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 cut-off 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.
Original language | English |
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Pages (from-to) | 7501-7509 |
Number of pages | 9 |
Journal | Journal of Physics A: Mathematical and General |
Volume | 31 |
Issue number | 37 |
DOIs | |
State | Published - 18 Sep 1998 |
Externally published | Yes |