Physics – Quantum Physics
Scientific paper
2008-09-30
Physics
Quantum Physics
15 pages, no figures
Scientific paper
10.1016/j.aop.2008.10.004
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.
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