Applying supersymmetry to energy dependent potentials

DOI10.1016/j.aop.2013.08.005zbMath1348.81250OpenAlexW2074475640MaRDI QIDQ336184

R. J. Lombard, R. Yekken, Monique Lassaut

Publication date: 10 November 2016

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aop.2013.08.005

zbMATH Keywords

supersymmetryenergy dependent potentials

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Supersymmetry and quantum mechanics (81Q60)

Related Items (8)

Pseudo-Hermitian and \(\mathcal{P}T\)-symmetric quantum systems with energy-dependent potentials: bound-state solutions and energy spectra ⋮ Electron propagator with vector and scalar energy-dependent potentials in (2+1)-dimensional space–time ⋮ Generalized Schrödinger equations with energy-dependent potentials: Formalism and applications ⋮ Bound states of the two-dimensional Dirac equation for an energy-dependent hyperbolic Scarf potential ⋮ The extension of the massless fermion behaviour in the cosmic string spacetime ⋮ Dirac equation with complex potentials ⋮ Quantum models with energy-dependent potentials solvable in terms of exceptional orthogonal polynomials ⋮ DKP Equation with Energy Dependent Potentials

Cites Work

• Darboux transformations for energy-dependent potentials and the Klein-Gordon equation
• The Darboux transformation of the Schrödinger equation with an energy-dependent potential
• Energy-dependent potentials and the problem of the equivalent local potential
• Schrödinger spectral problems with energy–dependent potentials as sources of nonlinear Hamiltonian evolution equations
• Modified Hamiltonian systems and canonical transformations arising from the relationship between generalized Zakharov–Shabat and energy-dependent Schrödinger operators
• New shape-invariant potentials in supersymmetric quantum mechanics

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