Exactly-Solvable Models Derived from a Generalized Gaudin Algebra
超导电性
2009-11-10 v1 强关联电子
高能物理 - 理论
可精确求解与可积系统
核理论
摘要
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.
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引用
@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}
}