the Jost solution is presented.


81U05 \(2\)-body potential quantum scattering theory
34L25 Scattering theory, inverse scattering involving ordinary differential operators
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