A Family of Quasi-solvable Quantum Many-body Systems
High Energy Physics - Theory
2014-11-18 v2 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Quantum Physics
Abstract
We construct a family of quasi-solvable quantum many-body systems by an algebraic method. The models contain up to two-body interactions and have permutation symmetry. We classify these models under the consideration of invariance property. It turns out that this family includes the rational, hyperbolic (trigonometric) and elliptic Inozemtsev models as the particular cases.
Keywords
Cite
@article{arxiv.hep-th/0202101,
title = {A Family of Quasi-solvable Quantum Many-body Systems},
author = {Toshiaki Tanaka},
journal= {arXiv preprint arXiv:hep-th/0202101},
year = {2014}
}
Comments
9 pages, REVTeX4, final version