Electromagnetically induced transparency and evolution of a two-level system under chaotic field of arbitrary intensity

The electromagnetically induced transparency (EIT) with a (near-)resonant chaotic (amplitude-phase fluctuating, Gaussian-Markovian) coupling field is studied theoretically. The Fourier transform of the steady-state EIT spectrum, which determines a nonstationary probe absorption, is also considered. This quantity equals the average diagonal element of the (reduced) evolution operator of the coupled transition (the evolution function). The exact solution in the form of a continued fraction is obtained and used to perform numerical calculations. Moreover, a number of approximate analytical results are obtained, which, together with the results of previous publications, describe the EIT and the evolution function in all possible regimes. In particular, in the constructive-interference case the EIT increases with the coupling-field bandwidth ν at sufficiently small ν. For a strong field, the maximum of the transparency as a function of ν is less than that for a monochromatic field of the same average intensity. In contrast, for a weak field, there is a range of ν values, where the field fluctuations do not affect the EIT. The latter result is shown to hold for a broad class of stochastic fields. Received 31 December 2000 and Received in final form 14 May 2001     

新概念晶体提拉方法及其可能的应用简介

介绍了一种利用金属材料的热膨胀而产生的位移代替传统的机械电机提拉晶体的新方法,可以预见这种新型提拉方法既可以消除晶体提拉过程中由于拉速的不平滑而引进的晶体生长条纹,同时也可以作为研究晶体生长机理的有力工具,另一方面,该方法可以用来提拉这样的一灰晶体,这种晶体溶质的浓度周期地分布于其中,且其周期远小于用机械电机所提拉的晶体溶质浓度的周期,同时,另一种新颖的控温方式被首次提出,即先把金属棒加热膨胀至一定的长度再冷却使之收缩,由于这种控温方式温度波动极端微小,使得金属棒收缩所产生的位移随时间的变化率达到微观的平滑极限。     

用改进的格点哈密顿量计算2+1维QCD 0++胶球质量

用改进的格点哈密顿量和截断本征方程法计算2＋1维QCD 0^ 胶球质量,结果显示较好的标度行为。     

The Manifold-Valued Dirichlet Problem for Symmetric Diffusions

Harmonic maps between two Riemannian manifolds M and N are often constructed as energy minimizing maps. This construction is extended for the Dirichlet problem to the case where the Riemannian energy functional on M is replaced by a more general Dirichlet form. We obtain weakly harmonic maps and prove that these maps send the diffusion to N-valued martingales. The basic tools are the reflected Dirichlet space and the stochastic calculus for Dirichlet processes.     

An analysis of Taguchi's on‐line quality monitoring procedure for attributes with diagnosis errors

The on‐line quality monitoring procedure for attributes proposed by Taguchi, Elsayed and Hsiang for processes in which the fraction defective shifts from 0 at some point are examined under the assumption of diagnosis errors. The renewal reward (economic) approach of Nayebpour and Woodall is used to develop a mathematical expression for the long‐run expected cost per item produced and assessment of the optimum inspection interval is discussed. Copyright © 2001 John Wiley & Sons, Ltd.     

透明管径及管厚的CCD成像在线测量方法

应用光线透过透明管径的折射规律,提出线阵CCD成像在线测量透明管状外径及壁厚的新方法。该方法用计算机进行模拟导出了数理模型。实验证明了这一方法的可行性,为透明管状产品的批量生产、高速、动态、非接触实时在线测量提供了一条新的技术途径。     

ADAPTIVE CONTROL AND IDENTIFICATION OF CHAOTIC SYSTEMS

A novel adaptive control and identification on-line method is proposed for a class of chaotic system with uncertain parameters. We prove that, using the presented method, a controller and identifier is developed which can remove chaos in nonlinear systems and make the system asymptotically stabilizing to an arbitrarily desired smooth orbit. And at the same time, estimates to uncertain parameters converge to their true values. The advantage of our method over the existing result is that the controller and identifier is directly constructed by analytic formula without knowing unknown bounds about uncertain parameters in advance. A computer simulation example is given to validate the proposed approach.     

基金与基金组合投资

本根据组合证券投资理论了基金的投资原理,建立了基金管理决策模型与基金组合投资决策模型,并进行了静态分析和动态分析。     

Sequential Convergences on Boolean Algebras Defined by Systems of Maximal Filters

We study sequential convergences defined on a Boolean algebra by systems of maximal filters. We describe the order properties of the system of all such convergences. We introduce the category of 2-generated convergence Boolean algebras and generalize the construction of Novak sequential envelope to such algebras.     

Reduction of Time-Dependent Systems Admitting a Superposition Principle

The problem of differential equation systems admitting a nonlinear superposition principle is analyzed from a geometric perspective. We show how it is possible to reduce the problem of finding the general solution of such a differential equation system defined by a Lie group G to a pair of simpler problems, one in a subgroup H and the other on a homogeneous space. The theory is illustrated with several examples and applications.