Integrable N-particle Hamiltonians with Yangian or Reflection Algebra Symmetry

Details Integrable N-particle Hamiltonians with Yangian or Reflection Algebra Symmetry Integrable N-particle Hamiltonians with Yangian or Reflection Algebra Symmetry

2003-10-16

arxiv.org/abs/math-ph/0310028v2

J.Phys.A37:6285-6298,2004

Physics

Mathematical Physics

17 pages. Some typos corrected, references added and proofs clarified

Scientific paper

10.1088/0305-4470/37/24/007

We 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.

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