Generalized Yang Poisson Models on Canonical Phase Space
We discuss the generalized Yang Poisson models. We construct generalizations of the Yang Poisson algebra related to (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 e...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2024 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2024
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/212258 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Generalized Yang Poisson Models on Canonical Phase Space, Tea Martinić Bilać, Stjepan Meljanac and Salvatore Mignemi. SIGMA 20 (2024), 049, 10 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862551870142152704 |
|---|---|
| author | Martinić Bilać, Tea Meljanac, Stjepan Mignemi, Salvatore |
| author_facet | Martinić Bilać, Tea Meljanac, Stjepan Mignemi, Salvatore |
| citation_txt | Generalized Yang Poisson Models on Canonical Phase Space, Tea Martinić Bilać, Stjepan Meljanac and Salvatore Mignemi. SIGMA 20 (2024), 049, 10 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We discuss the generalized Yang Poisson models. We construct generalizations of the Yang Poisson algebra related to (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 (3, 3) and (2, 4) algebras.
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| first_indexed | 2026-03-13T04:42:11Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-212258 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-13T04:42:11Z |
| publishDate | 2024 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Martinić Bilać, Tea Meljanac, Stjepan Mignemi, Salvatore 2026-02-03T07:56:07Z 2024 Generalized Yang Poisson Models on Canonical Phase Space, Tea Martinić Bilać, Stjepan Meljanac and Salvatore Mignemi. SIGMA 20 (2024), 049, 10 pages 1815-0659 2020 Mathematics Subject Classification: 81R60 arXiv:2403.05464 https://nasplib.isofts.kiev.ua/handle/123456789/212258 https://doi.org/10.3842/SIGMA.2024.049 We discuss the generalized Yang Poisson models. We construct generalizations of the Yang Poisson algebra related to (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 (3, 3) and (2, 4) algebras. S. Mignemi thanks the Gruppo Nazionale di Fisica Matematica for support. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Generalized Yang Poisson Models on Canonical Phase Space Article published earlier |
| spellingShingle | Generalized Yang Poisson Models on Canonical Phase Space Martinić Bilać, Tea Meljanac, Stjepan Mignemi, Salvatore |
| title | Generalized Yang Poisson Models on Canonical Phase Space |
| title_full | Generalized Yang Poisson Models on Canonical Phase Space |
| title_fullStr | Generalized Yang Poisson Models on Canonical Phase Space |
| title_full_unstemmed | Generalized Yang Poisson Models on Canonical Phase Space |
| title_short | Generalized Yang Poisson Models on Canonical Phase Space |
| title_sort | generalized yang poisson models on canonical phase space |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/212258 |
| work_keys_str_mv | AT martinicbilactea generalizedyangpoissonmodelsoncanonicalphasespace AT meljanacstjepan generalizedyangpoissonmodelsoncanonicalphasespace AT mignemisalvatore generalizedyangpoissonmodelsoncanonicalphasespace |