RT info:eu-repo/semantics/article
T1 Quantum, classical symmetries, and action-angle variables by factorization of superintegrable systems
A1 Kuru, Şengül
A1 Negro, Javier
A1 Salamanca, Sergio
AB 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 resultsis the finding of action-angle variables as a natural component of the classical symmetries within this formalism.
PB Springer Nature
YR 2023
FD 2023
LK https://uvadoc.uva.es/handle/10324/81446
UL https://uvadoc.uva.es/handle/10324/81446
LA eng
NO Eur. Phys. J. Plus (2023) 138:931
DS UVaDOC
RD 21-feb-2026