Deformed quantum phase spaces, realizations, star products and twists

Meljanac, Stjepan; Štrajn, Rina (2022) Deformed quantum phase spaces, realizations, star products and twists. Symmetry Integrability and Geometry-Methods and Applications, 18 . ISSN 1815-0659

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Abstract

We review deformed quantum phase spaces and their realizations in terms of undeformed phase space. In particular, methods of calculation for the star product, coproduct of momenta and twist from realizations are presented, as well as their properties and the relations between them. Lie deformed quantum phase spaces and Snyder type spaces are considered. Examples of linear realizations of the kappa-Minkowski spacetime are elaborated. Finally, some new results on quadratic deformations of quantum phase spaces and a generalization of Yang and triply special relativity models are presented.

Item Type:	Article
Uncontrolled Keywords:	deformed quantum phase spaces ; realizations ; star products ; twists
Subjects:	NATURAL SCIENCES > Mathematics
Divisions:	Theoretical Physics Division
Depositing User:	Stjepan Meljanac
Date Deposited:	26 Apr 2022 12:17
URI:	http://fulir.irb.hr/id/eprint/7329
DOI:	10.3842/SIGMA.2022.022

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