Symmetry algebra of the planar anisotropic quantum harmonic oscillator with rational ratio of frequencies
Abstract
The symmetry algebra of the two-dimensional quantum harmonic oscillator with rational ratio of frequencies is identified as a non-linear extension of the u(2) algebra. The finite dimensional representation modules of this algebra are studied and the energy eigenvalues are de- termined using algebraic methods of general applicability to quantum superintegrable systems.
Article Details
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Bonatsos, D., Daskaloyannis, C., Kolokotronis, P., & Lenis, D. (2020). Symmetry algebra of the planar anisotropic quantum harmonic oscillator with rational ratio of frequencies. HNPS Advances in Nuclear Physics, 4, 153–162. https://doi.org/10.12681/hnps.2881
- Issue
- Vol. 4 (1993): HNPS1993
- Section
- Oral contributions