具有长程相互作用S-1/2 XY链的研究

采用平均场Jordan - Wigner 变换分析方法,研究了外场中且具有Z方向均匀长程相互作用自旋－1/2 XY链的热力学性质,得到了系统格点的亥姆赫兹自由能、内能、比热、磁化强度、磁化率等热力学量的解析表达式及其数值解,讨论了系统的一级和两级相变,数值结果在退化条件下与其他文献的结果符合很好. 关键词： XY链')" href="#">XY链 平均场Jordan-Wigner变换 长程相互作用     

Large Deviation Techniques Applied to Systems with Long-Range Interactions

We discuss a method to solve models with long-range interactions in the microcanonical and canonical ensemble. The method closely follows the one introduced by R.S. Ellis, Physica D 133:106 (1999), which uses large deviation techniques. We show how it can be adapted to obtain the solution of a large class of simple models, which can show ensemble inequivalence. The model Hamiltonian can have both discrete (Ising, Potts) and continuous (HMF, Free Electron Laser) state variables. This latter extension gives access to the comparison with dynamics and to the study of non-equilibrium effects. We treat both infinite range and slowly decreasing interactions and, in particular, we present the solution of the α-Ising model in one-dimension with 0 ⩽ α < 1.     

Thermodynamic properties of the spin-1/2 ferromagnetic Heisenberg chain with long-range interactions

The one-dimensional spin-1/2 XYZ ferromagnetic model in a transverse field and uniform long-range interactions among the z components of the spins is studied using the mean-field Jordan–Wigner transformation. The thermodynamic quantities results like Helmholtz free energy, the internal energy, the specific heat and the isothermal susceptibility are obtained both analytically and numerically. The phase transition of the system at a finite temperature is also discussed. Our results agree with numerical results of the XYZ spin chain by others.     

Eigenfunctions of Five-Qubit XX Chain and Ground State Concurrence

Use Jordan-Wigner transformation the eigenstates and eigenenergies of live qubits XX chain including external magnetic field are obtained. The concurrences Co,1 and Co,2 of ground state are obtained. For the ferromagnetic, when [（√5 - 1）/2]｜J｜ 〈 B ≤ ｜J｜, the values of C0,1 and C0,2 are the same. The C0,2 is easily broken by temperature.     

Eigenfunctions of Five-Qubit XX Chain and Ground State Concurrence

Use Jordan-Wigner transformation the eigenstates and eigenenergies of five qubits XX chain including external magnetic field are obtained. The concurrences C_0,1 and C_0,2 of ground state are obtained. For the ferromagnetic, when [(\sqrt 5 - 1)/2]|J| < B ≤ |J|, the values of C_0,1 and C_0,2 are the same. The C_0,2 is easily broken by temperature.     

Exact Analytical Solutions to the Two—Mode Mean—Field Model Describing Dynamics of a Split Bose—Einstein Condensate

We present the analytical solutions to the two-mode mean-field model for a split Bose-Einstein condensate.These explicit solutions completely determine the system‘s dynamics under the two-mode mean-field approximation for all possible initial conditions.     

Mean-Field Studies of a Mixed Spin-3/2 and Spin-2 and a Mixed Spin-3/2 and Spin-5/2 Ising System with Different Anisotropies

The magnetic properties of a mixed spin-3/2 and spin-2 and a mixed spin-3/2and spin-5/2 Ising ferromagnetic system with different anisotropies are studied by means of mean-field theory (MFT). The dependence of the phase diagram on single-ion anisotropy strengths is studied too. In the mixed spin-3/2 and spin-2 Ising model, besides the second-order phase transition, the first order-disorder phase transition and the tricritical line are found. In the mixed spin-3/2 and spin-5/2 Ising model, there is no first-order transition and tricritical line.     

无衍射光经望远镜系统的变换

对于轴锥镜透镜产生的无衍射光，它的中心光斑半径和无衍射距离是固定的，一旦应用中要求新的光束参数，则只能再制造一个新的轴锥镜透镜。本语文提出了种用普通球面透镜望远为改变无衍射光束参数的新方法，该方法是基于无射光和环光源之间的透镜变换关系。无衍射光首先被望远系统的第一块透镜变换为一个环光源，第二块不同焦距的透镜再将该环光源变换为一个不同参数的新无衍射光。新的光束参数由两个透的焦距比值决定 。     

击中击不中变换在光学全息关联存储中的应用

应用形态击中周不中变换，提出了一种提高光学全息关联存储寻址准确性的方法，并给出了实验演示。     

小波变换在多粒子末态相空间分析中的应用

利用小波变换这一数学工具，对于由随机级联α模型模拟产生的多数子末态相空间的几率分布，进行了分析与讨论，得出利用小波变换可直接对末态相空间粒子分布的实验数据进行几率矩、关联矩方面的分析与研究；并且提供了具体的计算方法.     

