Constants of motion, ladder operators and supersymmetry of the two-dimensional isotropic harmonic oscillator

DOI10.1088/0305-4470/35/12/318zbMath1041.81055OpenAlexW2049701638MaRDI QIDQ4465606

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Publication date: 9 June 2004

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/35/12/318

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Supersymmetry and quantum mechanics (81Q60) Geometric theory, characteristics, transformations in context of PDEs (35A30)

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Classical ladder operators, polynomial Poisson algebras, and classification of superintegrable systems ⋮ Construction of classical superintegrable systems with higher order integrals of motion from ladder operators ⋮ SYMMETRY AND SUPERSYMMETRY OF A NEUTRON IN THE MAGNETIC FIELD OF A LINEAR CURRENT

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