Let H be a complex Hilbert space of dimension greater than 2, and B（H） denote the Banach algebra of all bounded linear operators on H. For A, B C B（H）, define the binary relation A ≤ B by A＊A = A＊B and AA＊ = A...Let H be a complex Hilbert space of dimension greater than 2, and B（H） denote the Banach algebra of all bounded linear operators on H. For A, B C B（H）, define the binary relation A ≤ B by A＊A = A＊B and AA＊ = AB＊. Then （B（H）, ＂〈.＂） is a partially ordered set and the relation ＂≤＂ is called the star order on B（H）. Denote by Bs（H） the set of all self-adjoint operators in B（H）. In this paper, we first characterize nonlinear continuous bijective maps on Bs（H） which preserve the star order in both directions. We characterize also additive maps （or linear maps） on B（H） （or nest algebras） which are multiplicative at some invertible operator.展开更多
Raman spectra of purified oxygen evolution core complexes (Pd OECC) thin films on silver mirror substrates have been taken over the frequency range of 250-3100 cm -1 by surface enhanced Raman scattering (SERS). B...Raman spectra of purified oxygen evolution core complexes (Pd OECC) thin films on silver mirror substrates have been taken over the frequency range of 250-3100 cm -1 by surface enhanced Raman scattering (SERS). Besides the fundamental frequency modes of β_carotene in Pd OECC, many weak peaks are observed. According to the selection rules of overtone and combination bands, most of them are attributed to the second_order Raman spectra of β_carotene. Compared with the SERS of normal Pd OECC, the SERS of Pd OECC after strong illumination shows a decrease in scattering intensity and an increase in line widths, indicating changes of conformation and micro_environment of β_carotene. The results of SERS are consistent with the changes of absorption spectrum of Pd OECC induced by strong illumination. There are no changes that can be ascribed to new vibration bands, so it is deduced that Pd OECC on the silver mirror is identical to that in the solution. In summary, SERS proved a good method to study the photodamage mechanism of photosynthesis.展开更多
Consider the motion of immersed hypersurfaces driven by surface diffusion flow and give anlower bound on the life span of a smooth immersed solution, which depends only on how muchthe curvature of the initial surface ...Consider the motion of immersed hypersurfaces driven by surface diffusion flow and give anlower bound on the life span of a smooth immersed solution, which depends only on how muchthe curvature of the initial surface is concentrated in space.展开更多
The pulse amplification in the dispersion-decreasing fiber （DDF） is investigated via symbolic computation to solve the variable-coefficient higher-order nonlinear Schrfdinger equation with the effects of third-order...The pulse amplification in the dispersion-decreasing fiber （DDF） is investigated via symbolic computation to solve the variable-coefficient higher-order nonlinear Schrfdinger equation with the effects of third-order dispersion, self-steepening, and stimulated Raman scattering. The analytic one-soliton solution of this model is obtained with a set of parametric conditions. Based on this solution, the fundamental soliton is shown to be amplified in the DDF. The comparison of the amplitude of pulses for different dispersion profiles of the DDF is also performed through the graphical analysis. The results of this paper would be of certain value to the study of signal amplification and pulse compression.展开更多
为了实现逆变器在电网电压不平衡时的控制并网,提高锁相环节的速度和精度,本文基于二阶广义积分器(second order generalized integrator,SOGI),提出一种新型的2倍频锁相方法,该方法对不平衡电网电压产生的2倍频交流量进行锁相,从而快...为了实现逆变器在电网电压不平衡时的控制并网,提高锁相环节的速度和精度,本文基于二阶广义积分器(second order generalized integrator,SOGI),提出一种新型的2倍频锁相方法,该方法对不平衡电网电压产生的2倍频交流量进行锁相,从而快速准确地实现与电网同步。介绍了2倍频正负序交流量提取方法,2倍频锁相工作原理及电网同步锁相过程。优化了SOGI正交发生器(SOGI-quadrature signal generator,SOGI-QSG),消除了输入电压直流偏置对其输出产生的影响。在电网电压不平衡条件下对所提方法进行了仿真与实验,验证了该锁相方法的有效性。与传统基波锁相方法相比,所提方法提高了对电网电压正序分量检测的快速性和准确性。展开更多
基金Supported by National Natural Science Foundation of China （Grant Nos. 10871111, 10501029） and the Specialized Research Fund for Doctoral Program of Higher Education （Grant No. 200800030059）
文摘Let H be a complex Hilbert space of dimension greater than 2, and B（H） denote the Banach algebra of all bounded linear operators on H. For A, B C B（H）, define the binary relation A ≤ B by A＊A = A＊B and AA＊ = AB＊. Then （B（H）, ＂〈.＂） is a partially ordered set and the relation ＂≤＂ is called the star order on B（H）. Denote by Bs（H） the set of all self-adjoint operators in B（H）. In this paper, we first characterize nonlinear continuous bijective maps on Bs（H） which preserve the star order in both directions. We characterize also additive maps （or linear maps） on B（H） （or nest algebras） which are multiplicative at some invertible operator.
