Heinz-Dietrich Doebner
A. Sommerfeld Institute, Leibnizstrasse 10, D-38678 Clausthal-Zellerfeld, Germany
E-mail: asi@pt.tu-clausthal.de

Geometric Formulation of Berezin Quantization

Abstract:
In this paper we try to formulate the Berezin quantization on projective Hilbert space P(H) and use its geometric structure. It will be shown that the star product in Berezin quantization is equivalent to the Poisson bracket on P(H) and the Berezin method to construction a correspondence between a given classical theory and a given quantum theory is used to define a classical limit for geometric quantum mechanics.