The Lie algebraic structure of extended Sutherland models

Details The Lie algebraic structure of extended Sutherland models The Lie algebraic structure of extended Sutherland models

2004-11-18

arxiv.org/abs/nlin/0411042v4

Nonlinear Sciences

Exactly Solvable and Integrable Systems

9 pages, added note and reference, corrected typos

Scientific paper

We disclose the Lie algebraic structure of two extended Sutherland models.
Their Hamiltonians are BC_N, and A_N Sutherland Hamiltonians with some
additional terms. We show that both Hamiltonians can be written in the
quadratic forms of generators of the Lie algebra gl(N+1).

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