Lattice Integrable Systems of Haldane-Shastry Type

Details Lattice Integrable Systems of Haldane-Shastry Type Lattice Integrable Systems of Haldane-Shastry Type

1992-10-20

arxiv.org/abs/hep-th/9210109v1

Phys.Rev.Lett. 70 (1993) 2329-2331

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, NTUA 34/92

Scientific paper

10.1103/PhysRevLett.70.2329

We present a new lattice integrable system in one dimension of the Haldane-Shastry type. It consists of spins positioned at the static equilibrium positions of particles in a corresponding classical Calogero system and interacting through an exchange term with strength inversely proportional to the square of their distance. We achieve this by viewing the Haldane-Shastry system as a high-interaction limit of the Sutherland system of particles with internal degrees of freedom and identifying the same limit in a corresponding Calogero system. The commuting integrals of motion of this system are found using the exchange operator formalism.

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