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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Опубліковано в: :Symmetry, Integrability and Geometry: Methods and Applications
Дата:2024
Автори: Martinić Bilać, Tea, Meljanac, Stjepan, Mignemi, Salvatore
Формат: Стаття
Мова:Англійська
Опубліковано: Інститут математики НАН України 2024
Онлайн доступ: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
Цитувати: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
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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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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
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language English
last_indexed 2026-03-13T04:42:11Z
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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