Symmetry algebra of the 3-dimensional anisotropic quantum harmonic oscillator with rational ratio of frequencies and the Nilsson model
Journal Article
·
· Bulletin of the American Physical Society
OSTI ID:374793
The symmetry algebra of the N-dimensional anisotropic quantum harmonic oscillator with rational ratio of frequencies is constructed by a method of general applicability to quantum superintegrable systems. The special case of the 3-dim oscillator is studied in more detail, because of its relevance in the description of superdeformed nuclei and nuclear and atomic clusters. In this case the symmetry algebra turns out to be a nonlinear extension of the U(3) algebra. A generalized angular momentum operator useful for labeling the degenerate states is constructed, clarifying the connection of the present formalism to the Nilsson model.
- OSTI ID:
- 374793
- Report Number(s):
- CONF-9304297--
- Journal Information:
- Bulletin of the American Physical Society, Journal Name: Bulletin of the American Physical Society Journal Issue: 2 Vol. 40; ISSN BAPSA6; ISSN 0003-0503
- Country of Publication:
- United States
- Language:
- English
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