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(Faculty of Science, Jiangsu University)

机构地区：Faculty of Science,Jiangsu University,Zhenjiang 212013,China

出　　处：《Chinese Physics B》2018年第9期301-305,共5页中国物理B（英文版）

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)

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.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.

关 键 词：induced entangled state representation entangled fractional squeezing transform fractional squeezing-Hankel transform 

分 类 号：O413.1[理学—理论物理]