Art or science: The determination of the symmetry Lie algebra for a Hamiltonian with accidental degeneracy

DOI10.1016/0003-4916(90)90329-MzbMath0875.22002OpenAlexW2052896498WikidataQ115368755 ScholiaQ115368755MaRDI QIDQ1816237

Gino Loyola, Christiane Quesne, Marcos Moshinsky

Publication date: 24 November 1996

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

Full work available at URL: https://doi.org/10.1016/0003-4916(90)90329-m

zbMATH Keywords

Hamiltoniandegeneracysymmetry Lie algebra

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of Lie groups to the sciences; explicit representations (22E70) Invariance and symmetry properties for PDEs on manifolds (58J70)

Related Items (3)

SUSY QM, symmetries and spectrum generating algebras for two-dimensional systems ⋮ Symmetries and degeneracies of a charged oscillator in the field of a magnetic monopole ⋮ Exactly solvable potentials and quantum algebras

Cites Work

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• Die Eindeutigkeit der Schrödingerschen Operatoren
• Irreducible unitary representations of the Lorentz group
• Does Accidental Degeneracy Imply a Symmetry Group?
• Boson realization of sp(4). I. The matrix formulation
• On non-compact groups. II. Representations of the 2+1 Lorentz group
• Linear Canonical Transformations and Their Unitary Representations
• On the Problem of Degeneracy in Quantum Mechanics
• Field Dependence of the Intrinsic Domain Magnetization of a Ferromagnet

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