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




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Abstract: The four exactly-solvable models related to non-sinusoidal coordinates,namely, the Coulomb, Eckart, Rosen-Morse type I and II models are normallybeing treated separately, despite the similarity of the functional forms of thepotentials, their eigenvalues and eigenfunctions. Based on an extension of theprepotential approach to exactly and quasi-exactly solvable models proposedpreviously, we show how these models can be derived and solved in a simple andunified way.



Author: Choon-Lin Ho

Source: https://arxiv.org/







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