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

dc.creatordong, Shi-Hai
dc.creatorHou, Xi-Wen
dc.creatorMa, Zhong-Qi
dc.date1998-06-02
dc.date.accessioned2026-07-07T10:55:05Z
dc.date.available2026-07-07T10:55:05Z
dc.descriptionIn 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.
dc.descriptionLatex 11 pages, no figure, submitted to J. Phys. A Email: dongsh@bepc4.ihep.ac.cn, mazq@bepc3.ihep.ac.cn
dc.identifierhttps://arxiv.org/abs/quant-ph/9806005
dc.identifierhttp://arxiv.org/abs/quant-ph/9806005
dc.identifierJ.Phys.A31:7501-7510,1998
dc.identifierdoi:10.1088/0305-4470/31/37/010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/186006
dc.subjectQuantum Physics
dc.titleLevinson's Theorem for Non-local Interactions in Two Dimensions
dc.typetext

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