Spectrum generating algebras for position-dependent mass oscillator Schrödinger equations
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Publication:5426235
DOI10.1088/1751-8113/40/43/018zbMath1127.81008arXiv0705.0862OpenAlexW3103685977MaRDI QIDQ5426235
Publication date: 12 November 2007
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0705.0862
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Operator algebra methods applied to problems in quantum theory (81R15)
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Generalized quadratic commutator algebras of PBW-type ⋮ A quantum quasi-harmonic nonlinear oscillator with an isotonic term ⋮ Quantization of Hamiltonian systems with a position dependent mass: Killing vector fields and Noether momenta approach ⋮ Superintegrable systems on 3-dimensional curved spaces: Eisenhart formalism and separability ⋮ Poisson–Hopf algebra deformations of Lie–Hamilton systems ⋮ A generalized non-Hermitian oscillator Hamiltonian, \(\mathcal N\)-fold supersymmetry and position-dependent mass models ⋮ Oscillator-Morse–Coulomb mappings and algebras for constant or position-dependent mass ⋮ Exact solution of the position-dependent effective mass and angular frequency Schrödinger equation: harmonic oscillator model with quantized confinement parameter
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