Integral quantizations with POVM and some applications

30th International Colloquium on Group Theoretical Methods in Physics

Fresneda, R.^1 ; Gazeau, J.-P.^2,3

Federal University of ABC (UFABC), Santo Andre - SP

CEP 09210-580, Brazil^1

APC, Universite Paris Diderot, Sorbonne Paris-Cite, Paris Cedex 13

75205, France^2

Centro Brasileiro de Pesquisas Fisicas, Rua Xavier Sigaud 150, Rio de Janeiro

22290-180, Brazil^3

关键词: Affine groups;    Classical set;    Heisenberg group;    Positive operator valued measure;    Quantum cosmology;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/597/1/012037/pdf
DOI  :  10.1088/1742-6596/597/1/012037

来源: IOP

【 摘 要 】

We present quantizations of functions (or distributions) on a measure space viewed as a classical set. They are based on positive operator-valued measures. To illustrate the large range of potentialities of the method, we develop examples where the classical sets are the group SU(2), the (projective) Weyl-Heisenberg group, and the affine group. Applications to quantum cosmology and to the quantization of constraints are outlined.