A new method of moving asymptotes for large-scale linearly equality-constrained minimization

A new method of moving asymptotes for large-scale minimization subject to linear equality constraints is discussed.In this method,linear equality constraints are deleted with null space technique and the descending direction is obtained by solving a convex separable subproblem of moving asymptotes in each iteration. New rules for controlling the asymptotes parameters are designed and the global convergence of the method under some reasonable conditions is established and proved.The numerical results show that the new method may be capable of processing some large scale problems.     

Eavesdropping on Quantum Secure Direct Communication with W State in Noisy Channel

Security of the quantum secure direct communication protocol （i.e., the C-S QSDC protocol） recently proposed by Cao and Song [Chin. Phys. Lett. 23 （2006） 290] is analyzed in the case of considerable quantum channel noise. The eavesdropping scheme is presented, which reveals that the C-S QSDC protocol is not secure if the quantum bit error rate （QBER） caused by quantum channel noise is higher than 4.17%. Our eavesdropping scheme induces about 4.17% QBER for those check qubits. However, such QBER can be hidden in the counterpart induced by the noisy quantum channel if the eavesdropper Eve replaces the original noisy channel by an ideal one. Furthermore, if the QBER induced by quantum channel noise is lower than 4.17%, then in the eavesdropping scheme Eve still can eavesdrop part of the secret messages by safely attacking a fraction of the transmitted qubits. Finally, an improvement on the C-S QSDC protocol is put forward.     

液体中的声处理应用和声空化工程

1引言 声波在好几个方面有它广泛不可替代的用途，像声通讯、声检测、控制声、声控制等。在几个方面的用途中有声处理一项，这时利用了声的能量。本文只讨论液体中的声处理应用。在长时期的实验室试验中它显示了，并且继续在显示，强大的潜力，但比较奇特的是，这么大量的实验室成果，只有很少数转化为生产力。本文强调转化为生产力的有利性和紧迫性。本文并且指出，液体中声处理的基本机理多是声空化，因此，分析研究在液体中大规模或生产化声处理时声空化的特征和行为，     

InxGa1-xN薄膜的弯曲因子及斯托克斯移动研究

采用常压金属有机化学汽相沉积(MOCVD)技术以Al2O3为衬底在GaN膜上生长了InxGa1-xN薄膜。以卢瑟福背散射／沟道技术、光透射谱、光致发光光谱对InxGa1-xN／GaN／AI2O3样品进行了测试。研究了InxGa1-xN薄膜的弯曲因子及斯托克斯移动。结果表明，采用光透射谱、光致发光光谱得到的InxGa1-xN薄膜的禁带宽度一致，InxGa1-xN薄膜并不存在斯托克斯移动。InxGa1-xN薄膜的In组分分别为0．04，0．06，0．24，0．26时，其弯曲因子分别为3．40,2．36，1．82，3．70。随In组分变化。InxGa1-xN薄膜的弯曲因子的变化并没有一定的规律，表明InxGa1-xN薄膜的禁带宽度随In组分的变化关系复杂。     

地球磁场的物理问题

地磁学的发展经历了两千多年的历史，文章回顾了这一漫长历史的四个主要阶段，对每一阶段研究的基本物理问题和主要进展做了简要概述．地磁场的空间分布、地磁场起源、地磁场长期变化和西向漂移、磁极移动和极性倒转、地磁场与人类生存环境等，是地磁学的基本物理问题．文章还从物理概念、研究现状和地磁学以及相关学科当前存在的问题等几个方面对地磁学未来的发展趋势做了简要的说明．     

概率远程制备多粒子GHZ纠缠态

利用一个(N 1)粒子部分纠缠Greenberger-Home-Zeilinger(GHZ)态作为量子通道,提出了概率远程制备N粒子GHZ态的两个方案.我们考虑了怎样远程制备一个任意的GHZ态,即两个参数α和β都是复数的情况.此外,计算了远程制备总的成功概率和需要的经典信息量.     

Sinusoidal Steady State Analysis on 4H--SiC Buried Channel MOSFETs

With the combined use of the drift-diffusion （DD） model, experiment measured parameters and small-signal sinusoidM steady-state analysis, we extract the Y-parameters for 4H-SiC buried-channel metal oxide semicon- ductor field effect transistors （BCMOSFETs）. Output short-circuit current gain G and Mason＇s invariant U are cMculated for extrapolating unity current gain frequency in the common-source configuration fT and the maximum frequency of oscillation fmax, respectively. Here fT = 800 MHz and fmax= 5 GHz are extracted for the 4H-SiC BCMOSFETs, while the field effect mobility reaches its peak value 87cm2/Vs when VGs = 4.5 V. Simulation results clearly show that the characteristic frequency of 4H-SiC BCMOSFETs and field effect mobility are superior, due to the novel structure, compared with conventional MOSFETs.     

Forcible-Measurement Attack on Quantum Secure Direct Communication Protocol with Cluster State

The security of the quantum secure direct communication （QSDC） protocol with cluster state is analysed. It is shown that the secret would be partially leaked out when an eavesdropper performs forcible measurements on the transmitted particles. With the help of the result in minimum error discrimination, an upper bound （i.e. 40%） of this leakage is obtained. Moreover, the particular measurements which makes the leakage reach this bound are given.     

Quantum Secure Direct Communication Based on Authentication

We propose two schemes of quantum secure direct communication （QADC） combined ideas of user authentication [Phys. Rev. A 73 （2006） 042305] and direct communication with dense coding [Phys. Rev. A. 68 （2003） 042317]. In these protocols, the privacy of authentication keys and the properties of the EPR pairs not only ensure the realization of identity authentication but also further improve the security of communication, and no secret messages are leaked even if the messages were broken.     

A Geometric Problem and the Hopf Lemma. Ⅱ

Abstract A classical result of A. D. Alexandrov states that a connected compact smooth n-dimensional manifold without boundary, embedded in ℝⁿ⁺¹, and such that its mean curvature is constant, is a sphere. Here we study the problem of symmetry of M in a hyperplane X_n+1 =constant in case M satisfies: for any two points (X′,X_n+1), on M, with , the mean curvature at the first is not greater than that at the second. Symmetry need not always hold, but in this paper, we establish it under some additional conditions. Some variations of the Hopf Lemma are also presented. Several open problems are described. Part I dealt with corresponding one dimensional problems. (Dedicated to the memory of Shiing-Shen Chern) * Partially supported by NSF grant DMS-0401118.