Algebraic treatment of the confluent Natanzon potentials

Details Algebraic treatment of the confluent Natanzon potentials Algebraic treatment of the confluent Natanzon potentials

2002-01-05

arxiv.org/abs/quant-ph/0201016v1

Europhys. Lett., 51(5), pp. 479-484 (2000)

Physics

Quantum Physics

9 pages

Scientific paper

10.1209/epl/i2000-00362-7

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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