Vrănceanu connections and foliations with bundle-like metrics

We show that the Vrănceanu connection which was initially introduced on non-holonomic manifolds can be used to study the geometry of foliated manifolds. We prove that a foliation is totally geodesic with bundle-like metric if and only if this connection is a metric one. We introduce the notion of a foliated Riemannian manifold of constant transversal Vrănceanu curvature and the notion of a transversal Einstein foliated Riemannian manifold. The geometry of these two classes of manifolds is studied and the relationship between them is determined.     

Some geometric properties of quantum phases and calculation of phase formulas

An introduction to several geometrical ideas which are of use to quantum mechanics is presented. The Aharonov‐Anandan phase is introduced and without reference to any dynamical equation, this phase is formulated by defining an appropriate connection on a specific fiber bundle. The holonomy element gives the phase. By introducing another connection, the Pancharatnam phase formula is derived following a different procedure. © 2008 Wiley Periodicals, Inc. Int J Quantum Chem, 2008     

DYNAMICS IN NEWTONIAN-RIEMANNIAN SPACETIME (Ⅰ)

By the theory of Modern Geometry, the mechanical principle and advanced calculus, the dynamics in Newtonian-Galilean spacetime is generalized to Newtonian-Riemannian Spacetime, and the dynamics in N-R spacetime is established. Being divided it into some parts. This paper is one of them. The others are to be continued. CLC number: 0313.1 Document code: A     

Brownian motion of a polymer-bound colloidal particle

A simple model of Brownian motion of a colloidal particle attached to the flat surface by a polymer thread is presented. The model results are discussed in terms of the measurability of the elastic properties of a linear polymer chain in the dispersion medium by observation of the motion of a colloidal particle connected to a fixed point by the polymer. Received: 11 November 1998 Accepted: 9 December 1998     

Hamiltonian approach to 1 + 1 dimensional Yang-Mills theory in Coulomb gauge

We study the Hamiltonian approach to 1 + 1 dimensional Yang-Mills theory in Coulomb gauge, considering both the pure Coulomb gauge and the gauge where in addition the remaining constant gauge field is restricted to the Cartan algebra. We evaluate the corresponding Faddeev-Popov determinants, resolve Gauss’ law and derive the Hamiltonians, which differ in both gauges due to additional zero modes of the Faddeev-Popov kernel in the pure Coulomb gauge. By Gauss’ law the zero modes of the Faddeev-Popov kernel constrain the physical wave functionals to zero colour charge states. We solve the Schrödinger equation in the pure Coulomb gauge and determine the vacuum wave functional. The gluon and ghost propagators and the static colour Coulomb potential are calculated in the first Gribov region as well as in the fundamental modular region, and Gribov copy effects are studied. We explicitly demonstrate that the Dyson-Schwinger equations do not specify the Gribov region while the propagators and vertices do depend on the Gribov region chosen. In this sense, the Dyson-Schwinger equations alone do not provide the full non-abelian quantum gauge theory, but subsidiary conditions must be required. Implications of Gribov copy effects for lattice calculations of the infrared behaviour of gauge-fixed propagators are discussed. We compute the ghost-gluon vertex and provide a sensible truncation of Dyson-Schwinger equations. Approximations of the variational approach to the 3 + 1 dimensional theory are checked by comparison to the 1 + 1 dimensional case.     

双棒串接Nd3+:YAG激光器

根据测量的单根Nd³⁺:YAG棒的热焦距,利用ABCD传输矩阵计算了双棒串接的几种腔型的稳定参量,给出了能够满足高功率、高稳定性激光输出的稳定腔型,实验结果与理论分析基本相符.     

空间形式中具平行非退化极小截面的曲面

利用文「１」的方法及Ｓｉｍｏｎｓ型公式对空间形式中具有平行非退化极小截面曲面进行了研究,从而将文「１」中一系列定理推广到２＋Ｐ维空间形式中。     

基于图像相关分析的狗骨式钢框架子结构试验节点区变形场测量

为研究狗骨式钢框架子结构节点区域在循环荷载作用下的损伤演化规律,采用图像相关技术对3榀、3层、单跨1/3缩尺的狗骨式钢框架子结构底层节点区域的应变场及变形进行了监测,重点分析了不同循环加载方式作用下狗骨式节点区域的应变场、节点域剪切变形的历程,并与传统测试方法所记录结果进行了对比。研究结果表明,加载方式对狗骨式钢框架子结构节点区域的变形、应变及其损伤程度均有显著影响;图像相关技术可获得节点区域的变形及应变场,较传统测试方法更具优势;测点峰值应变及变形同传统方法测试结果吻合良好。     

基于连接矩阵的潜在通路定性分析方法

对电路图中的电气元件进行定性建模,根据建立的元件模型,按照电流方向将电路图转化为有向图的形式,进而构造出图的连接矩阵,利用其代数余子式计算有向图中从电源正端到地端的所有通路路径,并与该电路图设计的功能支路进行对比确定电路是否存在潜在通路;相比于传统潜在通路分析的邻接矩阵法,该方法不仅能判别电路中是否存在潜在通路,而且能确定潜在通路的所有导通路径信息;在此基础上,提出了改进原始电路图以达到消除潜在通路影响的方法,文中采用某汽车点火电路为例,利用Capital Harness System(CHS)软件仿真分析,验证该方法的正确性与可行性。     

具有旋转连接功能的双层光互连网络设计

在设计的双层光互连网络中,上层网络是星型连接,依靠数字路由结点进行通信.单通道最大传输速率为1.4 Gbps,数字路由结点吞吐率大于10 Gbps,底层为网络接口卡和结点机连成的环形网,峰值传输速率为1.056 Gbps.在底层网络中个别结点机与传感器之间配置有光纤旋转连接器,可传输动态数据.经计算,环网内最大通信延迟时间小于5.292 μs,互连网络的平均通信延迟时间为11.03 μs,环形网络的最大数据传输带宽为50 Mbit/s.