In this paper, we present a quantization of the functions of spacetime, i.e. a map, analog to Weyl map, which reproduces the κ-Minkowski commutation relations, and it has the desirable properties of mapping square integrable functions into Hilbert-Schmidt operators, as well as real functions into symmetric operators. The map is based on Mellin transform on radial and time coordinates. The map also defines a deformed - product which we discuss with examples.
The Weyl-Mellin quantization map / Carotenuto, A.; Lizzi, F.; Mercati, F.; Manfredonia, M.. - In: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. - ISSN 0219-8878. - 19:03(2022), p. 2250031. [10.1142/S0219887822500311]
The Weyl-Mellin quantization map
Lizzi F.;Mercati F.;Manfredonia M.
2022
Abstract
In this paper, we present a quantization of the functions of spacetime, i.e. a map, analog to Weyl map, which reproduces the κ-Minkowski commutation relations, and it has the desirable properties of mapping square integrable functions into Hilbert-Schmidt operators, as well as real functions into symmetric operators. The map is based on Mellin transform on radial and time coordinates. The map also defines a deformed - product which we discuss with examples.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
