Hidden nonlinear supersymmetry of finite-gap Lamé equation

2006/08/31 by Francisco Correa, L. M. Nieto, Luis-Miguel Nieto +1 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #hep-th #math-ph #math.MP #nlin.SI #quant-ph

paper · pdf · doi:10.1016/j.physletb.2006.11.020

published as Phys.Lett. B644 (2007) 94-98 · 5 pages; refs and comments added, journal version

openalex publication_date 2006/11/28 · arxiv created 2006/12/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A bosonized nonlinear (polynomial) supersymmetry is revealed as a hidden symmetry of the finite-gap Lame 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.

Citations

• Stability analysis of static solutions in a Josephson junction
• Droplet Nucleation and Domain Wall Motion in a Bounded Interval

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• Hidden supersymmetry in quantum bosonic systems
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