A Feynman-Kac formula for geometric quantization

被引：0

作者：

郭懋正

钱敏

王正栋

机构：

[1] Beijing 100871

[2] Peking University

[3] China

[4] Department of Mathematics

来源：

Science China Mathematics | 1996年 / 03期

基金：

中国国家自然科学基金;

关键词：

Lie group; line bundle; principal bundle; connection; Brownian motion;

D O I：

暂无

中图分类号：

O182 [解析几何];

学科分类号：

0701 ; 070101 ;

摘要：

The geometric quantization on a homogeneous manifold is studied. For any quantizable function f, the stochastical expression for the unitary group exp(itQ (f)) generated by the quantized operator Q(f) is established. As an application, a Feynman-Kac formula for the compact semisimple Lie group is rederived.

引用

页码：238 / 245

页数：8