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AN EXTREMAL APPROACH TO BIRKHOFF QUADRATURE FORMULAS

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Journal of Computational Mathematics 2001年第5期19卷 459-466页

作者： Ying-guang Shi (department of Mathematics, hunan normal university,{2., China) 湖南师范大学湖南长沙 410081

Discusses an extremal problem with Birkhoff interpolation constraints. Quadrature formula derived from an extremal problem; Overview of auxiliary lemmas; Derivation of some properties of polynomials.

关键词： an extremal approach Birkhoff quadrature formulas

Absorption Cross Section of Einstein-Maxwell Dilation Axion Black Hole for Dirac Particles

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Communications in Theoretical physics 2007年第12期48卷 1051-1054页

作者： LIU Chang-Qing JING Ji-Liang Institute of physics and department of physics,hunan normal university,changsha 410081,China Institute of physics and department of physics Hunan Normal University Changsha 410081 China

The absorption cross section of the Einstein-Maxwell Dilaton Axion (EMDA) black hole for Dirac particlesis *** is shown that the absorption cross section decreases as both the v and the absolute value of the dilatonincrease,but it increases as the mass of the particle *** is also shown that the absorption cross section for themassless Dirac particles is 1/8 of the area of the horizon,which may be an universal property for minimally coupledmassless Dirac particles.

关键词： black hole absorption cross section Dirac particle

SUPERCONVERGENCE ANALYSIS FOR CUBIC TRIANGULARELEMENT OF THE FINITE ELEMENTSUPERCONVERGENCE ANALYSIS FOR CUBIC TRIANGULARELEMENT OF THE FINITE ELEMENT

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Journal of Computational Mathematics 2000年第5期18卷 541-550页

作者： Qi-ding Zhu (department of Mathematics, hunan normal university,{2., China ) 湖南师范大学湖南长沙 410081

In this paper, we construct a projection interpolation for cubic triangular element by using othogonal expansion triangular method. We show two fundamental formulas of estimation on a special partion and obtain a superconvergence result of 1- ∈order higher for the placement function and its tangential derivative on the third order Lobatto points and Gauss points on each edge of triangular element.

关键词： Finite element Superconvergence Projection interpolation.

EQCM study on poly(aminothiophenol) monolayer

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Chinese Chemical Letters 1997年第6期8卷 533-534页

作者： Qing Ji XIE Ming MA (department of Chemistry, hunan normal university,{2.) department of Chemistry Hunan Normal University Changsha 410081 China

In this letter, we report EQCM studies on the electrochemistry of poly(aminothiophenol) monolayer on Au in aqueous solutions. Results show that the monolayer polymer investigated exhibits only a one-step proton-involv... 详细信息

关键词： EQCM study on poly aminothiophenol monolayer

Boundedness in Lebesgue spaces for commutators of multilinear singular integrals and RBMO functions with non-doubling measures

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Science China Mathematics 2007年第3期50卷 361-376页

作者： Jing-shi XU department of Mathematics, hunan normal university,{2., China department of Mathematics Hunan Normal University Changsha China

The boundedness in Lebesgue spaces for commutators generated by multilinear singular integrals and RMBO(μ) functions of Tolsa with non-doubling measures is obtained, provided that ∥μ∥ = ∞ and multilinear singular... 详细信息

关键词： multilinear singular integral commutator maximal function non-doubling measure RMBO(μ) function Primary 42.2. Secondary 42.2.

Bell States and Two-Qubit Logic Gate with Superconducting Charge Qubits Coupling to a Nanomechanical Resonator

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Communications in Theoretical physics 2007年第12期48卷 999-1002页

作者： LIAO Jie-Qiao~1 and WANG Xin-Wen~(2.3)~1 department of physics,{2. normal university,changsha 410081,China~2.department of physics,Beijing normal university,Beijing 100875,China~3 department of Electronic Engineering and physics,{2. university of Science and Engineering,Yongzhou 42.100,China department of physics Hunan Normal University Changsha 410081 China department of physics Beijing Normal University Beijing 100875 China department of Electronic Engineering and physics Hunan University of Science and Engineering Yongzhou 425100 China

