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A Unified Treatment of Quasi-Exactly Solvable Potentials II: Eckart Type Potentials

Ramazan Koc·Mehmet Koca
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Abstract

This work continues to study the set of quasi exactly solvable potentials related to the Eckart, Hultén, Rosen-Morse, Coulomb and the harmonic oscillator potentials. We solve the Schrödinger equation for each potential and obtain the eigenvalues and eigenstates in terms of the orthogonal polynomials. We present a unified approach to obtain the potentials from each other by suitable change of variables.

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Ramazan Koc, Mehmet Koca. 2005-05-03. A Unified Treatment of Quasi-Exactly Solvable Potentials II: Eckart Type Potentials. https://arxiv.org/abs/math-ph/0505004

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