CLASSICAL THETA-FUNCTIONS AND QUANTUM TORI

被引：8

作者：

WEINSTEIN, A ^{[1
]}

机构：

[1] UNIV CALIF BERKELEY,DEPT MATH,BERKELEY,CA 94720

来源：

PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES | 1994年 / 30卷 / 02期

关键词：

D O I：

10.2977/prims/1195166136

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Schwartz kernel of the multiplication operation on a quantum torus is shown to be the distributional boundary value of a classical multivariate theta function. The kernel satisfies a Schrodinger equation in which the role of time is played by the deformation parameter hBAR and the role of the hamiltonian by a Poisson structure. At least in some special cases, the kernel can be written as a sum of products of single variable theta functions.

引用

页码：327 / 333

页数：7