Growth of Atomically Flat Ultra-Thin Ag Films on Si（111） by Introducing a √3×√3-Ga Buffer Layer

Growth of high-quality ultra-thin Ag film is of great interest from both scientific and technological viewpoints. First, ultra-thin metal fihns are model systems utilized to investigate quantum size effects （QSE）. When the film thickness is comparable to the Fermi wavelength of an electron, quantized energy lev- els known as quantum well states are produced in the surface normal direction. High-quality metal films with uniform thickness can effectively suppress in- homogeneous broadening of the thickness-dependent quantum levels to manifest quantum size effects. Secondly, Ag is the most widely used material for sur- face plasmonic devices, and high-quality Ag films have already shown the capability of supporting surface plasmon propagation fbr an extremely long distance. Moreover, ultra-thin Ag films can act as an excel- lent substrate for integrating various nano and low- dimensional structures. For instance, silicene, which is a two-dimensional （2D） sheet composed of silicon similar to graphene, has recently attracted intense attention. Ag （111） surface is widely recognized as the most important substrate suitable for the growth of silicene, while Ag films are much more cost-effective candidates for expensive single crystal Ag（111） sub- strates.     

基于聚类的自适应图像稀疏表示算法及其应用

提出了一种针对一类图像进行稀疏表示的字典训练方法,并证明了该算法的收敛性.该算法的几何解释是,以最少的超平面来逼近样本所在的一小块球冠.算法流程为聚类每一步迭代所产生的余项,将聚类中心作为新的字典原子,令字典能够更适应于样本的稀疏表示.该算法与传统的字典训练方法相比具有适应性强,对训练样本规模和字典规模要求低,收敛速度快,算法复杂度低等特点.利用该算法训练得到的字典用于压缩感知、图像去噪等实验表明,该字典具有很好的效果.     

Analysis of Cr atom focusing deposition properties in the double half Gaussian standing wave field

The use of the dipole force on atoms is a new technology that is used to build nanostructures. In this way, a high quality standard nano-grating can be obtained. Based on the semi-classical model, the motion equation is investigated and the trajectories of atoms in double half Gaussian standing wave field are simulated. Compared with the Gaussian standing wave field, the double half Gaussian standing wave can well focus the Cr atoms. In order to obtain this kind of beam, a prism is designed and the experimental result shows that the beam is well generated.     

各向异性Hardy空间的分子特征及其应用

给定一个扩张矩阵A,得到了某些伴随于A的各向异性Hardy空间Hp(Rn)的分子特征刻画.作为其应用,还研究了与A相关的Calderón-Zygmund奇异积分算子和分数次积分算子在各向异性Hardy空间的有界性.     

Marcinkiewicz积分交换子在一些Hardy空间的有界性

讨论了由核函数满足具有某类Dini条件的Marcinkiewicz积分μΩ及函数b∈Lipβ(R~n)生成的交换子μ(_Ω,b)~m的性质.证明了Marcinkiewicz积分交换子μ_(_Ω,b)~m在Hardy型空间H_(bm,s)(R~n)上有界,也在Herz型Hardy空间H_(bm)K_p~(a_q)(R~n)上有界.     

算子空间的原子性

研究了算子空间的原子性.证明了算子空间V是原子当且仅当V是正合且有限内射; V内的任意一个有限维算子子空间是原子当且仅当V是原子且V内任意有限维算子子空间足V的完全补.因此作为推论,得到了无限维箅子空间V的任意有限维子空间是原子,则V是1-Hilbertian和1-齐次.     

Analysis of Nanometer Structure for Chromium Atoms in Gauss Standing Laser Wave

The equation of motion of two-level chromium atoms in Gauss standing laser wave is discussed and the distribution of chromium atoms is given under different transverse velocity conditions. The results show that the focusing position of atoms will be affected by the transverse velocity of atoms. Based on the four-order Runge- Kutta method, the locus of chromium atoms in Gauss standing laser wave is simulated. The three-dimensional characteristics of nanometer structures are stimulated under perfect and emanative conditions.     

Representations and Classification of Traveling Wave Solutions to sinh-GSrdon Equation

Two concepts named atom solution and combinatory solution are defined. The classification of all single traveling wave atom solutions to sinh-Gordon equation is obtained, and qualitative properties of solutions are discussed. In particular, we point out that some qualitative properties derived intuitively from dynamic system method are not true. Finally, we prove that our solutions to sinh-Gordon equation include all solutions obtained in the paper [Z.T. Fu, et al., Commun. Theor. Phys. （Beijing, China） 45 （2006） 55]. Through an example, we show how to give some new identities on Jacobian elliptic functions.     

Faithful Teleportation of an Unknown Atomic-Entangled State Without Bell-State Measurement

An alternative scheme is proposed for teleportation of an unknown atomic-entangled state. The scheme is based on the resonant interaction of a two-mode cavity field with a A-type three-level atom. In contrast with the previously proposed scheme of [Commun. Theor. Phys. 47 （2007） 253], the present scheme is ascendant, since the fidelity is 1.0 in principle similarly without the Bell-state measurement. The scheme may be generalized to not only the teleportation of the cavity-mode-entangled-state but also the teleportation of the multi-atomic entangled states included in generalized GHZ states. And the scheme is experimentally feasible based on the current cavity QED technique.