Fractional squeezing-Hankel transform based on the induced entangled state representations

作     者：Cui-Hong Lv Su-Qing Zhang and Wen Xu 吕翠红;张苏青;许雯

作者机构：Faculty of ScienceJiangsu UniversityZhenjiang 212013China 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2018年第27卷第9期

页      面：301-305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：Project supported by the National Natural Science Foundation of China(Grant No.11304126) the Natural Science Foundation of Jiangsu Province,China(Grant No.BK20130532) 

主　　题：induced entangled state representation entangled fractional squeezing transform fractional squeezing-Hankel transform 

摘      要：Based on the fact that the quantum mechanical version of Hankel transform kernel（the Bessel function） is just the transform between ｜q, r〉 and（s, r′｜, two induced entangled state representations are given, and working with them we derive fractional squeezing-Hankel transform（FrSHT） caused by the operator e（-iα）（a1-a-2-＋a-1a-2）e-（-iπa2-a2）, which is an entangled fractional squeezing transform operator. The additive rule of the FrSHT can be explicitly proved.