Fractional Fourier Transformation for Quantum Mechanical Wave Functions Studied by Virtue of IWOP Technique

作     者：FANHong－YI FANYue 

作者机构：DepartmentofMaterialScienceandEngineeringUniversityofScienceandTechnologyofchinaHefei230026China DepartmentofPhysicsShanghaijiaoTongUniversityShanghai200030China 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2003年第39卷第4期

页      面：417-420页

核心收录：

学科分类：0809[工学-电子科学与技术（可授工学、理学学位）] 07[理学] 070205[理学-凝聚态物理] 08[工学] 0702[理学-物理学] 

基　　金：国家自然科学基金 中国科学院院长基金 上海交通大学校科研和教改项目 

主　　题：fractional Fourier transformation IWOP technique Weyl ordering 

摘      要：Starting from the optical fractional Fourier transform (FFT) and using the technique of integration withinan ordered product of operators we establish a formalism of FFT for quantum mechanical wave functions. In doing so, theessence of FFT can be seen more clearly, and the FFT of some wave functions can be derived more directly and *** also point out that different FFT integral kernels correspond to different quantum mechanical representations. Theyare generalized FFT. The relationship between the FFT and the rotated Wigner operator is studied by virtue of theWeyl ordered form of the Wigner operator.