Non-commutative oscillator with Kepler-type dynamical symmetry

DOI10.1016/j.physleta.2010.08.054zbMath1238.81147arXiv1006.1861OpenAlexW1987041217MaRDI QIDQ418515

J.-P. Ngome, Peter A. Horvathy, Peng-Ming Zhang

Publication date: 29 May 2012

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

Full work available at URL: https://arxiv.org/abs/1006.1861

Mathematics Subject Classification ID

Hamilton's equations (70H05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Noncommutative geometry in quantum theory (81R60) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

Related Items (8)

Entropy and information of a harmonic oscillator in a time-varying electric field in 2D and 3D noncommutative spaces ⋮ THREE-DIMENSIONAL KLEIN–GORDON OSCILLATOR IN A BACKGROUND MAGNETIC FIELD IN NONCOMMUTATIVE PHASE SPACE ⋮ Eigenvalue problem for radial potentials in space with SU(2) fuzziness ⋮ Dynamics of a noncommutative monopole ⋮ MICZ-Kepler systems in noncommutative space and duality of force laws ⋮ Central force problem in space with \(\mathrm{SU}(2)\) Poisson structure ⋮ Generalized five-dimensional Kepler system, Yang-Coulomb monopole, and Hurwitz transformation ⋮ Closedness of orbits in a space with SU(2) Poisson structure

Cites Work

• Exotic galilean symmetry and non-commutative mechanics
• The noncommutative Landau problem
• Geometric quantization of a perturbed Kepler problem
• Noncommutative planar particle dynamics with gauge interactions
• The Kepler problem. Group theoretical aspects, regularization and quantization, with application to the study of perturbations (incl. CD-ROM)
• ANYONS AS SPINNING PARTICLES
• Berry phase effects on electronic properties
• Dynamical supersymmetry of the spin particle–magnetic field interaction
• The Kepler Problem and Noncommutativity
• Phase structure of non-commutative scalar field theories

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