A_(n-1)~((1))面模型反射方程的多参数解

利用面型因式化Ｌ算子,通过面模型反射方程的对角解,构造了一个含有ｎ＋１个任意参数的非对角解．     

15顶角模型反射方程的常数解

得到了15顶角模型A2(1)模型和超对称t–J模型反射方程的非对角解,结果发现,A2(1)模型具有三种形式的非对角解,超对称t–J模型具有一种形式的非对角解,每种形式的非对角解均含有两个解,每个非对角解中均含有三个任意参数.关于对角解也得到了一些新的形式的解.     

Zn Belavin模型反射方程的多参数解

利用A_(n－1)⁽¹⁾面模型反射方程的对角解,得到了ZnBelavin模型反射方程的含有n+1个参数的解.当n=2时,其结果与侯伯宇等人给出的8项角反射方程的解是一致的.     

结构振动模态之间耦合对预测结构声功率的影响

以简支矩形板为例,分析结构振动模态之间的耦合对声功率的影响。通过对声功率传递矩阵计算方法的改进,得到计算声功率传递矩阵对角元素和非对角元素(模态耦合项)的解析解,并进行数值计算和分析。所得解析解结果同前人发表的数值解非常吻合。     

(3+1)维 KdV 方程新的精确解和孤子解

用普通Korteweg-de Vries(KdV)方程作变换,构造(3 1)维KdV方程的解,获得了新的孤子解、Jaoobi椭圆函数解、三角函数解和Weierstrass椭圆函数解.     

(2+1)维Broer-Kaup方程的广义dromion解结构

利用推广的齐次平衡方法,首先将(2+1)维Broer-Kaup方程线性化,然后构造出丰富的广义孤子解,包括单孤子解,单曲线孤子解,单dromion解,多dromion解。此方法直接而简单,可推广应用一大类(2+1)维非线性可积方程。     

(3+1)维Nizhnik-Novikov-Veselov方程的孤子解和周期解

采用行波法约化方程,建立一种变换关系,把求解(3+1)维NizhnikNovikovVeselov(NNV)方程的解转化为求解一维非线性KleinGordon方程的解,从而得到了(3+1)维NNV方程的孤子解和周期解. 关键词： (3+1)维Nizhnik-Novikov-Veselov方程 非线性Klein-Gordon方程 孤子解 周期解     

(2+1) 维Broer-Kau-Kupershmidt方程一系列新的精确解

借助于符号计算软件Maple，通过一种构造非线性偏微分方程(组)更一般形式精确解的直接方法即改进的代数方法，求解(2+1) 维 Broer-Kau-Kupershmidt方程，得到该方程的一系列新的精确解，包括多项式解、指数解、有理解、三角函数解、双曲函数解、Jacobi 和 Weierstrass 椭圆函数双周期解. 关键词： 代数方法 (2+1) 维 Broer-Kau-Kupershmidt 方程 精确解 行波解     

(2+1)维Boussinesq方程的新的周期解

利用Hirota方法及Riemann theta函数得到了(2+1)维Boussinesq方程的新的周期解.在极限情况下,该周期解退化为孤子解. 关键词： Hirota方法 Riemann theta 函数 (2+1)维Boussinesq方程 周期解     

（2+1）维耗散长波方程与(2+1)维Broer-Kaup方程新的类多孤子解

进一步拓广齐次平衡法的应用，并对关键的操作步骤进行了改进，从而简便地求出了（2+1 ）维耗散长波方程和（2+1）维Broer-Kaup方程新的类多孤子解-这种解更具有一般性，它包 含着已有文献给出的类多孤子解- 关键词： 齐次平衡法 类多孤子解 （2+1）维耗散长波方程 （2+1）维Broer-Kaup方程     

Structure of the laser annealed Si(1 1 1)-(1 × 1) surface

LEED analysis of the laser annealed Si(1 1 1)-(1 × 1) surface shows that a model with a graphite-like top double layer of atoms with a spacing of 2.95±0.02 Å from the second double layer describes the LEED data as well as the Zehner model, but involves large displacements of the atoms normal to the surface as required by ion scattering results. It is suggested that this model provides a natural interpretation of the low energy He atom scattering data for the Si(1 1 1)-(7 × 7) surface.     

