Symmetry Algebra of the Planar Anisotropic Quantum Harmonic Oscillator with Rational Ratio of Frequencies

Details Symmetry Algebra of the Planar Anisotropic Quantum Harmonic Oscillator with Rational Ratio of Frequencies Symmetry Algebra of the Planar Anisotropic Quantum Harmonic Oscillator with Rational Ratio of Frequencies

1994-02-17

arxiv.org/abs/hep-th/9402099v1

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 10 pages , THES-TP/93-13 (bonat@cyclades.nrcps.ariadne-t.gr), (daskaloyanni@olymp.ccf.auth.gr)

Scientific paper

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 determined using algebraic methods of
general applicability to quantum superintegrable systems.

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