Quasi-Exactly Solvable Models Derived from the Quasi-Gaudin Algebra
Exactly Solvable and Integrable Systems
2015-05-30 v1 Statistical Mechanics
High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
The quasi-Gaudin algebra was introduced to construct integrable systems which are only quasi-exactly solvable. Using a suitable representation of the quasi-Gaudin algebra, we obtain a class of bosonic models which exhibit this curious property. These models have the notable feature that they do not preserve U(1) symmetry, which is typically associated to a non-conservation of particle number. An exact solution for the eigenvalues within the quasi-exactly solvable sector is obtained via the algebraic Bethe ansatz formalism.
Keywords
Cite
@article{arxiv.1108.4507,
title = {Quasi-Exactly Solvable Models Derived from the Quasi-Gaudin Algebra},
author = {Yuan-Harng Lee and Jon Links and Yao-Zhong Zhang},
journal= {arXiv preprint arXiv:1108.4507},
year = {2015}
}
Comments
9 pages, no figures