Hidden nonlinear supersymmetry of finite-gap Lame equation
Francisco Correa, Luis-Miguel Nieto, Mikhail S. Plyushchay
TL;DR
This paper uncovers a hidden nonlinear supersymmetry in the finite-gap Lame equation, explaining unique properties of periodic quantum systems across various physical models.
Contribution
It introduces a bosonized nonlinear supersymmetry as a hidden symmetry in the finite-gap Lame equation, linking it to diverse physical phenomena.
Findings
Revealed a hidden nonlinear supersymmetry in the Lame equation
Explained peculiar properties of periodic quantum systems
Connected symmetry to models in field theory, wave physics, cosmology, and condensed matter
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.
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