Generalized Runge-Lenz vector and a hidden symmetry of the nine-dimensional MICZ-Kepler problem
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Publication:2872245
DOI10.1063/1.4740514zbMath1331.70025OpenAlexW2057812757MaRDI QIDQ2872245
Publication date: 14 January 2014
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.4740514
Two-body problems (70F05) General mathematical topics and methods in quantum theory (81Q99) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)
Related Items (4)
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
Cites Work
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- MICZ-Kepler problems in all dimensions
- A hidden non-Abelian monopole in a 16-dimensional isotropic harmonic oscillator
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- 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
- Generalized MICZ-Kepler problems and unitary highest weight modules
- On the SO(10, 2) dynamical symmetry group of the MICZ-Kepler problem in a nine-dimensional space
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