Asymptotic phase shifts and Levinson theorem for 2D potentials with inverse square singularities

Details Asymptotic phase shifts and Levinson theorem for 2D potentials with inverse square singularities Asymptotic phase shifts and Levinson theorem for 2D potentials with inverse square singularities

2002-11-11

arxiv.org/abs/quant-ph/0211062v2

Physics

Quantum Physics

16 pages (REVTeX)

Scientific paper

The Levinson theorem for two-dimensional scattering is generalized for
potentials with inverse square singularities. By this theorem, the number of
bound states in a given m-th partial wave is related to the phase shift and the
singularity strength of the potential. For the m-wave phase shift the
asymptotic behaviour is calculated for short wavelengths.

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