Scattering Wave Functions at Bound State Poles

Details Scattering Wave Functions at Bound State Poles Scattering Wave Functions at Bound State Poles

1996-10-21

arxiv.org/abs/quant-ph/9610032v1

Physics

Quantum Physics

15 pages Latex. No graphs

Scientific paper

10.1088/0031-8949/56/6/004

The normalisation relation between the bound and scattering S-state wave functions, extrapolated to the bound state pole, is derived from the Schroedinger equation. It is shown that, unlike previous work, the result does not depend on the details of the potential through the corresponding Jost function but is given uniquely in terms of the binding energy. The generalisations to higher partial waves and one-dimensional scattering are given.

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