Dynamical algebras for Pöschl-Teller Hamiltonian hierarchies

DOI10.1016/j.aop.2009.08.004zbMath1179.81086OpenAlexW2071503850MaRDI QIDQ1047694

J. Blot

Publication date: 5 January 2010

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

Full work available at URL: https://doi.org/10.1016/j.aop.2009.08.004

zbMATH Keywords

Pöschl-Teller potentialsdynamical algebrasspectrum generating algebrasSUSY QM

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Supersymmetry and quantum mechanics (81Q60) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items

Resonances and antibound states for the Pöschl-Teller potential: ladder operators and SUSY partners ⋮ A representation of the Dunkl oscillator model on curved spaces: Factorization approach ⋮ Action-angle variables, ladder operators and coherent states ⋮ Superintegrability on the Dunkl oscillator model in three-dimensional spaces of constant curvature ⋮ Classical spectrum generating algebra of the Kepler-Coulomb system and action-angle variables ⋮ Classical ladder functions for Rosen-Morse and curved Kepler-Coulomb systems ⋮ Dynamical algebras of general two-parametric Pöschl-Teller Hamiltonians ⋮ Closed expressions for matrix elements of the trigonometric Pöschl-Teller potential ⋮ The anisotropic oscillator on curved spaces: a exactly solvable model ⋮ Spectrum generating algebras for the free motion in S3 ⋮ Ladder operators and coherent states for the Rosen–Morse system and its rational extensions

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