dorsal/arxiv
View SchemaPath integral treatment of a family of super-integrable systems in n-dimensional Euclidean space
| Authors | M. T. Chefrour, F. Benamira, L. Guechi, S. Mameri |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0303044 |
| URL | https://arxiv.org/abs/quant-ph/0303044 |
| Journal | Chin. J. Phys., Vol. 41, N 6 (2003) 582-594 |
Abstract
The exact path integration for a family of maximally super-integrable systems generalizing the hydrogen atom in the $n$-dimensional Euclidean space is presented. The Green's function is calculated in parabolic rotational and spherical coordinate systems. The energy spectrum and the correctly normalized wave functions of the bound states are obtained from the poles of the Green's function and their residues, respectively.
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"abstract": "The exact path integration for a family of maximally super-integrable systems\ngeneralizing the hydrogen atom in the $n$-dimensional Euclidean space is\npresented. The Green\u0027s function is calculated in parabolic rotational and\nspherical coordinate systems. The energy spectrum and the correctly normalized\nwave functions of the bound states are obtained from the poles of the Green\u0027s\nfunction and their residues, respectively.",
"arxiv_id": "quant-ph/0303044",
"authors": [
"M. T. Chefrour",
"F. Benamira",
"L. Guechi",
"S. Mameri"
],
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"quant-ph"
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"journal_ref": "Chin. J. Phys., Vol. 41, N 6 (2003) 582-594",
"title": "Path integral treatment of a family of super-integrable systems in n-dimensional Euclidean space",
"url": "https://arxiv.org/abs/quant-ph/0303044"
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