Algebraic treatment of the confluent Natanzon potentials
نویسنده
چکیده
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. PACS 03.65-Quantum theory ; quantum mechanics. PACS 03.65.Fd -Algebraic methods. PACS 02.20.+b -Group theory. typescript using Latex (version 2.0).
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تاریخ انتشار 2008