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Symmetry, Integrability and Geometry: Methods and Applications, 2024, Volume 20, 049, 10 pp.
DOI: https://doi.org/10.3842/SIGMA.2024.049 (Mi sigma2051) 		 
Generalized Yang Poisson Models on Canonical Phase Space

Tea Martinić Bilaća, Stjepan Meljanacb, Salvatore Mignemicd

a Faculty of Science, University of Split, Rudera Boškovića 33, 21000 Split, Croatia
b Division of Theoretical Physics, Ruder Bošković Institute, Bijenička cesta 54, 10002 Zagreb, Croatia
c INFN, Sezione di Cagliari Cittadella Universitaria, 09042 Monserrato, Italy
d Dipartimento di Matematica, Università di Cagliari, via Ospedale 72, 09124 Cagliari, Italy
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DOI: https://doi.org/10.3842/SIGMA.2024.049
Abstract: We discuss the generalized Yang Poisson models. We construct generalizations of the Yang Poisson algebra related to $\mathfrak{o}(1,5)$ algebra discussed by Meljanac and Mignemi (2023). The exact realizations of this generalized algebra on canonical phase space are presented and the corresponding differential equations are solved in simple cases. Furthermore, we discuss the Poisson algebras related to $\mathfrak{o}(3,3)$ and $\mathfrak{o}(2,4)$ algebras.
Keywords: Yang Poisson model, generalized Yang Poisson model, realizations.
Funding agency
S. Mignemi thanks Gruppo Nazionale di Fisica Matematica for support.
Received: March 12, 2024; in final form May 29, 2024; Published online June 10, 2024
Document Type: Article
MSC: 81R60
Language: English
Citation: Tea Martinić Bilać, Stjepan Meljanac, Salvatore Mignemi, “Generalized Yang Poisson Models on Canonical Phase Space”, SIGMA, 20 (2024), 049, 10 pp.
Citation in format AMSBIB
\Bibitem{MarMelMig24}
\by Tea~Martini\'c Bila\'c, Stjepan~Meljanac, Salvatore~Mignemi
\paper Generalized Yang Poisson Models on Canonical Phase Space
\jour SIGMA
\yr 2024
\vol 20
\papernumber 049
\totalpages 10
\mathnet{http://mi.mathnet.ru/sigma2051}
\crossref{https://doi.org/10.3842/SIGMA.2024.049}
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