From the Weyl quantization of a particle on the circle to number-phase Wigner functions

被引：10

作者：

Przanowski, Maciej ^{[1
]}

Brzykcy, Przemyslaw ^{[1
]}

Tosiek, Jaromir ^{[1
]}

机构：

[1] Tech Univ Lodz, Inst Phys, PL-90924 Lodz, Poland

来源：

ANNALS OF PHYSICS | 2014年 / 351卷

关键词：

Quantum phase; Number-phase Wigner function; QUANTUM-MECHANICS; ANGLE VARIABLES; HILBERT-SPACE; POV MEASURES; OPERATORS; FORMALISM; DISCRETE; FIELD; RADIATION; CYLINDER;

D O I：

10.1016/j.aop.2014.10.011

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A generalized Weyl quantization formalism for a particle on the circle is shown to supply an effective method for defining the number-phase Wigner function in quantum optics. A Wigner function for the state (Q) over cap and the kernel K for a particle on the circle is defined and its properties are analysed. Then it is shown how this Wigner function can be easily modified to give the number-phase Wigner function in quantum optics. Some examples of such number-phase Wigner functions are considered. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：919 / 934

页数：16

共 50 条

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