An infinite-dimensional Heisenberg uncertainty principle

被引：1
|
作者：
Lee, YJ [1 ]
Stan, A
机构：
[1] Natl Cheng Kung Univ, Dept Math, Tainan 701, Taiwan
[2] Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA
来源：
TAIWANESE JOURNAL OF MATHEMATICS | 1999年 / 3卷 / 04期
关键词：
Gaussian measure; second quantization; Heisenberg uncertainty principle;
D O I：
10.11650/twjm/1500407165
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An analogue of the classical Heisenberg inequality is given for an infinite-dimensional space. The proof relies on a commutation relationship and integration by parts formula for Gaussian measure. We also discuss when the equality holds.
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页码：529 / 538
页数：10
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