Exactly Solvable Potentials and Romanovski Polynomials in Quantum Mechanics
Mathematical Physics
2009-12-08 v2 math.MP
Quantum Physics
Abstract
Orthogonal Polynomials in Quantum Mechanics. Exact solutions of the Schrodinger equation with the hyperbolic Scarf potential (Scarf II) in terms of Romanovski polynomials. Among the applications included is the solution of the problem of an electron within a particular potential leading to the definition of new non-spherical angular functions.
Keywords
Cite
@article{arxiv.0808.1642,
title = {Exactly Solvable Potentials and Romanovski Polynomials in Quantum Mechanics},
author = {D. E. Alvarez-Castillo},
journal= {arXiv preprint arXiv:0808.1642},
year = {2009}
}
Comments
72 pages, 45 figures, Master Thesis, March 2007. v2) Typos corrected