Classical ladder functions for Rosen-Morse and curved Kepler-Coulomb systems
| Autor: | Delisle-Doray, L., Hussin, V., Kuru, S., Negro, J. |
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| Rok vydání: | 2018 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.aop.2019.03.004 |
| Popis: | 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. Comment: 20 pages, 8 figures |
| Databáze: | arXiv |
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