Generalized MICZ-Kepler problems and unitary highest weight modules
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Publication:5263553
DOI10.1063/1.3574886zbMath1316.81093arXivmath-ph/0702086OpenAlexW2014741721WikidataQ60132272 ScholiaQ60132272MaRDI QIDQ5263553
Publication date: 17 July 2015
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0702086
Atomic physics (81V45) General module theory in associative algebras (16D10) General topics in optics and electromagnetic theory (78A99)
Related Items
Algebraic structure underlying spherical, parabolic, and prolate spheroidal bases of the nine-dimensional MICZ–Kepler problem, Families of symmetries and the hydrogen atom, The classical dynamic symmetry for the Sp(1)-Kepler problems, Magnetized Kepler manifolds and their quantization, Orthosymplectic Lie superalgebras in superspace analogues of quantum Kepler problems, The classical dynamic symmetry for the \(\mathrm{U}(1)\)-Kepler problems, Parabolic, prolate spheroidal bases and relation between bases of the nine-dimensional MICZ-Kepler problem, Generalized Runge-Lenz vector and a hidden symmetry of the nine-dimensional MICZ-Kepler problem
Cites Work
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- The geometry of the SU(2) Kepler problem
- Representation theory and automorphic forms. Based on the symposium, Seoul, Korea, February 14--17, 2005
- Generalized Dirac monopoles in non-Abelian Kaluza--Klein theories
- Hermitian symmetric spaces and their unitary highest weight modules
- The last possible place of unitarity for certain highest weight modules
- Embeddings of unitary highest weight representations and generalized Dirac operators
- Analysis on the minimal representation of \(O(p,q)\). I: Realization via conformal geometry.
- On the SU(2) Kepler problem
- MICZ-Kepler problems in all dimensions
- Generalized MICZ-Kepler problems and unitary highest weight modules, II
- The Representation Aspect of the Generalized Hydrogen Atoms
- Homogeneous functions on light cones: the infinitesimal structure of some degenerate principal series representations
- Dynamical O(4) symmetry in the asymptotic field of the Prasad-Sommerfield monopole
- SO(6,2) dynamical symmetry of theSU(2) MIC-Kepler problem