On the SO(10, 2) dynamical symmetry group of the MICZ-Kepler problem in a nine-dimensional space

DOI10.1063/1.3606515zbMath1317.81108OpenAlexW2090475536MaRDI QIDQ5266070

Le Van Hoang, Thanh-Tu Phan, Cat-Tuong Truong

Publication date: 29 July 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3606515

Mathematics Subject Classification ID

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) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (5)

Algebraic structure underlying spherical, parabolic, and prolate spheroidal bases of the nine-dimensional MICZ–Kepler problem ⋮ Variables separation and superintegrability of the nine-dimensional MICZ-Kepler problem ⋮ Parabolic, prolate spheroidal bases and relation between bases of the nine-dimensional MICZ-Kepler problem ⋮ Exact analytical solutions of the Schrödinger equation for the nine-dimensional MICZ-Kepler problem ⋮ Generalized Runge-Lenz vector and a hidden symmetry of the nine-dimensional MICZ-Kepler problem

Cites Work

• Unnamed Item
• Coulomb-oscillator duality in spaces of constant curvature
• The second Hopf map and Yang–Coulomb system on a 5D (pseudo)sphere
• MICZ-Kepler problems in all dimensions
• A hidden non-Abelian monopole in a 16-dimensional isotropic harmonic oscillator
• SO(6,2) dynamical symmetry of theSU(2) MIC-Kepler problem
• Generalized MICZ-Kepler system, duality, polynomial, and deformed oscillator algebras
• A non-Abelian SO(8) monopole as generalization of Dirac-Yang monopoles for a 9-dimensional space

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