dorsal/arxiv
View SchemaRadial Coulomb and Oscillator Systems in Arbitrary Dimensions
| Authors | Alan Kostelecky, Neil Russell |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9602007 |
| URL | https://arxiv.org/abs/quant-ph/9602007 |
| DOI | 10.1063/1.531504 |
| Journal | J.Math.Phys.37:2166-2181,1996 |
Abstract
A mapping is obtained relating analytical radial Coulomb systems in any dimension greater than one to analytical radial oscillators in any dimension. This mapping, involving supersymmetry-based quantum-defect theory, is possible for dimensions unavailable to conventional mappings. Among the special cases is an injection from bound states of the three-dimensional radial Coulomb system into a three-dimensional radial isotropic oscillator where one of the two systems has an analytical quantum defect. The issue of mapping the continuum states is briefly considered.
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"abstract": "A mapping is obtained relating analytical radial Coulomb systems in any\ndimension greater than one to analytical radial oscillators in any dimension.\nThis mapping, involving supersymmetry-based quantum-defect theory, is possible\nfor dimensions unavailable to conventional mappings. Among the special cases is\nan injection from bound states of the three-dimensional radial Coulomb system\ninto a three-dimensional radial isotropic oscillator where one of the two\nsystems has an analytical quantum defect. The issue of mapping the continuum\nstates is briefly considered.",
"arxiv_id": "quant-ph/9602007",
"authors": [
"Alan Kostelecky",
"Neil Russell"
],
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"quant-ph"
],
"doi": "10.1063/1.531504",
"journal_ref": "J.Math.Phys.37:2166-2181,1996",
"title": "Radial Coulomb and Oscillator Systems in Arbitrary Dimensions",
"url": "https://arxiv.org/abs/quant-ph/9602007"
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