Does accidental degeneracy imply a symmetry group?

DOI10.1016/0003-4916(83)90247-6zbMath0562.70013OpenAlexW2000074344MaRDI QIDQ1057081

Christiane Quesne, Marcos Moshinsky

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0003-4916(83)90247-6

zbMATH Keywords

accidental degeneracyharmonic oscillator potentialdegenerate spectrumLie algebra of U(3)\(\times SU(2)\)spin-orbit and centrifugal part

Mathematics Subject Classification ID

Hamilton's equations (70H05) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items

Superintegrability of the Fock-Darwin system, Substitutional symmetries and extra degeneracies of real symmetric matrices, Boson realization of sp(4). I. The matrix formulation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Canonical transformations relating the oscillator and Coulomb problems and their relevance for collective motions
• Canonical Transformations and Quantum Mechanics
• On the Problem of Degeneracy in Quantum Mechanics