1-cocycles on the group of contactomorphisms on the supercircles S1|1 and S1|2 generalizing the Schwarzian derivative

We give an explicit construction of the $1$-cocycles of the group of contactomorphisms on the supercircle $S^{1|m}$ for $m=1,2$, with coefficients in the space of differential operators acting on $S^{1|m}$-tensor densities. We show that they satisfy properties similar to those of the super-Schwarzian derivative.     

Reduction of the semisimple 1:1 resonance

The method of “averaging” is often used in Hamiltonian systems of two degrees of freedom to find periodic orbits. Such periodic orbits can be reconstructed from the critical points of an associated “reduced” Hamiltonian on a “reduced space”. This paper details the construction of the reduced space and the reduced Hamiltonian for the semisimple 1:1 resonance case. The reduced space will be a 2-sphere in R³, and the reduced differential equations will be Euler's equations restricted to this sphere. The orbit projection from the energy surface in phase space to this sphere will be the Hopf map. The results of the paper are related to problems in physics on “degeneracies” due to symmetries of classical two-dimensional harmonic oscillators and their quantum analogues for the hydrogen atom.     

Spectroscopy of the electron subbands on (1 1 1)-Si

We present measurements of infrared inter-subband absorption for electron subbands on (1 1 1)-Si for densities N_s up to ～ 10¹³ cm^?2 at 4.2 K for both parallel- and perpendicular-excitation geometries. Contrary to previously published work the depolarization shift is identified as a sizeable splitting of the resonance energies E^⊥₀₁ and E^z.dfnc;₀₁. The comparison with a recent calculations is given.     

Structure of the (1 1 1) hydrogen platelet in silicon

The stability of hydrogen complexes aligned in a (1 1 1) plane of silicon is studied theoretically. Pairs of hydrogen atoms saturating broken bonds between adjacent planes are found to be the most stable arrangement with the heat of formation increasing as the platelet grows. The related stress is estimated and electronic effects are discussed.     

Comparing the band structure of Ag(1 1 1) monolayers on Ni(1 1 1) and Ni (0 0 1)

Ag(1 1 1) monolayers prepared on two substrates, Ni(1 1 1) and Ni(0 0 1), were studied with angle-resolved photoemission; their two-dimensional band dispersions were found to be identical within experimental uncertainties. Comparing the present results with those for Ag/Cu(0 0 1), the major difference is just a shift of 0.32 eV in all the binding energies. Thus the band topology of Ag overlayers in these systems is quite insensitive to the electronic and atomic structures of the substrates.     

Surface diffusion of dysprosium on the W(1 1 1) facet

Diffusion of dysprosium on the (1 1 1) facet of a tungsten micromonocrystal was investigated by means of spectral analysis of field emission current fluctuations. The experimental spectral density functions of the current fluctuations were analysed by using Gesley and Swanson’s theoretical spectral density function, which enables to determine the surface diffusion coefficient D for dysprosium. Derived from the temperature dependence of D, the diffusion activation energy E is presented for some Dy coverages θ_(1 1 1). In the temperature range 400–600 K, the E first drops from 1.25 eV per atom at θ₍₁₁₁₎≈0.25 ML to 0.48 eV per atom at θ₍₁₁₁₎≈1 ML (corresponding to the minimum of the work function of the system), then increases to 1.03 eV per atom at θ₍₁₁₁₎≈1.3 ML. The results are discussed from the aspects of the substrate structure and interaction in the adsorbed layer.     

Observation of the second subband occupation in the p-type (1 1 1) Si inversion layer

We report our observations of the features in the conductivity and the anomalous magnetoresistance of a two-dimensional hole gas near (1 1 1) silicon surface, which gives the evidence for the onset of the second subband occupation at hole density p_s ≈ 5.3 × 10¹² cm^-2.     

Measuring the Au(1 1 1) surface state at the solid–liquid interface

We present the first direct observation of an occupied noble metal surface state at the metal/liquid interface. The Au(1 1 1) Shockley-like surface state was measured by scanning tunneling spectroscopy (STS) at the Au(1 1 1)/n-tetradecane interface. These results show that the surface state of gold survives in a liquid environment, and can be probed by STS. More generally it indicates that STS can be used to study electronic properties of surfaces at the solid/liquid interface, and that spectra can be directly compared to measurements and calculations of a surface’s electronic structure in ultra-high vacuum.