Canonical transformations in quantum mechanics

被引：11

作者：

Blaszak, Maciej ^{[1
]}

Domanski, Ziemowit ^{[1
]}

机构：

[1] Adam Mickiewicz Univ, Fac Phys, PL-61614 Poznan, Poland

来源：

ANNALS OF PHYSICS | 2013年 / 331卷

关键词：

Quantum mechanics; Deformation quantization; Canonical transformations; Moyal product; Phase space; WIGNER DISTRIBUTION-FUNCTIONS; ANGLE VARIABLES; REPRESENTATIONS; STATES; QUANTIZATION;

D O I：

10.1016/j.aop.2012.12.006

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper presents the general theory of canonical transformations of coordinates in quantum mechanics. First, the theory is developed in the formalism of phase space quantum mechanics. It is shown that by transforming a star-product, when passing to a new coordinate system, observables and states transform as in classical mechanics, i.e., by composing them with a transformation of coordinates. Then the developed formalism of coordinate transformations is transferred to a standard formulation of quantum mechanics. In addition, the developed theory is illustrated on examples of particular classes of quantum canonical transformations. (c) 2012 Elsevier Inc. All rights reserved.

引用

页码：70 / 96

页数：27

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