Deformed Quantum Phase Spaces, Realizations, Star Products and Twists

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2022
• Main Authors: Meljanac, Stjepan, Štrajn, Rina
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2022
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211523
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Deformed Quantum Phase Spaces, Realizations, Star Products and Twists. Stjepan Meljanac and Rina Štrajn. SIGMA 18 (2022), 022, 20 pages

We review deformed quantum phase spaces and their realizations in terms of the 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...