In chapter 3 , the degree - preserving polynomials on r ~ ( 2 ) are discussed . with aid of computer algebraic systems , conditions are given to classify polynomials which are degree - preserved . in chapter 4 , the dynamical system in continued fractions , modeled by iteration , and related results on periodicity and chaos are summarized 在本文的第四章中综述了连分数中的动力系统的一些成果,连分数通过迭代可化为一个动力系统模型,通过对该模型的研究,可以进一步认识迭代的复杂性,尤其是蕴藏在其中的周期行为和混沌。
In this thesis , a semi - classical model of the force on an atom is used to describe the motion of a two - level atom interacting with a standing wave laser field . the velocity dependent force and momentum diffusion are derived through optical bloch equations by using the matrix form of the continued fraction technique . by investigating the dynamic properties of atoms in laser field , we can control and manipulate the mechanical motion of an atom 本文利用半经典理论,从二能级原子在激光驻波场中所满足的运动方程出发,推导出密度矩阵元所满足的递推关系,利用矩阵连分数方法求解出密度矩阵元,从而求出依赖于原子运动速度的光压力与动量扩散系数,通过讨论原子在激光场中的动力学行为,为原子在激光场中被囚禁、形成原子列阵以及可控制的量子态,从而为量子信息处理提供理论基础。
连: link; join; connect分数: fraction; fractional number对角连分数: diagonal continued fraction简单连分数: simple continued fraction连分数近似: continued-fraction approximation收敛连分数: convergent continued fraction无尽连分数: non-terminating continued fraction无限连分数: infinite continued fraction循环连分数: periodic continued fraction; recurring chain fraction; recurring continued fraction有尽连分数: terminating continued fraction有限连分数: finite continued fraction正规连分数: normal continued fraction正则连分数: regular continued fraction; simple continued fraction纯循环连分数: pure recurring continued fraction连分数分解法: cfrac简单连分数展开: simple continued fraction expansion无限正则连分数: infinite regular continued fractiont分数: t score; t-score分数: 1.[数学] fraction; fractional number 带分数 mixed number; 繁分数 complex fraction; 假分数 improper fraction; 真分数 proper fraction2.(表示成绩等的数字) mark; grade; point 他在考试中得到好分数。 he attained a good mark in the examination. 他的三角学分数很低。 he received a low mark for trigonometry. 他的学期论文得了个不及格分数。 he received a falling grade on the term paper连分式: continued fraction; fraction对应连分式: corresponding continued fraction互连分析: analysis interconnect; interconnect analysis连分式逼近: continued fraction approximation; continued-fraction approximation再连分部: zai lian branch zailian branch底物粘连分子: substrate adhesion molecule