退火诱导机械合金化Fe42.5Al42.5Ti5B10合金的结构演变与晶粒生长动力学

利用XRD和TEM方法研究Fe_42.5Al_42.5Ti₅B₁₀合金在机械合金化及等温热处理过程中的结构演变及晶粒生长动力学,讨论了机械合金化合成机理和热处理过程中的晶粒生长机理.结果表明,球磨过程中Al,Ti,B原子向Fe晶格中扩散,形成Fe(Al,Ti,B)固溶体.机械合金化合成Fe(Al,Ti,B)遵循连续扩散混合机理.球磨50h后,金属Fe,Al,Ti,B已完全合金化,球磨终产物为纳米晶Fe(Al,Ti,B).球 关键词： XRD TEM 42.5Al_42.5Ti₅B₁₀合金')" href="#">Fe_42.5Al_42.5Ti₅B₁₀合金 机械合金化     

暗孤子的周期性再生效应

通过数值求解变系数非线性薛定谔方程,讨论具有有限背景宽度的皮秒暗光脉冲的传输和相互作用。结果表明,一种新的效应,即暗孤子的周期性再生效应,稳定地存在于具有分布参量的光纤系统中,不会受到孤子间相互作用的影响。并且,这种再生效应对损耗和有限的扰动(如白噪声)等不敏感。这表明暗孤子的周期性再生效应是稳定的。     

One-dimensional phase transitions in a two-dimensional optical lattice

A phase transition for bosonic atoms in a two-dimensional anisotropic optical lattice is considered. If the tunnelling rates in two directions are different, the system can undergo a transition between a two-dimensional superfluid and a one-dimensional Mott insulating array of strongly coupled tubes. The connection to other lattice models is exploited in order to better understand the phase transition. Critical properties are obtained using quantum Monte Carlo calculations. These critical properties are related to correlation properties of the bosons and a criterion for commensurate filling is established.     

O+HCl→OH+Cl反应的立体动力学的准经典轨线研究

运用准经典轨线方法, 基于Peterson从头计算势能面对O+HCl→OH+Cl反应的立体动力学性质进行了研究. 讨论了在31.77和51.04 kJ/mol两种碰撞能情况下极化依赖的微分反应截面(2π/σ)(dσ₀₀/dω_t), (2π/σ)(dσ₂₀/dω_t), (2π/σ)(dσ₂₂₊/dω_t)和(2π/σ)(dσ_21-/dω_t)以及描述k-j′两矢量相关和k-k′-j′三矢量相关的分布函数P(θ_r)和P(φ_r). 计算得到的P(θ_r)分布表明, 产物分子的转动角动量j′具有强烈的取向分布, 并且产物转动角动量的取向效应对散射能的变化比较敏感. 而P(φ_r)的分布表明, 产物分子虽然具有沿着y轴的取向效应, 但是没有明显的定向效应.     

Group theoretical methods in optics

Scalar Fourier optics is concerned with the passage of paraxial light beams through ideal optical systems. It is well known that the action of the latter on the former can be given in the framework of the two- and four-dimensional real symplectic groups. It is shown here that, based on an analysis of the Poincaré symmetry of the complete Maxwell equations in the front form, a natural representation for paraxial Maxwell beams emerges, which moreover shows the way to a generalization of scalar to vector Fourier optics preserving the group structure of ideal optical systems. Properties of generalized rays, and the usefulness of some pseudo-orthogonal groups in the treatment of Gaussian Schell-model beams, are also brought out.     

复色光伏孤子的稳定性

给出求解复色孤子半高宽的近似方法，该方法对分析复色光束的演化提供一个定性的基础 .进一步的数值模拟结果表明，当入射双曲正割光束满足复色光伏孤子半高宽与中心光强的 关系时，双曲正割光束在晶体中的传播就非常接近孤子，表明复色光伏孤子对于小的微扰是 稳定的.此外，复色光伏孤子对于小的轴偏离具有较好的稳定性；复色光伏孤子对因温度微 扰引起折射率变化的情况也具有较好的稳定性.一般情况下，初始光强分布接近复色光伏孤 子光强分布的两束光的光强在传播过程中不断地起伏，形成呼吸状结构，但如果入射面处的 光强明显偏离孤子的光 关键词： 复色光伏空间孤子 稳定性     

Quantum monte carlo studies of electron-electron interaction effects in conducting polymers

We discuss recent studies, using the quantum ensemble projector Monte Carlo (EPMC) method, of theoretical models of conducting polymers. Our focus is on the consequences of incorporating direct electron-electron interactions into the “standard” electron-phonon interaction models. Among the observables we examine one energetics of purely dimerized ground states, single solitons, soliton pairs, averaged spin and charge distributions, and local correlation functions.     

Borsuk's theorem through complementary pivoting

In this short note a simple and constructive proof is given for Borsuk's theorem on antipodal points. This is done through a special application of the complementary pivoting algorithm.     

Gauge Theory Solitons on the Noncommutative Cylinder

The solution-generating technique originally suggested for gauge theories on the noncommutative plane is generalized to the noncommutative cylinder. For this, we construct partial isometry operators and a complete set of orthogonal projection operators in the algebra _C of the cylinder, and an isomorphism between the free module _C and its direct sum _{C C} with the Fock module on the cylinder. We explicitly construct the gauge theory soliton and evaluate the spectrum of perturbations about this soliton.     

Vector measure duality and tensor product representations of -spaces of vector measures

Let be a countably additive vector measure. In this paper we use the definition of vector measure duality to establish a tensor product representation theorem for the space of -integrable functions with respect to . In particular, we identify this space with the dual of a certain space of operators under reasonable restrictions for the vector measure .