1305.4026 (Ziemowit Domanski et al.)

On equivalence of star-products in arbitrary canonical coordinates    [PDF]

Ziemowit Domanski, Maciej Blaszak

We present a proof that certain star-products defined on Poisson manifolds and written in a given classical and quantum canonical coordinate system are uniquely equivalent with a Moyal product associated with this coordinate system. The equivalence is assumed to satisfy some additional conditions which guarantee the uniqueness of the equivalence. Moreover, the systematic construction of such equivalence is presented.

View original: http://arxiv.org/abs/1305.4026