On the relation between polynomial deformations of sl(2,R) and quasi-exactly solvability
High Energy Physics - Theory
2008-11-26 v1
Abstract
A general method based on the polynomial deformations of the Lie algebra sl(2,R) is proposed in order to exhibit the quasi-exactly solvability of specific Hamiltonians implied by quantum physical models. This method using the finite-dimensional representations and differential realizations of such deformations is illustrated on the sextic oscillator as well as on the second harmonic generation.
Cite
@article{arxiv.hep-th/0005141,
title = {On the relation between polynomial deformations of sl(2,R) and quasi-exactly solvability},
author = {N. Debergh},
journal= {arXiv preprint arXiv:hep-th/0005141},
year = {2008}
}
Comments
20 pages, LateX