A Unified Treatment of Quasi-Exactly Solvable Potentials II: Eckart Type Potentials
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.math-ph/0505004,
title = {A Unified Treatment of Quasi-Exactly Solvable Potentials II: Eckart Type Potentials},
author = {Ramazan Koc and Mehmet Koca},
journal= {arXiv preprint arXiv:math-ph/0505004},
year = {2007}
}