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

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

2005-05-03

arxiv.org/abs/math-ph/0505004v1

Unpublished (2002)

Physics

Mathematical Physics

Scientific paper

This work continues to study the set of quasi exactly solvable potentials related to the Eckart, Hult\'{e}n, Rosen-Morse, Coulomb and the harmonic oscillator potentials. We solve the Schr\"{o}dinger 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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