Nested Bethe Ansatz and Finite Dimensional Canonical Commutation Relations

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dc.creatorKasman, Alex
dc.date2000-04-24
dc.date.accessioned2026-07-07T04:27:47Z
dc.date.available2026-07-07T04:27:47Z
dc.descriptionRecent interest in discrete, classical integrable systems has focused on their connection to quantum integrable systems via the Bethe equations. In this note, solutions to the rational nested Bethe ansatz (RNBA) equations are constructed using the ``completed Calogero-Moser phase space'' of matrices which satisfy a finite dimensional analogue of the canonical commutation relationship. A key feature is the fact that the RNBA equations are derived only from this commutation relationship and some elementary linear algebra. The solutions constructed in this way inherit continuous and discrete symmetries from the CM phase space.
dc.descriptionto appear in "Regular and Chaotic Dynamics"
dc.identifierhttps://arxiv.org/abs/math-ph/0004030
dc.identifierhttp://arxiv.org/abs/math-ph/0004030
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56547
dc.subjectMathematical Physics
dc.subjectDynamical Systems
dc.subjectQuantum Algebra
dc.subjectRings and Algebras
dc.titleNested Bethe Ansatz and Finite Dimensional Canonical Commutation Relations
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