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

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Title:	Simple unified derivation and solution of Coulomb, Eckart and Rosen-Morse potentials in prepotential approach
Authors:	Ho, Choon-Lin
Contributors:	淡江大學物理學系
Keywords:	Prepotential;Exact solvability;Quasi-exact solvability;Bethe ansatz equations
Date:	2009-05-01
Issue Date:	2013-07-18 10:41:29 (UTC+8)
Publisher:	Maryland Heights: Academic Press
Abstract:	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.
Relation:	Annals of Physics 324(5), pp.1095–1104
DOI:	10.1016/j.aop.2008.10.004
Appears in Collections:	[Graduate Institute & Department of Physics] Journal Article

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