A Universal Construction of Calogero-Moser System with Two Types Spins Interaction |
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| Authors: | Jia-Liang Dai |
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| Affiliation: | Department of Physics, Zhejiang University, Hangzhou 310027, China |
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| Abstract: | We present universal construction for the Calogero-Moser system with two types spins interaction of trigonometric potential based on the root system of semi-simple Lie algebra. In this formalism, we successfully build up the correct Lax pair as well as the R-matrix for this generalized Calogero-Moser models. Moreover using the property of root system, we make a concise explanation that in the quantized model, the R-matrix takes the same form as the classical one, which is the main new result of this paper. |
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| Keywords: | root system spin Calogero-Moser system Lax pair $R$-matrix quantized model |
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