2021-07-30T20:52:17Zhttps://uvadoc.uva.es/oai/requestoai:uvadoc.uva.es:10324/408712021-06-24T07:22:47Zcom_10324_22154com_10324_954com_10324_894col_10324_22155
Olmo Martínez, Mariano Antonio del
Gazeau, Jean-Pierre
2020-05-16T11:24:59Z
2020-05-16T11:24:59Z
2020
Journal of Mathematical Physics, 2020, vol. 61, n. 2. 20 p.
0022-2488
http://uvadoc.uva.es/handle/10324/40871
10.1063/1.5128066
022101
2
Journal of Mathematical Physics
61
1089-7658
We implement a SU(1, 1) covariant integral quantization of functions on the unit disk. The latter can be viewed as the phase space for
the 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 depends
on 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 physically
relevant operators are determined, and the statistical meaning of the weight function is discussed.
eng
info:eu-repo/semantics/openAccess
© 2020 AIP Publishing
Covariant integral quantization of the unit disk
info:eu-repo/semantics/article