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Transverse Vector Vertex Function and Transverse Ward-Takahashi Relations in QED

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Communications in Theoretical Physics 2006年第1X期46卷 109-112页

作者： HE han-xin China Institute of Atomic Energy P.O. Box 275(18) Beijing 102413 China Institute of Theoretical Physics the Chinese Academy of Sciences Beijing 100080 China

The transverse vector vertex function in momentum space in four-dimensional QED is derived in terms of a set of transverse Ward-Takahashi relations for the vector and the axial-vector vertices in the case of massless fermion. It is demonstrated explicitly that the transverse vector vertex function derived this way to one-loop order leads to the same result as one obtained in perturbation theory. This provides a basic approach to determine the transverse part of basic vertex function from the symmetry relations of the system.

关键词： transverse vertex function transverse Ward-Takahashi relations

Gauge Symmetry and Transverse Symmetry Transformations in Gauge Theories

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Communications in Theoretical Physics 2009年第8期52卷 292-294页

作者： HE han-xin China Institute of Atomic Energy P.O. Box 275（18） Beijing 102413 China

The transverse symmetry transformations associated with the normal symmetry transformations are proposedto build the transverse constraints on the basic vertices in gauge theories.I show that,while the BRST symmetryin non-Abelian gauge theory QCD (Quantum Chromodynamics) leads to the Slavnov-Taylor identity for the quark-gluonvertex which constrains the longitudinal part of the vertex,the transverse symmetry transformation associated with theBRST symmetry enables to derive the transverse Slavnov-Taylor identity for the quark-gluon vertex,which constrainsthe transverse part of the quark-gluon vertex from the gauge symmetry of QCD.

关键词： transverse symmetry transformation transverse Slavnov-Taylor identity quark-gluon vertex

Study on the micro-replication of shark skin

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Science China(Technological Sciences) 2008年第7期51卷 890-896页

作者： han xin ZhanG DeYuan School of Mechanical Engineering and Automation Beihang UniversityBeijing 100083China

Direct replication of creatural scarfskins to form biomimetic surfaces with relatively vivid morphology is a new attempt of the bio-replicated forming technology at animal body. Taking shark skins as the replication templates, and the micro-embossing and micro-molding as the material forming methods, the micro-replicating technology of the outward morphology on shark skins was demonstrated. The preliminary analysis on replication precision indicates that the bio-replicated forming technology can replicate the outward morphology of the shark scales with good precision, which validates the application of the bio-replicated forming technology in the direct morphology replication of the firm creatural scarfskins.

关键词： shark skin biomimetic surface bio-replicated forming micro-replication

Existence of Solutions for a Quasilinear Schr?dinger Equation with Potential Vanishing

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Acta Mathematicae Applicatae Sinica 2023年第3期39卷 696-706页

作者： Yan-fang XUE Jian-xin han xin-cai ZHU School of Mathematics and Statistics Xinyang Normal UniversityHenan 464000China

We study the following quasilinear Schrodinger equation-△u+V(x)u-△(u^(2))u=K(x)g(u),x∈R^(3),where the nonlinearity g(u)is asymptotically cubic at infinity,the potential V(x)may vanish at *** appropriate assumptions... 详细信息

关键词： quasilinear SchrOdinger equation vanishing potential asymptotically cubic mountain pass theorem

A two-grid algorithm based on Newton iteration for the stream function form of the Navier-Stokes equations

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Applied Mathematics(A Journal of Chinese Universities) 2011年第3期26卷 368-378页

作者： SHAO xin-ping han Dan-fu Department of Mathematics Zhejiang University Hangzhou 310027 China

In this paper, we propose a two-grid algorithm for solving the stream function formulation of the stationary Navies-Stokes equations. The algorithm is constructed by reducing the original system to one small, nonlinear system on the coarse mesh space and two similar linear systems （with same stiffness matrix but different right-hand side） on the fine mesh space. The convergence analysis and error estimation of the algorithm are given for the case of conforming elements. Furthermore, the Mgorithm produces a numerical solution with the optimal asymptotic H^2-error. Finally, we give a numerical illustration to demonstrate the effectiveness of the two-grid algorithm for solving the Navier-Stokes equations.

关键词： Two-grid algorithm Navier-Stokes equations Stream function form Reynolds number Newton iteration.

