Time evolution of angular momentum coherent state derived by virtue of entangled state representation and a new binomial theorem

作     者：Ji-Suo Wang Xiang-Guo Meng Hong-Yi Fan 王继锁;孟祥国;范洪义

作者机构：Shandong Provincial Key Laboratory of Laser Polarization and Information TechnologyCollege of Physics and EngineeringQufu Normal UniversityQufu 273165China Shandong Provincial Key Laboratory of Optical Communication Science and TechnologySchool of Physical Science and Information EngineeringLiaocheng UniversityLiaocheng 252059China Department of Material Science and EngineeringUniversity of Science and Technology of ChinaHefei 230026China 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2019年第28卷第10期

页      面：253-256页

核心收录：

学科分类：07[理学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0704[理学-天文学] 0702[理学-物理学] 

基　　金：Project supported by the National Natural Science Foundation of China(Grant No.11347026) the Natural Science Foundation of Shandong Province,China(Grant Nos.ZR2016AM03 and ZR2017MA011) 

主　　题：invariance of angular momentum coherent state entangled state representation new binomial theorem time evolution 

摘      要：We study how can an angular momentum coherent state |τ keeps its form-invariant during time evolution governed by the Hamiltonian H = f(t)J++ f^*(t)J-+ g(t)Jz. We discuss this topic in the context of boson realization of |τ. By employing the entangled state representation |ζ and deriving a new binomial theorem involving two-subscript Hermite polynomials, we derive the wave function , which turns out to be a single-subscript Hermite polynomial. Based on this result the maintenance of angular momentum coherent state during time evolution is examined, and the value of τ(t) is totally determined by the parameters involved in the Hamiltonian.