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arXiv · 1305.4026

On local equivalence of star-products on Poisson manifolds

Ziemowit Domanski·Maciej Blaszak
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Abstract

We present a proof that every star-product defined on a Poisson manifold and written in a given quantum canonical coordinate system is uniquely equivalent with a Moyal product associated with this coordinate system. The equivalence is assumed to satisfy some additional conditions which guarantee its uniqueness. Moreover, the systematic construction of such equivalence is presented and a formula for this equivalence in a case of a particular class of star-products is given, to the fourth order in $\hbar$.

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Ziemowit Domanski, Maciej Blaszak. 2013-05-17. On local equivalence of star-products on Poisson manifolds. https://arxiv.org/abs/1305.4026

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