On completeness of Bethe Ansatz solutions for sl(2) Richardson–Gaudin systems

Jon Links ()
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Jon Links: The University of Queensland, School of Mathematics and Physics

A chapter in Physical and Mathematical Aspects of Symmetries, 2017, pp 239-244 from Springer

Abstract: Abstract The Bethe Ansatz solution for the class of rational, sl(2) Richardson– Gaudin systems is presented. Completeness of this solution is discussed for the case where all operators are realised in terms of the spin-1/2 representation. This discussion is based on a set of operator identities. Next, a generalised system with broken u(1)-symmetry is introduced, which admits an analogous set of operator identities. Analysis of this generalised system shows that the Bethe Ansatz solution for it is also complete. The prospects for extending this approach to higher spin systems are mentioned.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-69164-0_36

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DOI: 10.1007/978-3-319-69164-0_36

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