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BRST quantization and canonical Ward identity of the supersymmetric electromagnetic interaction system

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Science china(physics,Mechanics & Astronomy) 2007年第3期50卷 339-347页

作者： HUANG YongChang1,3,4, JIANG YunGuo1 & LI xinguo2,3 1 institute of Theoretical physics, College of applied Sciences, beijing University of technology, beijing 100022, china 2 institute of Modern physics, Chinese Academy of Sciences, Lanzhou 730000, china 3 Center of Theoretical Nuclear physics, National Laboratory of Heavy Ion Collisions, Chinese Academy of Sciences, Lanzhou 730000, china 4 china Center of Advanced Science and technology (World Laboratory), beijing 100080, china institute of Theoretical physics College of Applied Sciences Beijing University of Technology Beijing China Center of Theoretical Nuclear physics National Laboratory of Heavy Ion Collisions Chinese Academy of Sciences Lanzhou China china Center of Advanced Science and technology (World Laboratory) Beijing China institute of Modern physics Chinese Academy of Sciences Lanzhou China

According to the method of path integral quantization for the canonical constrained system in Becchi-Rouet-Stora-Tyutin scheme, the supersymmetric electromagnetic interaction system was quantized. Both the Hamiltonian of the supersymmetric electromagnetic interaction system in phase space and the quantization procedure were simplified. The BRST generator was constructed, and the BRST transforma- tions of supersymmetric fields were gotten; the effective action was calculated, and the generating functional for the Green function was achieved; also, the gauge generator was constructed, and the gauge transformation of the system was ob- tained. Finally, the Ward-Takahashi identities based on the canonical Noether theorem were calculated, and two relations between proper vertices and propaga- tors were obtained.

关键词： supersymmetric electromagnetic interaction BRST quantization Ward identity

On the Asymptotic Behavior of Nonlinear Schrodinger Equations with Magnetic Effect

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Acta Mathematica Sinica,English Series 1995年第2期11卷 179-187页

作者： Guo Boling Tan Shaobin institute of applied physics and Computational Mathematics Academia Sinica beijing, 100088 china Academia Sinica

The purpose of this paper is to study the long time asymptotic behavior for a nonlinear Schrdinger equations with magnetic effect. Under certain conditions, we prove the existence and nonexistence of the non-trivial f... 详细信息

关键词： Math On the Asymptotic Behavior of Nonlinear Schrodinger Equations with Magnetic Effect

A fiducial argument for generalized p-value

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Science china Mathematics 2007年第7期50卷 957-966页

作者： Xin-min LI~(1+) xing-zhong XU~2 Guo-ying LI~3 1 institute of applied Mathematics,Shandong University of technology,Zibo 255049,china 2 Department of Mathematics,beijing institute of technology,beijing 100801,china 3 Academy of Mathematics and Systems Science,Chinese Academy of Sciences,beijing 100800,china institute of applied Mathematics Shandong University of Technology Zibo China Department of Mathematics Beijing Institute of Technology Beijing China Academy of Mathemtics and Systems Science Chinese Academy of Sciences Beijing China

This paper provides a general method for constructing generalized p-value via the fiducial ***,the power properties of the generalized test are *** illustrations, the two-parameter exponential distribution and unbalan... 详细信息

关键词： fiducial distribution generalized p-value frequency property two-parameter exponential distribution variance component 62F03 62E15

LONG TIME ASYMPTOTIC BEHAVIOR OF SOLUTION OF DIFFERENCE SCHEME FOR A SEMILINEAR PARABOLIC EQUATION (Ⅱ)

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Journal of Computational Mathematics 1998年第5期16卷 571-576页

作者： Hui Feng(Shenzhen University Normal College, Shenzhen 518060, china Laboratorp of Computational physics, institute of applied physics and Computational Mathematics,P.O.Box 8009, beijing 100088, china )Long-jnn Shen(Laboratory of Computational physics, In 深圳大学师范学院广东深圳

In this paper we prove the solution of explicit difference scheme for a semilinear parabolic equation converges to the solution of difference scheme for the relevant nonlinear stationary problem as t→∞. For nonlinear parabolic problem, we obtain the long time asymptotic behavior of its discrete solution which is analogous to that of its continuous solution. For simplicity, we discuss one-dimensional problem.

关键词： Asymptotic behavior Explicit difference scheme Semilinear parabolic equation.

