dorsal/arxiv
View SchemaAlgebraic treatment of the confluent Natanzon potentials
| Authors | M. T. Chefrour, L. Chetouani, L. Guechi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0201016 |
| URL | https://arxiv.org/abs/quant-ph/0201016 |
| DOI | 10.1209/epl/i2000-00362-7 |
| Journal | Europhys. Lett., 51(5), pp. 479-484 (2000) |
Abstract
Using the so(2,1) Lie algebra and the Baker, Campbell and Hausdorff formulas, the Green's function for the class of the confluent Natanzon potentials is constructed straightforwardly. The bound-state energy spectrum is then determined. Eventually, the three-dimensional harmonic potential, the three-dimensional Coulomb potential and the Morse potential may all be considered as particular cases.
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"abstract": "Using the so(2,1) Lie algebra and the Baker, Campbell and Hausdorff formulas,\nthe Green\u0027s function for the class of the confluent Natanzon potentials is\nconstructed straightforwardly. The bound-state energy spectrum is then\ndetermined. Eventually, the three-dimensional harmonic potential, the\nthree-dimensional Coulomb potential and the Morse potential may all be\nconsidered as particular cases.",
"arxiv_id": "quant-ph/0201016",
"authors": [
"M. T. Chefrour",
"L. Chetouani",
"L. Guechi"
],
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"quant-ph"
],
"doi": "10.1209/epl/i2000-00362-7",
"journal_ref": "Europhys. Lett., 51(5), pp. 479-484 (2000)",
"title": "Algebraic treatment of the confluent Natanzon potentials",
"url": "https://arxiv.org/abs/quant-ph/0201016"
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