共振Kuiper带天体轨道稳定性的数值模拟

对当前观测到的具有可靠轨道根数的共振Kuiper带天体的轨道未来演化进行数值模拟发现,它们的轨道在一亿年的时间演化中具有相对稳定性,即仍处于各自的共振区中,但稳定程度不同,且共振天体的轨道稳定性和其初始轨道半长径、偏心率和倾角有关.根据其轨道半长径、偏心率和倾角随时间的演化行为,这些共振天体可以分为具有"规则轨道"和"混沌轨道"两种类型.     

几类有心力场轨道稳定性的判据

本文通过将比耐公式变分得到的“轨道相图”，分析有心力场轨道的稳定性，得到了如下几种情况轨道稳定性的统一判据：（１）一般有心力场中以力心为中心的圆形轨道；（２）平方反比力场中的各类轨道；（３）立方反比力场中的各类轨道；（４）平方反比和立方反比力场叠加的有心力场中的各类轨道，据此可以十分简捷地解决上述几种情况下的轨道稳定性问题。     

一维自旋-轨道模型中的畴状轨道液体态

研究了一个一维可解自旋-轨道模型.在大自旋极限下，自旋自由度可以近似用经典自旋来描 述.在没有外磁场情形，系统的基态是伊辛自旋反铁磁背景下的轨道液体态.其低能元激发是 类似于spinon的轨道量子.而在有外磁场情形，系统会出现磁通点阵相.同时，磁通将系统分 割成不连通的轨道液体. 关键词： 自旋轨道系统 畴状轨道液体     

利用Sagnac干涉仪实现光子轨道角动量分束器

光子轨道角动量量子态具有高维和光学涡旋特性, 在经典和量子领域展示出了巨大的应用潜力, 目前对其的研究已成为物理学的一个热点. 本实验研究了利用Sagnac干涉仪干涉的方法将具有不同轨道角动量的光束无破坏地分离到不同的路径, 即实现光子轨道角动量分束器. 实验中利用此分束器验证了对几种不同轨道角动量态(包含叠加态)的分离, 得到了与理论预期相符的实验结果. 这种对轨道角动量态的区分的方法相比已有的其他区分方法具有较好的稳定性, 而且可用于区分叠加态, 也可以达到单光子水平, 最重要的是实现了不同的轨道角动量本征态无破坏的与路径比特耦合. 这种新方法对高密度通信、量子纠缠、量子保密通信、量子计算与量子信息等方面有着重要的意义.     

Studies of closed orbit correction and slow orbit feedback for the SSRF storage ring

Details of the active ways to suppress Closed Orbit Distortion （COD）, including bending magnet sorting and survey and alignment of the magnets, are discussed based on the studies of affections to the COD by the bending magnet field error and the misalignment of quadrupoles. The closed orbit correction and the Slow Orbit Feed Back （SOFB） system for the SSRF storage ring are presented in this paper. With these available methods, better results were obtained during the commissioning period with 3 GeV beam energy.     

形似·解异·质同

物体在竖直平面内做圆周运动问题是高中物理的重点和难点之一,教学中往往用基本模型总结这类问题的规律与特点.     

CSRm闭轨畸变及其校正的模拟研究

在给定的磁铁安装误差和磁场加工误差的条件下,对兰州重离子加速器冷却储存环主环的闭轨畸变及其校正进行了计算机模拟研究,在典型的误差分布下,校正前的水平方向及垂直方向的最大闭轨畸变分别为3.08mm和2.73mm,校正模拟的结果显示CSRm的闭轨畸变可以控制在足够小的范围内.     

合肥光源电子储存环束流闭轨的局部校正

在合肥同步辐射装置运行过程中，发生储存环的束流轨道偏移。利用现有设备对束流闭轨的位置进行了多次测量和分析，利用测量数据计算得到校正铁强度与束流位置之间移动的响应矩阵，并利用最小二乘法计算得到三个校正铁凸轨系数，用于束流闭轨的局部凸轨校正，取得了预期的效果。     

Studies of closed orbit correction and slow orbit feedback for the SSRF storage ring

Details of the active ways to suppress Closed Orbit Distortion (COD), including bending magnet sorting and survey and alignment of the magnets, are discussed based on the studies of affections to the COD by the bending magnet field error and the misalignment of quadrupoles. The closed orbit correction and the Slow Orbit Feed Back (SOFB) system for the SSRF storage ring are presented in this paper. With these available methods, better results were obtained during the commissioning period with 3 GeV beam energy.     

