TOEPLITZ QUANTIZATION OF KAHLER-MANIFOLDS AND GL(N), N-]INFINITY LIMITS

被引：243

作者：

BORDEMANN, M

MEINRENKEN, E

SCHLICHENMAIER, M

机构：

[1] MIT,DEPT MATH,CAMBRIDGE,MA 02139

[2] UNIV MANNHEIM,DEPT MATH & COMP SCI,D-68131 MANNHEIM,GERMANY

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1994年 / 165卷 / 02期

关键词：

D O I：

10.1007/BF02099772

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

For general compact Kahler manifolds it is shown that both Toeplitz quantization and geometric quantization lead to a well-defined (by operator norm estimates) classical limit. This generalizes earlier results of the authors and Klimek and Lesniewki obtained for the torus and higher genus Riemann surfaces, respectively. We thereby arrive at an approximation of the Poisson algebra by a sequence of finite-dimensional matrix algebras gl(N), N --> infinity.

引用

页码：281 / 296

页数：16

共 38 条

[31] COHERENT STATES AND KAHLER MANIFOLDS [J].