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GENERAL DIFFERENCE SCHEMES WITH INTRINSICPARALLELISM FOR SEMILINEAR PARABOLIC SYSTEMS OFDIVERGENCE TYPE

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Journal of Computational Mathematics 1999年第4期17卷 337-352页

作者： Yu-lin Zhou Guang-wei Yuan(Laboratory of Computational physics, Center of Nonlinear Studies, institute of applied physics and Computational Mathematics, P.O. Box 8009, beijing 100088, china) Laboratory of Computational physics Center of Nonlinear Studies Institute of Applied Physics and Computational Mathematics P.O. Box 8009 Beijing 100088 China

In this paper the general finite difference schemes with intrinsic parallelism for the boundary value problem of the semilinear parabolic system of divergence type with bounded coefficients are constructed, and the existence and uniqueness of the difference solution for the general schemes are proved. And the convergence of the solutions of the difference schemes to the generalized solution of the original boundary value problem of the semilinear parabolic system is obtained. The multidimensional problems are also studied.

关键词： difference scheme intrinsic parallelism semilinear parabolic system convergence

Segregation and Action of Lanthanum in Ni-Cr-Co-W Alloys

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Journal of Rare Earths 1999年第2期17卷 36-39页

作者： Lin Qingying (Central Iron & Steel Research institute, beijing 100081, china)Zhang Xiulin (applied Science School, University of Science and technology beijing, beijing 100083, china)

The segregation of trace element La in Ni20Cr20Co18W superalloy and its effects were investigated by means of scanning Auger microprobe and scanning electron microscope. The results show that La segregates in grain boundary and carbide phase boundaries under aging condition and decreases carbon content in boundary, and La is combined with impurity elements(S, O and N) to form atomic size film without definite constitution. The segregation of La decreases the rate of carbide growth and increases dispersion of impurity elements. Therefore, creep rupture properties of the alloys are improved obviously.

关键词： Rare earths Lanthanum Superalloy Boundary segregation

A new acid pickling process for copper alloys

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Journal of University of Science and technology beijing 2002年第2期9卷 127-129页

作者： xing Zou, Bo Song, Keming Fang, and Danniang Xu Metallurgy School, University of Science and technology beijing, beijing 100083, china Metallurgy School University of science and Technology Beijing Beijing 100083 China

The cleaning process of removing oxides on the surface of copper alloy sheetswas investigated systematically. Through optimizing, a perfect process was selected that is fit forremoving oxides on the surface. By acid pickling, all kinds of copper oxides are removedcompletely, furthermore, no poisonous gases are given out and a smooth and clean surface of copperalloys is obtained. At present, the process is applied successfully in the copper-processingindustry.

关键词： copper alloy surface processing oxides of copper acid pickling

ON THE COUPLING OF BOUNDARY INTEGRAL AND FINITE ELEMENT METHODS FOR SIGNORINI PROBLEMS

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Journal of Computational Mathematics 1998年第6期16卷 561-570页

作者： Wei-jun Tang Hong-yuan Fu Long-jun Shen(Laboratory of Computational physics, institute of applied physics and Computational Mathematics, P.O. Box 8009, beijing 100088, china) 北京应用物理和计算数学所北京

In this paper, a exterior Signorini problem is reduced to a variational inequality on a bounded inner region with the help of a coupling of boundary integral and finite element methods. We established a equivalence between the original exterior Signorini problem and the variational inequality on the bounded inner region coupled with two integral equations on an auxiliary boundary. We also introduce a finite element approximation of the variational inequality and a boundary element approximation of the integral equations. Furthermore, the optimal error estimates are given.

关键词： boundary element finite element Signorini problems

Needs and challenges of optical atmospheric monitoring on the background of carbon neutrality in china

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Frontiers of Environmental Science & Engineering 2024年第6期18卷 49-62页

作者： Wenqing Liu Chengzhi xing Anhui institute of Optics and Fine Mechanics Hefei Institutes of Physical ScienceChinese Academy of SciencesHefei 23001China

The achievement of the targets of coordinated control of PM2.5 and O3 and the carbon peaking and carbon neutrality depend on the development of pollution and greenhouse gas monitoring *** monitoring technology,based on its technical characteristics of high scalability,high sensitivity and wide-targets detection,has obvious advantages in pollution/greenhouse gases monitoring and has become an important direction in the development of environmental monitoring *** present,a system of environmental optical monitoring technology with differential optical absorption spectroscopy(DOAS),cavity ring-down spectroscopy(CRDS),light detection and ranging(LIDAR),laser heterodyne spectroscopy(LHS),tunable diode laser absorption spectroscopy(TDLAS),fourier transform infrared spectroscopy(FTIR)and fluorescence assay by gas expansion(FAGE)as the main body has been ***,with the promotion of“reduction of pollution and carbon emissions”strategy,there have been significant changes in the sources of pollution/greenhouse gases,emission components and emission concentrations,which have put forward new and higher requirements for the development of monitoring *** the future,we should pay more attention to the development of new optical monitoring techniques and the construction of stereoscopic monitoring system,the interdisciplinarity(among mathematics,physics,chemistry and biology,etc.),and the monitoring of greenhouse gases and research on atmospheric chemistry.

关键词： Pollution Greenhouse gas Optical atmospheric monitoring Needs and challenges