Simple unified derivation and solution of Coulomb, Eckart and Rosen-Morse potentials in prepotential approach

Journal Article · Fri May 15 04:00:00 EDT 2009 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2008.10.004· OSTI ID:21308050

Ho, Choon-Lin ^[1]

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1. Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502 (Japan)

The four exactly solvable models related to non-sinusoidal coordinates, namely, the Coulomb, Eckart, Rosen-Morse type I and II models are normally being treated separately, despite the similarity of the functional forms of the potentials, their eigenvalues and eigenfunctions. Based on an extension of the prepotential approach to exactly and quasi-exactly solvable models proposed previously, we show how these models can be derived and solved in a simple and unified way.

• OSTI ID: 21308050
• Journal Information: Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: 5 Vol. 324; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICS AND COMPUTING
COORDINATES
EIGENFUNCTIONS
EIGENVALUES
EQUATIONS
EXACT SOLUTIONS
MORSE POTENTIAL