用点正则变换方法求解双原子分子的双曲型Poschl-Teller势的束缚态

采用在点正则变换下形状不变势的映射方法,给出了将Poschl-Teller Ⅰ势映射至Poschl-Teller Ⅱ势的点正则变换,并从Poschl-TellerI势的束缚态能级和波函数求得了Poschl-Teller Ⅱ势的束缚态能级和波函数.     

Density functional theory study of MgnNi2 （n=1-6） clusters

The geometries of Mg n Ni 2(n = 1-6) clusters are studied by using the hybrid density functional theory(B3LYP) with LANL2DZ basis sets.For the ground-state structures of Mg n Ni 2 clusters,the stabilities and the electronic properties are investigated.The results show that the groundstate structures and symmetries of Mg clusters change greatly due to the Ni atoms.The average binding energies have a growing tendency while the energy gaps have a declining tendency.In addition,the ionization energies exhibit an odd-even oscillation feature.We also conclude that n = 3,5 are the magic numbers of the Mg n Ni 2 clusters.The Mg 3 Ni 2 and Mg 5 Ni 2 clusters are more stable than neighbouring clusters,and the Mg 4 Ni 2 cluster exhibits a higher chemical activity.     

Wigner function and the entanglement of a quantized Bessel-Gaussian vortex state of a quantized radiation field

A new kind of quantum non-Gaussian state with a vortex structure,termed a Bessel-Gaussian vortex state,is constructed,which is an eigenstate of the sum of squared annihilation operators a2+b2.The Wigner function of the quantum vortex state is derived and exhibits negativity which is an indication of nonclassicality.It is also found that a quantized vortex state is always in entanglement.And a scheme for generating such quantized vortex states is proposed.     

Density functional calculations on 13-atom Pd12M （M= Sc-Ni） bimetallic clusters

The geometric structures,electronic and magnetic properties of the 3d transition metal doped clusters Pd12M(M=Sc-Ni) are studied using the semi-core pseudopots density functional theory.The groundstate geometric structure of the Pd12M cluster is probably of pseudoicosahedron.The Ih-Pd12M cluster has the most thermodynamic stability in five different symmetric isomers.The energy gap shows that Pd12M cluster is partly metallic.Both the absolutely predominant metal bond and very weak covalent bond might exist in the Pd12M cluster.The magnetic moment of Pd12M varies from 0 to 5 μB,implying that it has a potential application in new nanomaterials with tunable magnetic properties.     

A new method for information retrieval in two-dimensional grating-based X-ray phase contrast imaging

Grating-based X-ray phase contrast imaging has been demonstrated to be an extremely powerful phase-sensitive imaging technique.By using two-dimensional(2D) gratings,the observable contrast is extended to two refraction directions.Recently,we have developed a novel reverse-projection(RP) method,which is capable of retrieving the object information efficiently with one-dimensional(1D) grating-based phase contrast imaging.In this contribution,we present its extension to the 2D grating-based X-ray phase contrast imaging,named the two-dimensional reverseprojection(2D-RP) method,for information retrieval.The method takes into account the nonlinear contributions of two refraction directions and allows the retrieval of the absorption,the horizontal and the vertical refraction images.The obtained information can be used for the reconstruction of the three-dimensional phase gradient field,and for an improved phase map retrieval and reconstruction.Numerical experiments are carried out,and the results confirm the validity of the 2D-RP method.     

一个包含Euler函数及k阶Smarandache ceil函数的方程及其正整数解

设k≥2为给定的整数．对任意正整数n,k阶Smarandache ceil函数Sk（n）定义为Sk（n）=min{x：x∈N,n｜x^k}．本文的主要目的是利用初等方法研究函数方程Sk（n）=Ф（n）的可解性,并给出该方程的所有正整数解,其中Ф（n）为Euler函数．     

基于菲涅耳原理的小孔衍射

运用菲涅耳原理,分析了照相机拍摄的提灯照片中光束中心发出大量射线的原因,使用Mathematica模拟了正多边形孔的衍射图样并计算了不同孔径的亮纹宽度.模拟图样显示:奇数边孔的条纹数目为孔边数的2倍,偶数边孔的条纹数目与孔边数相等.用三角形小孔和七边形小孔进行实验,实验结果与理论模拟一致.     

求解分数阶延迟微分方程的卷积Runge-Kutta方法

本文利用强A-稳定Runge-Kutta方法求解一类非线性分数阶延迟微分方程初值问题,并给出了算法的稳定性和误差分析.数值算例验证算法的有效性及其相关理论结果.     

一种鲁棒的抗去同步攻击数字语音取证算法

去同步攻击破坏水印的同步性,导致水印无法正确提取,致使取证水印算法无法得到可靠的取证结果.分析了语音信号自相关度残差的鲁棒性,并将帧号映射为水印序列,通过量化自相关度来进行嵌入,提出了鲁棒的抗去同步攻击数字语音取证算法.实验结果证实算法提高了水印算法容忍信号处理的能力,同时能够对数字语音给出可信的取证结果.     

Cun、Agn和Aun(n≤9)团簇的静电极化率

采用B3LYP密度泛函的方法计算了Cun，Agn和Aun(n≤9)团簇的静电极化率和极化率的各向异性，并与Na原子团簇进行比较，结果表明，Cun和Agn团簇的极化率与团簇大小的关系与Na原子团簇类似，而Aun团簇的极化率有所不同；Au原子的极化率较小，而从Au2至Au7，Aun团簇极化率变化趋势与Cun和Agn团簇相似。重金属元素团簇的极化率小于Na原子团簇的极化率，具有更加紧致结构。