Remarks on the fact that the uncertainty principle does not determine the quantum state

被引：13

作者：

de Gosson, Maurice ^{[1
]}

Luef, Franz ^{[1
]}

机构：

[1] Univ Vienna, Fac Math, A-1090 Vienna, Austria

来源：

PHYSICS LETTERS A | 2007年 / 364卷 / 06期

关键词：

uncertainty principle; mixed states; positivity; Hardy's theorem; quantum blob;

D O I：

10.1016/j.physleta.2006.12.024

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We discuss the relation between density matrices and the uncertainty principle; this allows us to justify and explain a recent statement by Man'ko et al. We thereafter use Hardy's uncertainty principle to prove a new result for Wigner distributions dominated by a Gaussian and we relate this result to the coarse-graining of phase-space by "quantum blobs". (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：453 / 457

页数：5

共 24 条

[1] ON A QUANTUM ALGEBRAIC APPROACH TO A GENERALIZED PHASE-SPACE [J].