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Hidden nonlinear supersymmetry of finite-gap Lamé equation
Authors:Francisco Correa  Luis-Miguel Nieto  Mikhail S. Plyushchay
Affiliation:1. Departamento de Física, Universidad de Santiago de Chile, Casilla 307, Santiago 2, Chile;2. Departamento de Física Teórica, Atómica y Óptica, Universidad de Valladolid, 47071 Valladolid, Spain
Abstract:A bosonized nonlinear (polynomial) supersymmetry is revealed as a hidden symmetry of the finite-gap Lamé equation. This gives a natural explanation for peculiar properties of the periodic quantum system underlying diverse models and mechanisms in field theory, nonlinear wave physics, cosmology and condensed matter physics.
Keywords:11.30.Pb   11.30.Na   03.65.Fd
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