光学学报, 1985, 5 (9): 804, 网络出版: 2011-09-16
压缩算符的新形式与压缩态的各种表示和性质
A new formalism of the squeeze operator and various representations and properties of the squeezed state
摘要
本文采用正规乘积下积分法找到了压缩算符的新形式。在此基础上深入地研究了压缩态形成的本质,导出压缩态的各种表示和性质,证明了压缩态是准粒子空间中的相干态,推导出压缩态与坐标本征态和动量本征态的转换关系,计算了压缩态的Wigner分布函数。
Abstract
A new formalism of the squeeze operator has been found by integration within normal ordered products. Based on this formalism, the essence of the formation of the squeezed state can be revealed directly and clearly. Various representations and properties of the squeezed state can be derived easily. It has been proved that the squeezed state is a coherent one in the quasiparticle space. The transformation relationship between squeezed states and eigenstates of both coordinate and momentum operators are presented. Also presented is the Wigner distribution function of the Squeezed state.
范洪义, 郭光灿. 压缩算符的新形式与压缩态的各种表示和性质[J]. 光学学报, 1985, 5(9): 804. FAN HONGYI, GUO GUANGCAN. A new formalism of the squeeze operator and various representations and properties of the squeezed state[J]. Acta Optica Sinica, 1985, 5(9): 804.