2000/09/20 by MIKHAIL PLYUSHCHAY · 3 citations
Physics and Astronomy · Mathematics · #Quantum Mechanics and Non-Hermitian Physics #Nonlinear Waves and Solitons #Algebraic structures and combinatorial models
paper · doi:10.1142/s0217751x00001981
The existence of intimate relations between generalized statistics and supersymmetry is established by the observation of hidden supersymmetric structure in pure parabosonic systems. This structure is characterized generally by a nonlinear superalgebra. The nonlinear supersymmetry of parabosonic systems may be realized, in turn, by modifying appropriately the usual supersymmetric quantum mechanics. The relation of nonlinear parabosonic supersymmetry to the Calogero-like models with exchange interaction and to the spin chain models with inverse-square interaction is pointed out.