The anisotropic oscillator on curved spaces: a exactly solvable model
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Publication:1700953
DOI10.1016/j.aop.2016.07.006zbMath1380.37115arXiv1605.02384OpenAlexW2360186296MaRDI QIDQ1700953
Ángel Ballesteros, Francisco J. Herranz, Javier Negro, Şengül Kuru
Publication date: 22 February 2018
Published in: Annals of Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1605.02384
Hamilton's equations (70H05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Special quantum systems, such as solvable systems (81Q80)
Related Items (14)
A representation of the Dunkl oscillator model on curved spaces: Factorization approach ⋮ Born-Jordan and Weyl quantizations of the 2D anisotropic harmonic oscillator ⋮ Higher-order superintegrable momentum-dependent Hamiltonians on curved spaces from the classical Zernike system ⋮ Superintegrability on the Dunkl oscillator model in three-dimensional spaces of constant curvature ⋮ Superintegrability of the Fock-Darwin system ⋮ The Perlick system type I: from the algebra of symmetries to the geometry of the trajectories ⋮ Extended Hamiltonians and shift, ladder functions and operators ⋮ Classical ladder functions for Rosen-Morse and curved Kepler-Coulomb systems ⋮ On certain integrable and superintegrable weight-homogeneous Hamiltonian systems ⋮ Classical multiseparable Hamiltonian systems, superintegrability and Haantjes geometry ⋮ Curvature as an Integrable Deformation ⋮ Higher Order Quantum Superintegrability: A New “Painlevé Conjecture” ⋮ Superintegrability of three-dimensional Hamiltonian systems with conformally Euclidean metrics. Oscillator-related and Kepler-related systems ⋮ Superintegrability on the three-dimensional spaces with curvature. Oscillator-related and Kepler-related systems on the sphere S 3 and on the hyperbolic space H 3
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