New 3-mode bosonic operator realization of SU(2) Lie algebra:From the point of view of squeezing  

作　　者：笪诚 陈千帆 范洪义 

机构地区：[1]Department of Material Science and Engineering,University of Science and Technology of China

出　　处：《Chinese Physics B》2014年第9期62-64,共3页中国物理B（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.11175113 and 11275123);the Key Project of Natural Science Fund of Anhui Province,China(Grant No.KJ2013A261)

摘　　要：We consider the quantum mechanical SU（2） transformation e^2λJzJ±e^-2λJz = e^±2λJ±as if the meaning of squeezing with e^±2λ being squeezing parameter. By studying SU（2） operators （J±, Jz） from the point of view of squeezing we find that （J±,Jz） can also be realized in terms of 3-mode bosonic operators. Employing this realization, we find the natural representation （the eigenvectors of J＋ or J-） of the 3-mode squeezing operator e^2λJz. The idea of considering quantum SU（2） transformation as if squeezing is liable for us to obtain the new bosonic operator realization of SU（2） and new squeezing operators.We consider the quantum mechanical SU（2） transformation e^2λJzJ±e^-2λJz = e^±2λJ±as if the meaning of squeezing with e^±2λ being squeezing parameter. By studying SU（2） operators （J±, Jz） from the point of view of squeezing we find that （J±,Jz） can also be realized in terms of 3-mode bosonic operators. Employing this realization, we find the natural representation （the eigenvectors of J＋ or J-） of the 3-mode squeezing operator e^2λJz. The idea of considering quantum SU（2） transformation as if squeezing is liable for us to obtain the new bosonic operator realization of SU（2） and new squeezing operators.

关 键 词：quantum mechanical SU（2） transformation 3-mode squeezing operator new 3-mode bosonic op-erator realization of SU（2） Lie algebra 

分 类 号：O152.5[理学—数学]