Classical ladder functions for Rosen-Morse and curved Kepler-Coulomb systems
arXiv:1812.11582 · doi:10.1016/j.aop.2019.03.004
Abstract
Ladder functions in classical mechanics are defined in a similar way as ladder operators in the context of quantum mechanics. In the present paper, we develop a new method for obtaining ladder functions of one dimensional systems by means of a product of two `factor functions'. We apply this method to the curved Kepler-Coulomb and Rosen-Morse II systems whose ladder functions were not found yet. The ladder functions here obtained are applied to get the motion of the system.
arXiv comment20 pages, 8 figures
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Cited by in corpus (4)
- Quantum, classical symmetries and action-angle variables by factorization of superintegrable systems
- Degeneracy and coherent states of the two-dimensional Morse potential
- SUSY partners and -matrix poles of the one dimensional Rosen-Morse II Hamiltonian
- Ladder operators and coherent states for the Rosen-Morse system and its rational extensions