Simple unified derivation and solution of Coulomb, Eckart and Rosen-Morse potentials in prepotential approach
arXiv:0809.5253 · doi:10.1016/j.aop.2008.10.004
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.
arXiv comment15 pages, no figures
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Cited by in corpus (5)
- Prepotential approach to solvable rational extensions of Harmonic Oscillator and Morse potentials
- Unified theory of exactly and quasi-exactly solvable `Discrete' quantum mechanics: I. Formalism
- New solutions of the D-dimensional Klein-Gordon equation via mapping onto the nonrelativistic one-dimensional Morse potential
- Shape invariance in prepotential approach to exactly solvable models
- Prepotential approach to quasinormal modes