RT info:eu-repo/semantics/article
T1 Covariant integral quantization of the unit disk
A1 Olmo Martínez, Mariano Antonio del
A1 Gazeau, Jean-Pierre
AB We implement a SU(1, 1) covariant integral quantization of functions on the unit disk. The latter can be viewed as the phase space forthe motion of a “massive” test particle on (1+1)-anti-de Sitter space-time, and the relevant unitary irreducible representations of SU(1, 1)corresponding to the quantum version of such motions are found in the discrete series and its lower limit. Our quantization method dependson the choice of a weight function on the phase space in such a way that different weight functions yield different quantizations. For instance,the Perelomov coherent states quantization is derived from a particular choice. Semi-classical portraits or lower symbols of main physicallyrelevant operators are determined, and the statistical meaning of the weight function is discussed.
PB AIP Publishing
SN 0022-2488
YR 2020
FD 2020
LK http://uvadoc.uva.es/handle/10324/40871
UL http://uvadoc.uva.es/handle/10324/40871
LA eng
NO Journal of Mathematical Physics, 2020, vol. 61, n. 2. 20 p.
NO Producción Científica
DS UVaDOC
RD 18-abr-2024