基于纠缠态表象和自旋相干态的新复变函数空间  

New Complex Function Space Related to Both Entangled State Representation and Spin Coherent State

作　　者：李兰兰 张科 余海军 杜建明 范洪义[2] LI Lan-lan;ZHANG Ke;YU Hai-jun;DU Jian-ming;FAN Hong-yi(School of Electronic Engineering,Huainan Normal University,Huainan 232038,China;Department of MaterialScience and Engineering,University of Science and Technology of China,Hefei 230026,China)

机构地区：[1]淮南师范学院电子工程学院,安徽淮南232038 [2]中国科学技术大学材料科学与工程系,安徽合肥230026

出　　处：《量子光学学报》2020年第1期7-13,共7页Journal of Quantum Optics

基　　金：淮南师范学院重点项目(2019XJZD04);国家自然科学基金项目(11775208)。

摘　　要：本文利用有序算符内的积分(IWOP)技术,构造了一个基于单变量厄米多项式H2j(ξ*+τξ/2√τ)的新复变函数空间,该空间与纠缠态表象及施温格玻色环境下的自旋相干态有关。推导出了包含二元厄米多项式的二项式定理,有助于构造新的复变函数空间。同时还提出了一种新的基于H2j(ξ*+τξ/2√τ)的积分变换及其逆变换,这对于推导某些算符恒等式是很有用的。A new complex function space whose basis is the single-variable Hermite polynomial H2j(ξ*+τξ/2√τ) is constructed,which is related to both entangled state representation and spin coherent state in Schwinger bosonic realization.New binomial theorem involving two-variable Hermite polynomial is derived,which helps to constitute the new complex function space.We also present a new integration transformation of the basis H2j(ξ*+τξ/2√τ) with its reciprocal transformation which is useful to deriving some operator identities.

关 键 词：有序算符内的积分技术 自旋相干态 纠缠态表象 复变函数空间 

分 类 号：O431[机械工程—光学工程]