27 de janeiro de 2020 | Altas Energias, Publicações
Jean-Pierre Gazeau, Tomoi Koide, Romain Murenzi
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24/01/2020
Abstract
Covariant affine integral quantization is studied and applied to the motion of a particle in a punctured plane Pp, for which the phase space is Pp X plane. We examine the consequences of different quantizer operators built from weight functions on this phase space. To illustrate the procedure, we examine two examples of weights. The first one corresponds to 2-D coherent state families, while the second one corresponds to the affine inversion in the punctured plane. The later yields the usual canonical quantization and a quasi-probability distribution (2-D affine Wigner function) which is real, marginal in both position and momentum.