On the Contribution of Structural Relaxation to the Magnetic Softening During the Amorphous-Nanocrystalline Transformation

In the present paper the contribution of structural relaxation to the net magnetic softening will be treated taking place during the amorphous-nanocrystalline transformation. Isothermal heat treatments were carried out well below the crystallization, in the temperature range of (350-440)°C. Significant decrease of H _c and increase of permeability (50 Hz) can be found already due to these heat treatments. The beneficial role of stress relaxation (resulting from low heating rates) can be also detected in the resulting permeability at 50 Hz.     

Generalized lattice model of liquid state and its relation to Ginzburg–Landau theory

Basic principles of the generalized lattice model of multicomponent condensed systems are formulated. Short-range parts of interatomic interactions are taken into account by means of the geometric constraints method. Long-range parts of the interactions are taken into account in mean field approximation. The expression for Helmholtz free energy is obtained. A system of integral equations for the equilibrium distributions of components is derived. The asymptotic properties of its solutions are investigated. Moment expansion of interatomic interactions and localization of integral terms in free energy is obtained. A Ginzburg–Landau-like functional of free energy is derived.     

计算全息图在光学变换中的应用

本文讨论如何利用计算全息图作为全息透镜以实现圆环到直线,直线到点以及圆环到点等光学变换,采用液晶电视空间光调制品准实时地产生计算全息图。     

近红外传感器在汽车改造技术中的应用研究

利用反射式近红外传感器及语音录放组件,研究了汽车倒车防撞语音提示器。当汽车倒车时,只要距车身后尾一定的距离内有人或物体存在,就会有一部分红外光信号经人或物体反射回来,被与发射管同排安装的光敏接收管收到并转换成同频率的电信号后,由模块内部电路进行放大、解调、整形、比较处理后,在输出端输出控制信号,控制语音录放组件工作,告诉司机车后有人、车后有物体。由于近红外线传感器、语音录放组件均为一体化结构,成本低、接线简单、抗震能力强、测量准确、工作稳定可靠,适合在汽车上安装使用。     

Application of Coordinate-Momentum Intermediate Representation in Solving Eigenstate Problem of a Coupled Oscillator System

We study the eigenstate problem of a kind of coupled oscillators in the new quantum mechanical represen tation ｜q, μ, v〉, which is defined as the eigenvector of the operator (μQ vP), where μ and v are two realparameters. We also use the U operator transformation method to deal with the same problem. We obtain the normally ordered product expressions of U operator and eigenvector. It is shown that the ground state of system Hamiltonian is a squeezed state.     

Application of Coordinate-Momentum Intermediate Representation in Solving Eigenstate Problem of a Coupled Oscillator System

We study the eigenstate problem of a kind of coupled oscillators in the new quantum mechanical representation ｜q,μ,υ〉, which is defined as the eigenvector of the operator （μQ ＋ υP）, whereμ and υ are two real parameters. We also use the U operator transformation method to deal with the same problem. We obtain the normally ordered product expressions of U operator and eigenvector. It is shown that the ground state of system Hamiltonian is a squeezed state.     

小波变换-偏最小二乘法用于Co,Ni,Zn的分光光度法同时测定

建立了以 2 (5 溴吡啶偶氮 ) 5 二乙氨基苯酚 (5 Br PADAP)作显色剂 ,溴代十六烷基吡啶 (CPB)为增溶增敏剂 ,用小波变换—偏最小二乘分光光度法同时测定钴 ,镍 ,锌的方法。在波长 5 30～ 5 90nm范围内每隔 2nm测定其吸光值 ,将测定结果分别用偏最小二乘法处理和经小波变换后用偏最小二乘法处理。结果表明 ,经小波变换后处理结果回收率明显提高。     

The Effects of Solution Transformations to the System with Color Parameters

The effects of solution transformations to the six-and eight-vertex systems are discussed.There are four Kinds of effects,the Hamiltonian of the system is invariant,Its coupling coefficients change,some additional terms appear in the Hamiltonian,and the spin of the system is rotated by some angle about z axis under these transformations.In all the cases,the systems are still integrable if they are so before the transformation.     

The Relevance of Interactions in Nanoparticle Systems – Application to Particulate Thin Films

In the field of Particle Technology, processes cannot yet be designed from basic molecular understanding. Nanotechnology, however, begins to bridge this gap between molecules and particles and may thus open up new ways not only for the production and handling of particulate matter but also for the engineered design of advanced material properties. The visions and applications in nanoparticle technology cover a broad range, for instance quantum dots in information technology, refractory particles for advanced ceramics, highly active substances in pharmacy, catalysts or micro‐ and mesoporous adsorbents, to name only a few applications. Starting from the concept of product engineering, we investigate the basic preconditions for tailoring nanoparticulate properties, i.e. the control of the particle interactions. This concept is then applied to particulate thin film formation as an example of structure formation. The structure of dip‐coated samples, defined as the order of particles within the layer, was found to vary with the pH and the ion concentration adjusted in the sol bath. It was observed that the surface roughness scanned by an atomic force microscope increased with increasing electrolyte concentration. The structural evolution of the particulate network was studied by measuring the viscosity as a function of shear rate and solid concentration. Finally, the influence of coating structures on the transmission properties was determined. Especially in the case of LaCl₃ a strong dependence was observed. The results explicitly confirm a correlation between microscopic structure and macroscopic properties.