We discuss the generalized Yang Poisson models. We construct generalizations of the Yang Poisson algebra related to 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 o(3, 3) and o(2, 4) algebras.
Generalized Yang Poisson Models on Canonical Phase Space
Mignemi, Salvatore
2024-01-01
Abstract
We discuss the generalized Yang Poisson models. We construct generalizations of the Yang Poisson algebra related to 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 o(3, 3) and o(2, 4) algebras.
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