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International Journal of Ophthalmology(English edition) 2011年第5期4卷 552-557页

作者： Qian Ning, xin-han Zhao Department of Oncology the First hospital Affiliated to School of Medicine of Xi'an Jiaotong University Xi'an 710061 Shaanxi Province China Outpatient Department of Oncology Cancer Institute Fourth Military Medical University Xi'an 710032 Shaanxi Province China

Most of the ocular tumors have poor prognosis, and they remain a difficult problem in the area of ophthalmology. With the rapid development of molecular biology and immunologic techniques and the deep research on ocular tumor related genes, it becomes possible to diagnose and treat malignant tumors from the molecular level. The tumor necrosis factor related apoptosis-inducing ligand (TRAIL), a member of the tumor necrosis factor (TNF) super family, is a promising candidate, either alone or in combination with established cancer therapies, since it can initiate apoptosis through the activation of their death receptors. The ability of TRAIL to selectively induce apoptosis of transformed, virus-infected or tumor cells but not normal cells promotes the development of TRAIL-based cancer therapy. Here, we will review TRAIL and its receptors' structure, function, mechanism of action and application in ocular tumors therapy.

关键词： tumor necrosis factor related apoptosis-inducing ligand ocular tumors apoptosis

The New Fault Tolerant Onboard Computer for Microsatellite Missions

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The Journal of China Universities of Posts and Telecommunications 2006年第1期13卷 6-9页

作者： WANG xin-sheng SUN han-xu Automation School Beijing University of Posts and Telecommunications Beijing 100876 P.R. China

This paper describes an onboard computer with dual processing modules. Each processing module is composed of 32 bit ARM reduced instruction set computer processor and other commercial-off-the-shelf devices. A set of fault handling mechanisms is implemented in the computer system, which enables the system to tolerate a single fault. The onboard software is organized around a set of processes that communicate among each other through a routing process. Meeting an extremely tight set of constraints that include mass, volume, power consumption and space environmental conditions, the fault-tolerant onboard computer has excellent data processing capability that can meet the erquirements of micro-satellite missions.

关键词： onboard computer fault tolerance commerciat-off-the-shelt

Tumor-microenvironment activated programmable synergistic cancer therapy by bioresponsive rare-earth nanocomposite

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Journal of Rare Earths 2022年第9期40卷 1399-1406,I0003页

作者： Qi Jia xin han Yuxin Liu Xianquan Liao Jing Zhou Capital Normal University Beijing 100048China

Synergistic chemotherapy-photothermal therapy(CT-PTT)can improve the cancer treatment efficacy,but its treatment effect is still limited by factors such as targeting efficiency and treatment ***,a H_(2)S-responsive metal organic frameworks(MOFs)coated rare-earth nanocomposite(csEr@-MOF)was constructed and loaded with a chemotherapeutic drug(DOX)and a heat shock protein(HSP)inhibitor(Shepherdin).As the drug-loaded csEr@MOF reaches the H_(2)S-riched colorectal tumor region,based on the reaction between H_(2)S and MOF,Shepherdin is released for inhibiting the function of HSPs,the generated CuS is used for PTT and DOX is released for *** being monitored by ratiometric imaging of rare-earth nanocomposite,it is possible to perform the precise treatment timing for *** the help of Shepherdin,the treatment effect of PTT was ***,programmable CT-PTT synergistic cancer therapy activated by a single H_(2)S trigger is achieved in vitro and in *** work provides new ideas for designing tumor microenvironment-responsive therapeutic agents for programmable synergistic therapy with better targeting and therapeutic efficiency.

关键词： Rare-earth nanocomposite Tumor microenvironment Hydrogen sulfide Synergistic therapy Programmable therapy

hh-transforms of Positivity Preserving Semigroups and Associated Markov Processes

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Acta Mathematica Sinica,English Series 2011年第2期27卷 369-376页

作者： xin Fang han Zhi-Ming MA Wei SUN School of Mathematical Science and Computing Technology Central South University Changsha 410083 P. R. China Institute of Applied Mathematics AMSS Chinese Academy of Sciences Beijing 100190 P. R. China Department of Mathematics and Statistics Concordia University Montreal H3G 1M8 Canada

The hh-transforms of positivity preserving semigroups and their associated Markov processes are investigated in this paper. In particular, it is shown that any quasi-regular positivity preserving coercive form is hh-a... 详细信息

关键词： hh-transform positivity preserving semigroup positivity preserving coercive form Markov process weak duality