|
| related topics |
| {equation, function, exp} |
| {group, space, representation} |
| {cos, sin, state} |
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Algebraic treatment of the confluent Natanzon potentials
M. T. Chefrour, L. Chetouani, L. Guechi
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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0201016
- categories:
- quant-ph
- comments:
- 9 pages
- doi:
- 10.1209/epl/i2000-00362-7
- arxiv_id:
- quant-ph/0201016
- journal_ref:
- Europhys. Lett., 51(5), pp. 479-484 (2000)
- created:
- 2002-01-05
Full article ▸
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