A Remark on Non-equivalent Star Products via Reduction for CPn
نویسنده
چکیده
In this paper we construct non-equivalent star products on CP by phase space reduction. It turns out that the non-equivalent star products occur very natural in the context of phase space reduction by deforming the momentum map of the U(1)-action on C \ {0} into a quantum momentum map and the corresponding momentum value into a quantum momentum value such that the level set, i. e. the ‘constraint surface’, of the quantum momentum map coincides with the classical one. All equivalence classes of star products on CP are obtained by this construction.
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تاریخ انتشار 1998