A new exactly solvable quantum model in \(N\) dimensions

DOI10.1016/j.physleta.2011.02.034zbMath1242.81084arXiv1007.1335OpenAlexW2031146574MaRDI QIDQ432923

Ángel Ballesteros, Francisco J. Herranz, Orlando Ragnisco, Danilo Riglioni, Alberto Enciso

Publication date: 4 July 2012

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

Full work available at URL: https://arxiv.org/abs/1007.1335

zbMATH Keywords

curvaturedeformationhyperbolicnonlinear oscillatorposition-dependent masssuperintegrability

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Quantizations, deformations for selfadjoint operator algebras (46L65) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) Special quantum systems, such as solvable systems (81Q80)

Related Items

Global versus local superintegrability of nonlinear oscillators ⋮ On Hamiltonians with position-dependent mass from Kaluza-Klein compactifications ⋮ The Perlick system type I: from the algebra of symmetries to the geometry of the trajectories ⋮ Dynamical algebras of general two-parametric Pöschl-Teller Hamiltonians ⋮ Shannon information entropy for a quantum nonlinear oscillator on a space of non-constant curvature ⋮ On two superintegrable nonlinear oscillators in \(N\) dimensions ⋮ Factorization Method and the Position-dependent Mass Problem ⋮ An exactly solvable deformation of the Coulomb problem associated with the Taub-NUT metric ⋮ Quantum mechanics on spaces of nonconstant curvature: the oscillator problem and superintegrability ⋮ On the nonlocal symmetries of certain nonlinear oscillators and their general solution ⋮ Symmetries and integrals of motion of a superintegrable deformed oscillator ⋮ Jacobi multipliers, non-local symmetries, and nonlinear oscillators

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