QUANTIZATION OF KAHLER-MANIFOLDS .3.

被引:65
作者
CAHEN, M
GUTT, S
RAWNSLEY, J
机构
[1] UNIV METZ,DEPT MATH,F-57045 METZ,FRANCE
[2] UNIV WARWICK,INST MATH,COVENTRY CV4 7AL,W MIDLANDS,ENGLAND
关键词
D O I
10.1007/BF00751065
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We use Berezin's dequantization procedure to define a formal *-product on the algebra of smooth functions on the unit disk in C. We prove that this formal *-product is convergent on a dense subalgebra of the algebra of smooth functions.
引用
收藏
页码:291 / 305
页数:15
相关论文
共 7 条
[1]   DEFORMATION THEORY AND QUANTIZATION .1. DEFORMATIONS OF SYMPLECTIC STRUCTURES [J].
BAYEN, F ;
FLATO, M ;
FRONSDAL, C ;
LICHNEROWICZ, A ;
STERNHEIMER, D .
ANNALS OF PHYSICS, 1978, 111 (01) :61-110
[2]   QUANTUM-MECHANICS AS A DEFORMATION OF CLASSICAL MECHANICS [J].
BAYEN, F ;
FLATO, M ;
FRONSDAL, C ;
LICHNEROWICZ, A ;
STERNHEIMER, D .
LETTERS IN MATHEMATICAL PHYSICS, 1977, 1 (06) :521-530
[3]   GENERAL CONCEPT OF QUANTIZATION [J].
BEREZIN, FA .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1975, 40 (02) :153-174
[4]   QUANTIZATION OF KAHLER-MANIFOLDS .2. [J].
CAHEN, M ;
GUTT, S ;
RAWNSLEY, J .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1993, 337 (01) :73-98
[5]  
Cahen M., 1990, J GEOM PHYS, V7, P45
[6]  
COMBET E, 1982, LECTURE NTOES MATH, V937
[7]   STAR-PRODUCTS ON D1 (C), S2 AND RELATED SPECTRAL-ANALYSIS [J].
MORENO, C ;
ORTEGANAVARRO, P .
LETTERS IN MATHEMATICAL PHYSICS, 1983, 7 (03) :181-193