Noncommutative Kahlerlike structures in quantization
Abstract
One introduces the notion of C*algebra with polarization which could be considered as the quantum Kahler structure. The connection of these algebras with KostantSouriou geometric quantization is shown. The theory of polarized C*algebra is investigated by the use of the coherent states method.
 Publication:

arXiv eprints
 Pub Date:
 May 2005
 DOI:
 10.48550/arXiv.mathph/0505061
 arXiv:
 arXiv:mathph/0505061
 Bibcode:
 2005math.ph...5061O
 Keywords:

 Mathematical Physics;
 81R30;
 81R60;
 81R15;
 32Q15;
 46C65;
 53D50;
 53D55;
 46L87
 EPrint:
 pages 29