Levinson's Theorem for Non-local Interactions in Two Dimensions
arXiv:quant-ph/9806005 · doi:10.1088/0305-4470/31/37/010
Abstract
In the light of the Sturm-Liouville theorem, the Levinson theorem for the Schrödinger equation with both local and non-local cylindrically symmetric potentials is studied. It is proved that the two-dimensional Levinson theorem holds for the case with both local and non-local cylindrically symmetric cutoff potentials, which is not necessarily separable. In addition, the problems related to the positive-energy bound states and the physically redundant state are also discussed in this paper.
Latex 11 pages, no figure, submitted to J. Phys. A Email: [email protected], [email protected]