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Levinson's Theorem for Non-local Interactions in Two Dimensions

Shi-Hai dong·Xi-Wen Hou·Zhong-Qi Ma
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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.

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Shi-Hai dong, Xi-Wen Hou, Zhong-Qi Ma. 1998-06-02. Levinson's Theorem for Non-local Interactions in Two Dimensions. https://doi.org/10.1088/0305-4470/31/37/010

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