Realizations of the Yang-Poisson model on canonical phase space

S. Meljanac; S. Mignemi

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arXiv · 2307.09828

Realizations of the Yang-Poisson model on canonical phase space

S. Meljanac·S. Mignemi

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Abstract

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 spacetime 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.

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S. Meljanac, S. Mignemi. 2023-07-19. Realizations of the Yang-Poisson model on canonical phase space. https://arxiv.org/abs/2307.09828

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