Asymptotic phase shifts and Levinson theorem for 2D potentials with inverse square singularities
Quantum Physics
2013-05-29 v2
Abstract
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.
Keywords
Cite
@article{arxiv.quant-ph/0211062,
title = {Asymptotic phase shifts and Levinson theorem for 2D potentials with inverse square singularities},
author = {Denis D. Sheka and Boris A. Ivanov and Franz G. Mertens},
journal= {arXiv preprint arXiv:quant-ph/0211062},
year = {2013}
}
Comments
16 pages (REVTeX)