Relation of The New Calogero Models and xxz Spin Chains

Details Relation of The New Calogero Models and xxz Spin Chains Relation of The New Calogero Models and xxz Spin Chains

1996-03-07

arxiv.org/abs/hep-th/9603039v1

Physics

High Energy Physics

High Energy Physics - Theory

15 pages , Latex , No Figures

Scientific paper

We extend our previous analysis of the classical integrable models of Calogero in several respects. Firstly we provide the algebraic resaons of their quantum integrability.Secondly we show why these systems allow their initial value problem to be solved in closed form . Furthermore we show that due to their similarity with the above models the classical and quantum Heisenberg magnets with long rang interactions in a magnetic field are also intergrable. Explicit expressions are given for the integrals of motion in involution in the classical case and for the commuting operators in the quantum case.

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