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arXiv · 1812.11582

Classical ladder functions for Rosen-Morse and curved Kepler-Coulomb systems

L. Delisle-Doray·V. Hussin·S. Kuru·J. Negro
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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.

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BibTeXRIS

L. Delisle-Doray, V. Hussin, S. Kuru, J. Negro. 2018-12-30. Classical ladder functions for Rosen-Morse and curved Kepler-Coulomb systems. https://doi.org/10.1016/j.aop.2019.03.004

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