Exactly-Solvable Models Derived from a Generalized Gaudin Algebra

Details Exactly-Solvable Models Derived from a Generalized Gaudin Algebra Exactly-Solvable Models Derived from a Generalized Gaudin Algebra

2004-07-16

arxiv.org/abs/cond-mat/0407429v1

Nucl.Phys. B707 (2005) 421-457

Physics

Condensed Matter

Superconductivity

Scientific paper

10.1016/j.nuclphysb.2004.11.008

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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