Exactly-Solvable Models Derived from a Generalized Gaudin Algebra
Superconductivity
2009-11-10 v1 Strongly Correlated Electrons
High Energy Physics - Theory
Exactly Solvable and Integrable Systems
Nuclear Theory
Abstract
We introduce a generalized Gaudin Lie algebra and a complete set of mutually commuting quantum invariants allowing the derivation of several families of exactly solvable Hamiltonians. Different Hamiltonians correspond to different representations of the generators of the algebra. The derived exactly-solvable generalized Gaudin models include the Bardeen-Cooper-Schrieffer, Suhl-Matthias-Walker, the Lipkin-Meshkov-Glick, generalized Dicke, the Nuclear Interacting Boson Model, a new exactly-solvable Kondo-like impurity model, and many more that have not been exploited in the physics literature yet.
Keywords
Cite
@article{arxiv.cond-mat/0407429,
title = {Exactly-Solvable Models Derived from a Generalized Gaudin Algebra},
author = {G. Ortiz and R. Somma and J. Dukelsky and S. Rombouts},
journal= {arXiv preprint arXiv:cond-mat/0407429},
year = {2009}
}