Group-theoretical derivation of angular momentum eigenvalues in spaces of arbitrary dimensions
- 13 November 2012
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 53 (12), 122102
- https://doi.org/10.1063/1.4758928
Abstract
The spectrum of the square of the angular momentum in arbitrary dimensions is derived using only group theoretical techniques. This is accomplished by application of the Lie algebra of the noncompact group O(2, 1).Funding Information
- U.S. Department of Energy (DE-FG02-91ER40685)
This publication has 7 references indexed in Scilit:
- Dynamical symmetry of the magnetic vortexAnnals of Physics, 1990
- Dynamical symmetry of the magnetic monopoleAnnals of Physics, 1980
- Application of Orthogonal and Unitary Group Methods to the-Body ProblemReviews of Modern Physics, 1972
- Partial Group-Theoretical Treatment for the Relativistic Hydrogen AtomJournal of Mathematical Physics, 1967
- On non-compact groups. II. Representations of the 2+1 Lorentz groupProceedings of the Royal Society of London. Series A - Mathematical and Physical Sciences, 1965
- Generalized orbital angular momentum and the n-fold degenerate quantum-mechanical oscillatorJournal of Molecular Spectroscopy, 1960
- Irreducible Unitary Representations of the Lorentz GroupAnnals of Mathematics, 1947