A non-Abelian SO(8) monopole as generalization of Dirac-Yang monopoles for a 9-dimensional space

DOI10.1063/1.3567422zbMath1315.81038OpenAlexW1991229740MaRDI QIDQ5260935

Le Van Hoang, Thanh-Son Nguyen

Publication date: 30 June 2015

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

Full work available at URL: https://doi.org/10.1063/1.3567422

zbMATH Keywords

MICZ-Kepler problem

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Atomic physics (81V45) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) General topics in optics and electromagnetic theory (78A99)

Related Items (7)

Quadratic algebra structure in the 5D Kepler system with non-central potentials and Yang-Coulomb monopole interaction ⋮ Algebraic structure underlying spherical, parabolic, and prolate spheroidal bases of the nine-dimensional MICZ–Kepler problem ⋮ Parabolic, prolate spheroidal bases and relation between bases of the nine-dimensional MICZ-Kepler problem ⋮ Spectral flow of monopole insertion in topological insulators ⋮ Exact analytical solutions of the Schrödinger equation for the nine-dimensional MICZ-Kepler problem ⋮ On the SO(10, 2) dynamical symmetry group of the MICZ-Kepler problem in a nine-dimensional space ⋮ Generalized Runge-Lenz vector and a hidden symmetry of the nine-dimensional MICZ-Kepler problem

Cites Work

• Unnamed Item
• Green’s function for the five-dimensional SU(2) MIC–Kepler problem
• Generalized Wu-Yang Solution of the Yang-Mills Equation
• Spheroidal analysis of the hydrogen atom
• 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
• Quantised singularities in the electromagnetic field,
• SO(6,2) dynamical symmetry of theSU(2) MIC-Kepler problem
• Generalized MICZ-Kepler system, duality, polynomial, and deformed oscillator algebras

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