Elementary systems with partial finite ladder spectra

DOI10.1016/j.physleta.2004.02.072zbMath1123.81357OpenAlexW2099457819MaRDI QIDQ2462793

Javier Negro, David J. C. Fernández, Luis-Miguel Nieto

Publication date: 4 December 2007

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2004.02.072

zbMATH Keywords

finite ladder spectrahigher-order supersymmetry

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Supersymmetry and quantum mechanics (81Q60)

Related Items (7)

Complex oscillator and Painlevé IV equation ⋮ An affine Weyl group characterization of polynomial Heisenberg algebras ⋮ Solution Hierarchies for the Painlevé IV Equation ⋮ Exact solutions and ladder operators for a new anharmonic oscillator ⋮ Non-Hermitian Hamiltonians and the Painlevé IV equation with real parameters ⋮ Trends in Supersymmetric Quantum Mechanics ⋮ Classical ladder operators, polynomial Poisson algebras, and classification of superintegrable systems

Cites Work

• The finite difference algorithm for higher order supersymmetry
• Conditionally exactly solvable potentials: A supersymmetric construction method
• Dressing chains and the spectral theory of the Schrödinger operator
• Systems with higher-order shape invariance: spectral and algebraic properties
• New isospectral oscillator potentials.
• A simple generation of exactly solvable anharmonic oscillators
• Lie theory and special functions
• Factorization method and new potentials with the oscillator spectrum
• Exactly solvable hydrogen-like potentials and the factorization method
• Refined factorizations of solvable potentials
• Equidistant spectra of anharmonic oscillators
• Three-dimensional quadratic algebras: some realizations and representations
• Distorted Heisenberg algebra and coherent states for isospectral oscillator Hamiltonians
• Coherent states for isospectral oscillator Hamiltonians
• Bäcklund Transformations and Solution Hierarchies for the Fourth Painlevé Equation
• Quantum algebraic structures compatible with the harmonic oscillator Newton equation
• Higher-order SUSY, linearized nonlinear Heisenberg algebras and coherent states

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