Energy eigenvalues of the three-dimensional quantum harmonic oscillator from SU (3) cubic Casimir operator

DOI10.1088/1361-6404/AAEE38zbMath1421.81045OpenAlexW2900226065MaRDI QIDQ5231788

Autumn Zender, Rajan Murgan

Publication date: 3 September 2019

Published in: European Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6404/aaee38

zbMATH Keywords

Lie groupsquantum symmetriesquantum harmonic oscillator

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Physics, astronomy, technology, engineering (aspects of mathematics education) (97M50)

Cites Work

• Degeneracy of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>n</mml:mi></mml:math>-Dimensional, Isotropic, Harmonic Oscillator
• Three-Dimensional Isotropic Harmonic Oscillator and SU3
• On the Problem of Degeneracy in Quantum Mechanics
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