Cauchy inequality and uncertainty relations for mixed states

被引：2
|
作者：
Shirokov, M. I. [1 ]
机构：
[1] Joint Inst Nucl Res, Bogoliubov Lab Theoret Phys, Dubna 141980, Moscow Region, Russia
来源：
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2006年 / 45卷 / 01期
关键词：
quantum mechanics; uncertainty relation; density matrix;
D O I：
10.1007/s10773-005-9013-z
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Cauchy inequality (CI) relates scalar products of two vectors and their norms. I point out other similar inequalities (SI). Starting with CI Schroedinger (1930) derived his uncertainty relation (UR). By using SI other various UR can be obtained. It is shown that they follow from the Schroedinger UR. Two generalizations of CI are obtained for mixed states described by density matrices. Using them two generalizations of UR for mixed states are derived. Both differ from the UR generalization known in the literature. The discussion of these generalizations is given.
引用
收藏
页码：147 / 157
页数：11
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