平行电磁场中H-光剥离电子轨道分岔现象的研究

当改变能量、位置或场强等参数时,电磁场中里德堡态的原子、分子和离子等体系将出现分岔现象,从而导致波函数在分岔点附近发散,半经典闭合轨道理论不再适用.本文分析并计算了平行电磁场中H-光剥离电子轨道的分岔现象,并采用统一近似的方法进行定域修正,从而消除了分岔点的奇异性,得到了合理的光剥离电子流的分布.     

周期轨迹与不可积体系的量子化：Henon-Heiles体系的一个研究例子

研究了两个振子耦合的Henon-Heiles体系的周期轨迹与量子化问题.结果表明，周期轨迹的 作用量积分与体系的能量有着简单的线性关系.可以利用那些是整数值的周期轨迹的作用量 积分对不可积体系进行半经典量子化.由周期轨迹的物理内涵出发，揭示混沌体系的残余周 期轨迹具有与量子化有关的性质.这对于认识和理解经典力学与量子体系的联系关系及其物 理内涵有着深刻而重要的意义. 关键词： 周期轨迹 半经典量子化 混沌     

The orbit space of the action of gauge transformation group on connections

The behaviour of orbits of the action of the group of smooth gauge transformations on connections for a principal bundle P(M, G) is discussed with and without compactness assumption on M and G. In the case of compact M and with suitable conditions on G a stratification structure for the space of orbits is established. A natural tame weak Riemannian metric is given on each stratum.     

Determination of the exact range of the value of the parameter corresponding to chaos based on the Silnikov criterion

Based on the Silnikov criterion,this paper studies a chaotic system of cubic polynomial ordinary differential equations in three dimensions.Using the Cardano formula,it obtains the exact range of the value of the parameter corresponding to chaos by means of the centre manifold theory and the method of multiple scales combined with Floque theory.By calculating the manifold near the equilibrium point,the series expression of the homoclinic orbit is also obtained.The space trajectory and Lyapunov exponent are investigated via numerical simulation,which shows that there is a route to chaos through period-doubling bifurcation and that chaotic attractors exist in the system.The results obtained here mean that chaos occurred in the exact range given in this paper.Numerical simulations also verify the analytical results.     

The closed-orbit and the photoabsorption spectra of the Rydberg hydrogen atom between two parallel metallic surfaces

Using the closed orbit theory, we study the classical motion and calculatethe photoabsorption spectra of Rydberg hydrogen atom between two parallel metallic surfaces. The results show that the metallic surfaces have a significant effect on the photoabsorption process. When the distances between the hydrogen atom and the two metallic surfaces are close to a critical value dc, the number of the closed orbits is the greatest. When the distance larger or smaller than dc, the number of the closed orbits decreases and the absorption spectra are shown to exhibit a damping oscillation. This work is an interesting new application of closed-orbit theory and is of potential experimental interest.     

Preliminary study of residual orbit oscillation in BEPC Ⅱ

BEPCⅡ has two rings each with an injection system.The injection system of each ring consists of two kicker magnets and a septum magnet.The injection layout of two rings is the same.Both two kickers would kick the beam in horizontal plane.The betatron phase advance in the horizontal plane between two kickers is designed exactly 180° in order to reduce the perturbation to the circulating beams during injection.In fact,the residual orbit oscillation will originate because of the existence of a variety of errors.The Librea Electron BPM processor is used to acquire the beam position data in turn-by-turn mode and to analyze the residual orbit oscillation.According to the measurement results,minimization of the residual orbit oscillation can be done by adjusting the peak field strength and trigger timing delay of two kickers.With very small residual orbit oscillation the two beams can keep collision condition during the injection.