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
收藏
页码：919 / 934
页数：16
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