Violation of Hudson's theorem in relativistic quantum mechanics

被引：5

作者：

Campos, Andre G. ^{[1
]}

Cabrera, Renan ^{[1
]}

Bondar, Denys I. ^{[1
]}

Rabitz, Herschel A. ^{[1
]}

机构：

[1] Princeton Univ, Dept Chem, Princeton, NJ 08544 USA

来源：

PHYSICAL REVIEW A | 2014年 / 90卷 / 03期

基金：

美国国家科学基金会;

关键词：

WIGNER FUNCTION-APPROACH; PHASE-SPACE; CLASSICAL LIMIT;

D O I：

10.1103/PhysRevA.90.034102

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

In nonrelativistic quantum mechanics, Hudson's theorem states that a Gaussian wave function is the only pure state corresponding to a positive Wigner function (WF). We explicitly construct non-Gaussian Dirac spinors with positive relativistic WFs. These pure relativistic states are coherent superpositions of particles and antiparticles, while the existence of positive WFs exclusive composed of particles is conjectured. These observations may open new directions in relativistic quantum information theory.

引用

页数：4

共 37 条

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