COHERENT STATES AND PROJECTIVE REPRESENTATION OF THE LINEAR CANONICAL-TRANSFORMATIONS

被引：15

作者：

DAUBECHIES, I

机构：

[1] Theoretische Natuurkunde, Vrije Universiteit Brussel, B1050 Brussels

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1980年 / 21卷 / 06期

关键词：

D O I：

10.1063/1.524562

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Using a family of coherent state representations we obtain in a natural and coordinate-independent way an explicit realization of a projective unitary representation of the symplectic group. Dequantization of these operators gives us the corresponding classical functions. © 1980 American Institute of Physics.

引用

页码：1377 / 1389

页数：13

共 23 条

[1]

Artin E., 1988, GEOMETRIC ALGEBRA, DOI 10.1002/9781118164518

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