基金The State Key Basic Research and Developmental Plan(G1998010100).
文摘Raman spectra of purified oxygen evolution core complexes (Pd OECC) thin films on silver mirror substrates have been taken over the frequency range of 250-3100 cm -1 by surface enhanced Raman scattering (SERS). Besides the fundamental frequency modes of β_carotene in Pd OECC, many weak peaks are observed. According to the selection rules of overtone and combination bands, most of them are attributed to the second_order Raman spectra of β_carotene. Compared with the SERS of normal Pd OECC, the SERS of Pd OECC after strong illumination shows a decrease in scattering intensity and an increase in line widths, indicating changes of conformation and micro_environment of β_carotene. The results of SERS are consistent with the changes of absorption spectrum of Pd OECC induced by strong illumination. There are no changes that can be ascribed to new vibration bands, so it is deduced that Pd OECC on the silver mirror is identical to that in the solution. In summary, SERS proved a good method to study the photodamage mechanism of photosynthesis.
基金Project supported by the National Natural Science Foundation of China(No.10071067)and the Jiangsu Provincial Natural Science Foundation of China.
文摘Consider the motion of immersed hypersurfaces driven by surface diffusion flow and give anlower bound on the life span of a smooth immersed solution, which depends only on how muchthe curvature of the initial surface is concentrated in space.
基金Supported by the National Natural Science Foundation of China under Grant No.60772023the Open Fund of the State Key Laboratory of Software Development Environment under Grant No.BUAA-SKLSDE-09KF-04+3 种基金Beijing University of Aeronautics and Astronauticsthe National Basic Research Program of China (973 Program) under Grant No.2005CB321901the Specialized Research Fund for the Doctoral Program of Higher Education under Grant Nos.20060006024 and 20080013006Chinese Ministry of Education
文摘The pulse amplification in the dispersion-decreasing fiber （DDF） is investigated via symbolic computation to solve the variable-coefficient higher-order nonlinear Schrfdinger equation with the effects of third-order dispersion, self-steepening, and stimulated Raman scattering. The analytic one-soliton solution of this model is obtained with a set of parametric conditions. Based on this solution, the fundamental soliton is shown to be amplified in the DDF. The comparison of the amplitude of pulses for different dispersion profiles of the DDF is also performed through the graphical analysis. The results of this paper would be of certain value to the study of signal amplification and pulse compression.
文摘为了实现逆变器在电网电压不平衡时的控制并网,提高锁相环节的速度和精度,本文基于二阶广义积分器(second order generalized integrator,SOGI),提出一种新型的2倍频锁相方法,该方法对不平衡电网电压产生的2倍频交流量进行锁相,从而快速准确地实现与电网同步。介绍了2倍频正负序交流量提取方法,2倍频锁相工作原理及电网同步锁相过程。优化了SOGI正交发生器(SOGI-quadrature signal generator,SOGI-QSG),消除了输入电压直流偏置对其输出产生的影响。在电网电压不平衡条件下对所提方法进行了仿真与实验,验证了该锁相方法的有效性。与传统基波锁相方法相比,所提方法提高了对电网电压正序分量检测的快速性和准确性。
