| 基于纠缠态表象和自旋相干态的新复变函数空间 |
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| 引用本文： | 李兰兰,张科,余海军,杜建明,范洪义.基于纠缠态表象和自旋相干态的新复变函数空间[J].量子光学学报,2020,26(1):7-13. |
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| 作者姓名： | 李兰兰 张科 余海军 杜建明 范洪义 |
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| 作者单位： | 淮南师范学院电子工程学院,安徽淮南232038;中国科学技术大学材料科学与工程系,安徽合肥230026 |
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| 基金项目： | 江苏农牧科技职业学院重点项目;国家自然科学基金 |
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| 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。
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| 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 |
New Complex Function Space Related to Both Entangled State Representation and Spin Coherent State |
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| LI Lan-lan,ZHANG Ke,YU Hai-jun,DU Jian-ming,FAN Hong-yi.New Complex Function Space Related to Both Entangled State Representation and Spin Coherent State[J].Acta Sinica Quantum Optica,2020,26(1):7-13. |
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| Authors: | LI Lan-lan ZHANG Ke YU Hai-jun DU Jian-ming FAN Hong-yi |
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| Institution: | (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) |
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| Abstract: | 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. |
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| Keywords: | IWOP spin coherent state entangled state representation complex function space |
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