The generalized quantum isotonic oscillator
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Publication:3560310
DOI10.1088/1751-8113/43/18/185303zbMath1188.81072arXiv1005.1227OpenAlexW3103611696MaRDI QIDQ3560310
Publication date: 19 May 2010
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1005.1227
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Exactly and quasi-solvable systems arising in quantum theory (81U15) Special quantum systems, such as solvable systems (81Q80)
Related Items (10)
A Bochner type characterization theorem for exceptional orthogonal polynomials ⋮ ABC of ladder operators for rationally extended quantum harmonic oscillator systems ⋮ Bethe ansatz solutions and hidden \(sl(2)\) algebraic structure for a class of quasi-exactly solvable systems ⋮ Study of the generalized quantum isotonic nonlinear oscillator potential ⋮ Algebraic calculations for spectrum of superintegrable system from exceptional orthogonal polynomials ⋮ Exact solutions of the harmonic oscillator plus non-polynomial interaction ⋮ Solvable potentials with exceptional orthogonal polynomials ⋮ Unified derivation of exact solutions for a class of quasi-exactly solvable models ⋮ Quasi-exact treatment of the relativistic generalized isotonic oscillator ⋮ An observation of quadratic algebra, dual family of nonlinear coherent states and their non-classical properties, in the generalized isotonic oscillator
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