dorsal/arxiv
View SchemaAsymptotic phase shifts and Levinson theorem for 2D potentials with inverse square singularities
| Authors | Denis D. Sheka, Boris A. Ivanov, Franz G. Mertens |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0211062 |
| URL | https://arxiv.org/abs/quant-ph/0211062 |
| DOI | 10.1103/PhysRevA.68.012707 |
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.
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"abstract": "The Levinson theorem for two-dimensional scattering is generalized for\npotentials with inverse square singularities. By this theorem, the number of\nbound states in a given m-th partial wave is related to the phase shift and the\nsingularity strength of the potential. For the m-wave phase shift the\nasymptotic behaviour is calculated for short wavelengths.",
"arxiv_id": "quant-ph/0211062",
"authors": [
"Denis D. Sheka",
"Boris A. Ivanov",
"Franz G. Mertens"
],
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"quant-ph"
],
"doi": "10.1103/PhysRevA.68.012707",
"title": "Asymptotic phase shifts and Levinson theorem for 2D potentials with inverse square singularities",
"url": "https://arxiv.org/abs/quant-ph/0211062"
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