RT info:eu-repo/semantics/article
T1 SO(2,2) representations in polar coordinates and Pöschl-Teller potentials
A1 Blázquez Villalobos, María del Carmen
A1 Negro Vadillo, Francisco Javier
K1 Mathematical physics
K1 Variables (Matemáticas)
K1 2212 Física Teórica
AB This work is devoted to show the interest of polar coordinates in the descriptionof some unitary irreducible representations (or uir’s) of the SO(2, 2) groupwhere the support space are functions on the three dimensional pseudosphereH2,2R . We will show that the differential equations associated to such uir’s canbe interpreted as quantum systems including centrifugal terms; in our casethese equations lead to one-dimensional Pöschl-Teller systems. The solutionsto these equations are computed and the uir’s are characterized in terms of polarcoordinates. We will also discuss briefly the more standard pseudosphericalcoordinates onH2,2 R in order to appreciate some of the differences. We will consideras well the (maximally superintegrable) free classical systems defined onthe real pseudosphere H2,2 R symmetric under SO(2, 2). The constants of motionare found and they are applied to find some bounded (therefore periodic) and unbounded orbits also in terms of polar coordinates.
PB IOP
SN 1751-8113
YR 2024
FD 2024
LK https://uvadoc.uva.es/handle/10324/81442
UL https://uvadoc.uva.es/handle/10324/81442
LA spa
NO Journal of Physics A: Mathematical and Theoretical, 2024, vol. 57, nº. 19, 195204, 22 pp.
DS UVaDOC
RD 19-abr-2026