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Symmetry, Integrability and Geometry: Methods and Applications, 2022, Volume 18, 022, 20 pp.
DOI: https://doi.org/10.3842/SIGMA.2022.022 (Mi sigma1816) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Deformed Quantum Phase Spaces, Realizations, Star Products and Twists

Stjepan Meljanaca, Rina Štrajnb

a Division of Theoretical Physics, Rudjer Boškovic Institute, Bijenička cesta 54, 10002 Zagreb, Croatia
b Department of Electrical Engineering and Computing, University of Dubrovnik, Ćira Carića 4, 20000 Dubrovnik, Croatia
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DOI: https://doi.org/10.3842/SIGMA.2022.022
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.
Keywords: deformed quantum phase spaces, realizations, star products, twists.
Received: December 27, 2021; in final form March 14, 2022; Published online March 23, 2022
Bibliographic databases:
Document Type: Article
MSC: 81R60
Language: English
Citation: Stjepan Meljanac, Rina Štrajn, “Deformed Quantum Phase Spaces, Realizations, Star Products and Twists”, SIGMA, 18 (2022), 022, 20 pp.
Citation in format AMSBIB
\Bibitem{MelStr22}
\by Stjepan~Meljanac, Rina~{\v S}trajn
\paper Deformed Quantum Phase Spaces, Realizations, Star Products and Twists
\jour SIGMA
\yr 2022
\vol 18
\papernumber 022
\totalpages 20
\mathnet{http://mi.mathnet.ru/sigma1816}
\crossref{https://doi.org/10.3842/SIGMA.2022.022}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4397643}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85130700700}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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