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Physics  2002 

Algebraic treatment of the confluent Natanzon potentials

DOI: 10.1209/epl/i2000-00362-7

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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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