New Algebraic Quantum Many-body Problems
Exactly Solvable and Integrable Systems
2008-11-26 v1 High Energy Physics - Theory
Abstract
We develop a systematic procedure for constructing quantum many-body problems whose spectrum can be partially or totally computed by purely algebraic means. The exactly-solvable models include rational and hyperbolic potentials related to root systems, in some cases with an additional external field. The quasi-exactly solvable models can be considered as deformations of the previous ones which share their algebraic character.
Cite
@article{arxiv.nlin/0003005,
title = {New Algebraic Quantum Many-body Problems},
author = {D. Gomez-Ullate and A. Gonzalez-Lopez and M. A. Rodriguez},
journal= {arXiv preprint arXiv:nlin/0003005},
year = {2008}
}
Comments
LaTeX 2e with amstex package, 36 pages