Fractional squeezing-Hankel transform based on the induced entangled state representations
Cui-hong Lv, Su-Qing Zhang, Wen Xu
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 − i α ( a 1 † a 2 † + a 1 a 2 ) e − i π a 2 † a 2 , which is an entangled fractional squeezing transform operator. The additive rule of the FrSHT can be explicitly proved.
Chinese Physics B•Sep 1, 2018•1 citation