Integrable N-particle Hamiltonians with Yangian or Reflection Algebra Symmetry

Simple item page
dc.creatorCaudrelier, V.
dc.creatorCrampe, N.
dc.date2003-10-16
dc.date2004-06-08
dc.date.accessioned2026-07-07T10:50:37Z
dc.date.available2026-07-07T10:50:37Z
dc.descriptionWe use the Dunkl operator approach to construct one dimensional integrable models describing N particles with internal degrees of freedom. These models are described by a general Hamiltonian belonging to the center of the Yangian or the reflection algebra, which ensures that they admit the corresponding symmetry. In particular, the open problem of the symmetry is answered for the B_N-type Sutherland model with spin and a generalized B_N-type nonlinear Schrodinger Hamiltonian.
dc.description17 pages. Some typos corrected, references added and proofs clarified
dc.identifierhttps://arxiv.org/abs/math-ph/0310028
dc.identifierhttp://arxiv.org/abs/math-ph/0310028
dc.identifierJ.Phys.A37:6285-6298,2004
dc.identifierdoi:10.1088/0305-4470/37/24/007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184593
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.subject70H06, 81R12, 81R50
dc.titleIntegrable N-particle Hamiltonians with Yangian or Reflection Algebra Symmetry
dc.typetext

Files

Collections

arXiv