A unified treatment of exactly solvable and quasi-exactly solvable quantum potentials
Mathematical Physics
2009-11-10 v1 High Energy Physics - Theory
math.MP
Quantum Physics
Abstract
By exploiting the hidden algebraic structure of the Schrodinger Hamiltonian, namely the sl(2), we propose a unified approach of generating both exactly solvable and quasi-exactly solvable quantum potentials. We obtain, in this way, two new classes of quasi-exactly solvable systems one of which is of periodic type while the other hyperbolic.
Keywords
Cite
@article{arxiv.math-ph/0302040,
title = {A unified treatment of exactly solvable and quasi-exactly solvable quantum potentials},
author = {B. Bagchi and A. Ganguly},
journal= {arXiv preprint arXiv:math-ph/0302040},
year = {2009}
}
Comments
LaTeX2e, 8 pages, To appear in J. Phys. A:Mathematical and general(letters)