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The Ground and Excitation Levels of the Trimer

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wuhan university Journal of Natural Sciences 1998年第2期3卷 163-164页

作者： You Pu(Department of Physics, wuhan university,{2.,china) wuhan university Department of Physics Wuhan China (GRID:grid.49470.3e) (ISNI:***)

The ground and excited levels of the trimer (4He)3 are obtained theoretically by solving the 2.D Faddeev integral equation in the momentum space. In solving the equation, the direct matrix inversion method (I. M.) is used instead of the iteration and Pade approximate method. The new HFD-B Aziz potential ν is used in the calculation.

关键词： Trimer Faddeev equation matrix inversion method

Preparation of graphene and TiO2.layer by layer composite with highly photocatalytic efficiency

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Progress in Natural Science:Materials International 2011年第6期21卷 467-471页

作者： Yu-peng ZHANG~1,Jun-jie XU~1,Zhi-hua SUN~1,Chen-zhe LI~1,Chun-xu PAN~(1,2. 1.Key Laboratory of Artificial Micro- and Nano-structures of Ministry of Education, School of Physics and Technology,wuhan university,wuhan 430072,china 2.Center for Electron Microscopy,wuhan university,wuhan 430072,china Key Laboratory of Artificial Micro- and Nano-structures of Ministry of Education School of Physics and Technology Wuhan University Wuhan 430072 China Center for Electron Microscopy Wuhan University Wuhan 430072 China

A process for fabricating graphene and TiO2.ayer by layer composite was introduced to improve the photocatalytic activity by controlling the layers,thickness and the mass ratio between graphene and *** graphene oxide（GO） was synthesized from natural graphite powder by the modified Hummers ***-area uniform GO and TiO2.hin films were made by a spin-coating process in *** exposure of the TiO2.GO multilayer film to UV light irradiation which allows the reduction of GO to graphene,a novel photocatalytic structure as graphene and TiO2.ayer by layer composite was *** cross-sectional SEM image showed that a clear layer by layer microstructure with a single layer thickness of graphene or TiO2.as in the range of about 50 *** total thickness of the film was around 5μm which was varied according to the layer number of spin coating *** spectra revealed that significant structural changes occurred through UV light *** for methylene blue（MB） exhibited that the layer by layer composite is of higher photocatalytic activity than the pure TiO2.ayer.

关键词： graphene TiO2 photocatalysis layer by layer composite

An Intertemporal General Equilibrium Model of Asset Prices with Labor Input

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wuhan university Journal of Natural Sciences 1998年第2期3卷 129-134页

作者： Yang Yunhong(College of Mathematical Sciences, wuhan university,wuhan 430072,china) wuhan university College of Mathematical Sciences Wuhan China (GRID:grid.49470.3e) (ISNI:***)

This paper develops the CIR model. In this model, labor is introduced in the production function and leisure in the direct utility function. We examine how the trade-off between labor and leisure would affect asset prices and derive a familiar principal partial differential equation which asset prices must satisfy. The solution of this equation gives the equilibrium price of any asset in terms of the underlying real variables in economy.

关键词： Key words asset price equilibrium labor leisure

*** CONTRACTION OPERATORS AND STATISTICALLY SELF-SIMILAR SETS

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Chinese Annals of Mathematics,Series B 2002年第4期23卷 461-468页

作者： HU DIHECollege of Mathematics and statistics, wuhan university,{2., china. E-mail: dhhu@***. College of Mathematics and statistics Wuhan University Wuhan 430072 China

I.i.d. random sequence is the simplest but very basic one in stochastic processes, and statistically self-similar set is the simplest but very basic one in random recursive sets in the theory of random fractal. Is there any relation between i.i.d. random sequence and statistically self-similar set? This paper gives a basic theorem which tells us that the random recursive set generated by a collection of i.i.d. statistical contraction operators is always a statistically self-similar set.

关键词： Hausdorff metric Statistical contraction operator Statistically self-similar set Statistically self-similar measure

SOME BOUNDARY INCREASING PROPERTIES OF HARMONIC FUNCTIONS IN LIPSCHITZ DOMAIN

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Chinese Annals of Mathematics,Series B 1996年第2期17卷 159-166页

作者： ZHANG YIPING Department of Mathematics, wuhan university,{2., china.Project supported by the National Natural Science Foundation of china. Department of Mathematics Wuhan University Wuhan 430072 China

The object of this paper is to study the non-tangential increasing properties of positiveharmonic function u in Lipschitz domain by means of Martin representation theory. A necessaryand sufficient condition of the control of growth of u near any fixed boundary point is obtained.It is shown that the non-tangential increasing degree of u near a boundary point is exactlythe local degree of its representation measure with respect to the harmonic measure. Someexamples are given.

