Star Products on Generalised Complex Manifolds
نویسنده
چکیده
We regard classical phase space as a generalised complex manifold and analyse the B–transformation properties of the ⋆–product of functions. The C–algebra of smooth functions transforms in the expected way, while the C–algebra of holomorphic functions (when it exists) transforms nontrivially. The B–transformed ⋆–product encodes all the properties of phase–space quantum mechanics in the presence of a background magnetic field.
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تاریخ انتشار 2006