We propose a scheme for generating Bell states involving two SQUID-based charge qubits by coupling themto a nanomechanical *** also show that it is possible to implement a two-qubit logic gate between the twocharge qu... 详细信息

关键词： Bell states superconducting charge qubit two-qubit logic gate nanomechanical resonator

Observations favor the crossing of phantom divide lines

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Science China(physics,Mechanics & Astronomy) 2010年第3期53卷 562-566页

作者： HUANG TieTie1,2.3, WU PuXun2.3 & YU HongWei2.3 1department of physics, Xiangnan College, Chenzhou 42.000, China 2.0} of physics and Institute of physics, hunan normal university, changsha 410081, China 3Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, hunan normal university, changsha 410081, China department of physics Xiangnan College Chenzhou China department of physics and Institute of physics Hunan Normal University Changsha China Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education Hunan Normal University Changsha China

Using three different parameterized dark energy models, we reconstruct the properties of dark energy from the latest 397 Sne Ia, CMB and BAO with the present matter density, Ωm0, given prior. We find that, when Ωm0 is not small, for example, Ωm0 = 0.2. or 0.32. an evolving dark energy with a crossing of phantom divide line is favored and this conclusion seems to be model independent. We also find that the evolving properties of dark energy become more and more evident with the increase of Ωm0 given prior.

关键词： cosmology auelerating expansion dark energy

Analytical study of stationary soliton excitations in diamond-structure chain with quartic anharmonicity

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原子与分子物理学报 2001年第2期18卷 143-149页

作者： XIA Qing lin 1, ZHOU Guang hui 2. YAN Jia ren 2. (1.department of Applied physics and Heat Engineering, Central South {2., hunan changsha 410083 2.department of physics, hunan normal university, hunan changsha 410081) 中南大学湖南长沙 410083 湖南师范大学湖南长沙 410081

This work analytically study soliton excitations in an one dimensional chain with the same mass but two alternating force constants between the nearest neighbors by means of multiple scales method plus quasi discrete approximation. This model simulates a row of atoms in the 〈111〉 direction of a diamond structure type of crystals. The explicit expressions of the stationary soliton solutions are obtained at some special wave vectors of the carrier wave ( q =±π/ a for acoustic mode and q=0 , ±π/ a for optical mode). The configuration of the atomic displacements of this model is different from that of diatomic chain with quartic anharmonicity.

关键词： Stationary soliton excitation Diamond structure Multiple scales method Quasi discrete approximation

Studies on the Synthesis, Properties and Preparation Methods of Zeolite ZK-4

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Chemical Research in Chinese Universities 2000年第4期16卷 306-312页

作者： ZHAO Zhen-hua and YIN Du-lin (department of Chemistry, hunan normal university,{2., P. R. China) 湖南师范大学湖南长沙 410081

A zeolite designated as ZK-4 was synthesized hydrothermally in the system (TMA)2.Na2.-Al2.3- SiO2. H2. at 80 - 100℃ with tetramethylammonium hydroxide as an organic templating agent. The pure zeolite ZK-4 could be prepared by using the mother liquor obtained after filtration as the source of templating agent. The effect of some synthetic conditions such as the amount of tetramethylammonium hydroxide used, n [ (TMA)2. + Na2.] /n (Al2.3) ratio, n (SiO2./n(Al2.3) ratio and crystallization time, etc. on the crystalline phase of the product was investigated. When the following molar ratios of the reaction mixture, n (SiO2./n (Al2.3) 4-10, n[(TMA)2.+Na2.]/ n (Al2.3 ) > 7, n (Na2.)/n (Al2.3)=0. 5-2. 0, n (H2.)/ n(A12.3)=80-450, were used, pure zeolite ZK-4 could be obtained. The synthetic products were characterized by X-ray powder diffraction, atomic absorption spectrophotometry (AAS), adsorption measurement, thermogravimetric analysis(TGA), and 2.Si magic angle spinning nuclear magnetic resonance technique. Zeolite ZK-4 has a higher thermal stability than sodium zeolite A due to higher n(Si)/n(Al) ratio of zeolite ZK-4.

关键词： Zeolite ZK-4 Molecular sieve Zeolite synthesis Property,Tetramethylammonium hydroxide template