关键词： Martin representation Harmonic function Harmonic measure

Surface Films Formed on SnO_2.Anode in Lithium Secondary Batteries by FTIR Spectroscopy

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Journal of wuhan university of Technology(Materials Science) 2008年第5期23卷 662-665页

作者：黄峰 Hubei Refractories and High-temperature Ceramics Key Laboratory Wuhan University of Science and Technology

The chemical composition of the passivating layer formed on nano SnO2.anodes in 1 M LiClO4＋（ethylene carbonate）EC ＋（dimethyl carbonate）DMC at different charge/discharge states in lithium secondary batteries was studied using extra reflectance FTIR spectra. Results show that solvent decomposition reaction that generally occurs on the surface of carbon and alkali metal electrodes also takes place on nano-SnO2.anode, and the major constituent of the passivating layer is Li2.O3 and ROCO2.i. Formation of the passivating layer would certainly lead to the irreversible capacity loss.

关键词： nano-SnO2.anode lithium rechargeable batteries FTIR passivating layer

THE NON-DIFFERENTIABILITY OF A CLASS OFFRACTAL INTERPOLATION FUNCTIONS

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Acta Mathematica Scientia 1999年第4期19卷 425-430页

作者：陈世荣 Department of Physics Wuhan University Wuhan 430072 China

Hardin and Massopust([1]) introduced a class of fractal interpolation functions and calculated their Bouligand dimensions. This paper deals with the non-differentiability of these functions and shows some conditions under which they are nowhere differentiable. The basic technique here is based on the presentation the author obtains.

关键词： fractal interpolation iterated system nowhere differentiablity Hausdorff metric

Non-Homogeneous Riemann Boundary Value Problem with Radicals

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wuhan university Journal of Natural Sciences 2002年第4期7卷 379-382页

作者： Lu Jian-ke School of Mathematics and Statistics,wuhan university,wuhan 430072, Hubei,china School of Mathematics and Statistics Wuhan University Wuhan Hubei China

The solution of the non-homogeneous Riemann boundary value problem with radicals (1. 2. together with its condition of solvability is obtained for arbitrary positive integersp andq, which generalizes the results for t... 详细信息

关键词： Riemann boundary value problem branch points of radicals index order at infinity sectionally holomorphic functions

Extended multivariate public key cryptosystems with secure encryption function

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Science china(Information Sciences) 2011年第6期54卷 1161-1171页

作者： WANG HouZhen 1,2., ZHANG HuanGuo 1,2., WANG ZhangYi 1,2.& TANG Ming 1,2.1 The Key Laboratory of Aerospace Information Security and Trusted Computing, Ministry of Education, School of Computer, wuhan university, wuhan 430079, china 2.State Key Laboratory of Software Engineering, wuhan university, wuhan 430072, china The Key Laboratory of Aerospace Information Security and Trusted Computing Ministry of Education School of Computer Wuhan University Wuhan China State Key Laboratory of Software Engineering Wuhan University Wuhan China

Advances in quantum computers pose great threats on the currently used public key cryptographic algorithms such as RSA and ECC. As a promising candidate secure against attackers equipped with quantum computational power, multivariate public key cryptosystems (MPKCs) have attracted increasing attention in recently years. Unfortunately, the existing MPKCs can only be used as a multivariate signature scheme, and it remains unknown how to construct an efficient MPKC enabling secure encryption. Furthermore, some multivariate signature schemes have been shown insecure in recent years, and it is also not trivial to build MPKC which can serve as a secure signature scheme. By employing the basic MQ-trapdoors, this paper proposes a novel MPKC and shows how it can be used as a multivariate signature scheme and a multivariate encryption scheme, respectively. The goal is achieved by incorporating our new hash authentication techniques and some modification methods such as the Shamir's minus method. Thorough analysis shows that our schemes are secure and efficient. Our MPKC gives a positive response to the challenges in multivariate public key cryptography.

关键词： cryptography post-quantum cryptography MQ problem hash function