1997/02/02 by Avinash Khare, Khare, Avinash, M. Sivakumar +1
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/9702012
Paper withdrawn
arxiv created 1997/02/15 · arxiv updated 2009/11/30
We consider the supersymmetric Calogero-Sutherland type N-particle problems in one dimension and show that the corresponding fermionic part can be identified with the generalized X-Y models in the presence of an inhomogeneous magnetic field. In particular we show that the generalized Haldane-Shastry models (with magnetic field) are themselves the fermionic partners of the Calogero-Sutherland type models. Several such models are discussed and a recipe is given for constructing spin models and finding their ground state energy from the corresponding N-particle problems.