Search for a Universal Symmetry Group in Two Dimensions

DOI10.1063/1.1665226zbMath0191.26902OpenAlexW2001674515MaRDI QIDQ5585327

Harold V. McIntosh, Arturo Cisneros

Publication date: 1970

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

Full work available at URL: https://doi.org/10.1063/1.1665226

zbMATH Keywords

quantum theory

Related Items (10)

Multifold Kepler systems—Dynamical systems all of whose bounded trajectories are closed ⋮ Formal Equivalence of the Hydrogen Atom and Harmonic Oscillator and Factorization of the Bethe-Salpeter Equations ⋮ Dynamical and symmetry groups of the \(SU (2)\) Kepler problem ⋮ Hidden symmetry of hyperbolic monopole motion ⋮ On the accidental degeneracy of the anisotropic harmonic oscillator. I ⋮ Effects of symmetry breaking in finite quantum systems ⋮ The quantized \(\text{SU}(2)\) Kepler problem and its symmetry group for negative energies ⋮ 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 ⋮ Non-linear ladder operators and coherent states for the 2:1 oscillator

Cites Work

• Dynamical groups and spherical potentials in classical mechanics
• On the degeneracy of the Kepler problem
• Group representations and creation operators
• On the Problem of Degeneracy in Quantum Mechanics
• Motion in a Constant Magnetic Field
• The Factorization Method

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