Simple examples of Berezin-Toeplitz Quantization: finite sets and unit interval unit interval

Jean-Pierre Gazeau (gazeau@ccr.jussieu.fr)
Universite Paris 7
Denis-Diderot LPTMC
Case 7020 2
Place Jussieu 75252 Paris Cedex
05 France

Abstract

We present a quantization scheme of an arbitrary measure space based on overcomplete families of states and generalizing the Klauder and the Berezin approaches. The procedure is illustrated by elementary examples in which the measure space is a N-element set and the unit interval.