2026-04-27T20:20:45Zhttps://uvadoc.uva.es/oai/request

oai:uvadoc.uva.es:10324/814462026-03-20T11:21:06Zcom_10324_1159com_10324_931com_10324_894col_10324_1310

Quantum, classical symmetries, and action-angle variables by factorization of superintegrable systems Kuru, Şengül Negro Vadillo, Francisco Javier Salamanca Pita, Sergio The purpose of this work is to present a method based on the factorizations used in one-dimensional quantum mechanics in order to find the symmetries of quantum and classical superintegrable systems in higher dimensions. We apply this procedure to the harmonic oscillator and Kepler–Coulomb systems to show the differences with other more standard approaches.We describe in detail the basic ingredients to make explicit the parallelism of classical and quantum treatments. One of the most interesting results is the finding of action-angle variables as a natural component of the classical symmetries within this formalism. 2026-01-13T16:21:21Z 2026-01-13T16:21:21Z 2023 info:eu-repo/semantics/article Eur. Phys. J. Plus (2023) 138:931 https://uvadoc.uva.es/handle/10324/81446 10.1140/epjp/s13360-023-04524-x 10 The European Physical Journal Plus 138 2190-5444 eng info:eu-repo/semantics/openAccess Springer Nature SI