Hidden nonlinear supersymmetry of finite-gap Lamé equation

DOI10.1016/j.physletb.2006.11.020zbMath1248.81062arXivhep-th/0608096OpenAlexW1992069970MaRDI QIDQ712917

Luis-Miguel Nieto, Mikhail S. Plyushchay, Francisco Julio Sobreira de Araujo Correa

Publication date: 18 October 2012

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0608096

zbMATH Keywords

bosonized nonlinear supersymmetry

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Supersymmetry and quantum mechanics (81Q60)

Related Items

Higher spin symmetries of the free Schrödinger equation ⋮ Hidden supersymmetry in quantum bosonic systems ⋮ Schwarzian derivative treatment of the quantum second-order supersymmetry anomaly, and coupling-constant metamorphosis ⋮ Bosonized supersymmetry of anyons and supersymmetric exotic particle on the non-commutative plane ⋮ Hidden nonlinear \(\mathrm{su}(2| 2)\) superunitary symmetry of \(N=2\) superextended 1D Dirac delta potential problem ⋮ Fractional supersymmetric quantum mechanics and lacunary Hermite polynomials ⋮ Nonlinear symmetries of perfectly invisible \textit{PT}-regularized conformal and superconformal mechanics systems ⋮ A class of partially solvable two-dimensional quantum models with periodic potentials ⋮ Trends in Supersymmetric Quantum Mechanics ⋮ Nonlinear Supersymmetry as a Hidden Symmetry ⋮ Self-Isospectrality, Special Supersymmetry, and their Effect on the Band Structure ⋮ The Bogoliubov-de Gennes system, the AKNS hierarchy, and nonlinear quantum mechanical supersymmetry

Cites Work

• Dynamical breaking of supersymmetry
• On hidden broken nonlinear superconformal symmetry of conformal mechanics and nature of double nonlinear superconformal symmetry
• Second-order supersymmetric periodic potentials
• Reliable computation of eigenvalues of the magnetostatic integral operator
• On Lamé's equation of a particular kind
• Occurrence of periodic Lamé functions at bifurcations in chaotic Hamiltonian systems
• Lame equation, sl(2) algebra and isospectral deformations
• Symmetric monopoles and finite-gap Lamé potentials
• A new algebraization of the Laméequation
• Group theoretical properties and band structure of the Lamé Hamiltonian
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Hidden nonlinear supersymmetry of finite-gap Lamé equation