- Author
- Year
- 2014
- Title
- Noncompact dynamical symmetry of a spin-orbit-coupled oscillator
- Journal
- Physical Review A
- Volume | Issue number
- 89 | 3
- Pages (from-to)
- 032105
- Number of pages
- 7
- Document type
- Article
- Faculty
- Faculty of Science (FNWI)
- Institute
- Institute for Theoretical Physics Amsterdam (ITFA)
- Abstract
-
We explain the finite as well as infinite degeneracy in the spectrum of a particular system of spin-1/2 fermions with spin-orbit coupling in three spatial dimensions. Starting from a generalized Runge-Lenz vector, we explicitly construct a complete set of symmetry operators, which span a noncompact SO(3,2) algebra. The degeneracy of the physical spectrum only involves an infinite, so-called singleton representation. In the branch where orbital and spin angular momentum are aligned, the full representation appears, constituting a three-dimensional analog of Landau levels. Antialigning the spin leads to a finite degeneracy due to a truncation of the singleton representation. We conclude the paper by constructing the spectrum generating algebra of the problem.
- URL
- go to publisher's site
- Language
- English
- Persistent Identifier
- https://hdl.handle.net/11245/1.433148
- Downloads
-
Noncompact dynamical symmetry(Final published version)
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