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The Lie algebraic structure of extended Sutherland models

Kazuyuki Oshima
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Abstract

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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Kazuyuki Oshima. 2006-01-07. The Lie algebraic structure of extended Sutherland models. https://arxiv.org/abs/nlin/0411042

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