Realizations of the Yang–Poisson model on canonical phase space

Meljanac, S.;Mignemi, S.

2023-01-01

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Abstract

In this paper, we discuss exact realizations of the Yang-Poisson model on canonical phase space. The Yang model is an example of noncommutative geometry on a background space-time of constant curvature and is notable for its duality between position and momentum manifolds. We call Yang-Poisson model its classical limit, with commutators replaced by Poisson brackets. The structure is simpler in the classical case, and exact realizations can be found.