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Titlebook: Calogero—Moser— Sutherland Models; Jan Felipe Diejen,Luc Vinet Book 2000 Springer Science+Business Media New York 2000 Potential.chaos.dif

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Linda M. Bartoshuk,Derek J. SnyderThe different Kondo models (single or multichanneled), ID quantum wires, dissipative quantum mechanics, the quantum Hall effect subject to point-contact, and quantum optics are among the physical realizations of this type of problem.
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,Classical Dynamical ,-Matrices for Calogero—Moser Systems and Their Generalizations,ase of constant classical .-matrices thanks to Belavin and Drinfeld [17]. A partial classification scheme has very recently been proposed [53] for dynamical .-matrices obeying the particular version of the dynamical Yang—Baxter equation [16, 28] corresponding to Calogero—Moser models [9].
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,Classical and Quantum Partition Functions of the Calogero—Moser—Sutherland Model, the differential equation (18) is new. For the quantum case the differential equation (34) is shown to be equivalent with Yang—Yang’s type of solution obtained by Sutherland. This equivalence provides an explanation for the local character, in momentum space, of our differential equation.
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,Heisenberg—Ising Spin Chain: Plancherel Decomposition and Chebyshev Polynomials, and give an explicit Plancherel decomposition of ..(Δ) for all N and Δ. We observe a critical spectral phenomenon in the anisotropy regime |Δ | < 1. The critical values of the anisotropy parameter are zeros of Chebyshev polynomials.
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