DEFORMATION ESTIMATES FOR THE BEREZIN-TOEPLITZ QUANTIZATION

被引：54

作者：

COBURN, LA

机构：

[1] Department of Mathematics, State University of New York at Buffalo, Buffalo, 14214, NY

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1992年 / 149卷 / 02期

关键词：

D O I：

10.1007/BF02097632

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Deformation estimates for the Berezin-Toeplitz quantization of C(n) are obtained. These estimates justify the description of CCR + K as a first-order quantum deformation of AP + C0, where CCR is the usual C*-algebra of (boson) canonical commutation relations, K is the full algebra of compact operators, AP is the algebra of almost-periodic functions and C0 is the algebra of continuous functions which vanish at infinity.

引用

页码：415 / 424

页数：10

共 11 条

[1] ON A HILBERT SPACE OF ANALYTIC FUNCTIONS AND AN ASSOCIATED INTEGRAL TRANSFORM .1. [J].