The Number-Phase and Position-Momentum Distribution Functions

被引：1

作者：

Kiyuna, Masato ^{[1
]}

Kakazu, Kiyotaka ^{[1
]}

Sakai, Eijiro ^{[1
]}

机构：

[1] Univ Ryukyus, Dept Phys & Earth Sci, Okinawa 9030213, Japan

来源：

PROGRESS OF THEORETICAL PHYSICS | 2009年 / 121卷 / 02期

关键词：

QUANTUM-MECHANICS; NONCOMMUTING OPERATORS; WIGNER FUNCTION; SPACE FORMULATION; CALCULUS; ANGLE;

D O I：

10.1143/PTP.121.217

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present the relationship between the number-phase and position-momentum quantum distribution functions using the extended Liouville space. We also propose an extended Ban's number-phase distribution function in the extended space, and show that the other distribution functions can be expressed in terms of Ban's function. Moreover, two new number-phase distribution functions, the Born-Jordan and the Cohen distribution functions, are given in a unified manner.

引用

页码：217 / 239

页数：23

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