The effect of cubic potentials on discrete breathers in a mixed Klein-Gordon/Fermi-Pasta-Ulam chain

Nonlinearity has a crucial impact on the symmetry properties of dynamical systems.This paper studies a onedimensional mixed Klein-Gordon/Fermi-Pasta-Ulam diatomic chain using the expanded rotating plane-wave approximation and numerical calculations to determine the effect of cubic potentials on the symmetry properties of discrete breathers in this system.The results will be very useful to researchers in the field of numerical calculations on discrete breathers.     

Polaron effects in cylindrical GaAs/Al_xGa_(1-x)As core-shell nanowires

By the fractal dimension method, the polaron properties in cylindrical GaAs/Al_xGa_(1-x)As core-shell nanowire are explored. In this study, the polaron effects in GaAs/Al_xGa_(1-x)As core-shell nanowire at different values of shell width and aluminum concentration are discussed. The polaron binding energy, polaron mass shift and fractal dimension parameter are numerically worked out each as a function of core radius. The calculation results show that the binding energy and mass shift of the polaron first increase and then decrease as the core radius increases, forming their corresponding maximum values for different aluminum concentrations at a given shell width. Polaron problems in the cylindrical GaAs/Al_xGa_(1-x)As core-shell nanowire are solved simply by using the fractal dimension method to avoid complex and lengthy calculations.     

Periodic,quasiperiodic, and chaotic breathers in two-dimensional discrete β-Fermi-Pasta-Ulam lattice

Using numerical method, we investigate whether periodic, quasiperiodic, and chaotic breathers are supported by the two-dimensional discrete Fermi-Pasta-Ulam (FPU) lattice with linear dispersion term. The spatial profile and time evolution of the two-dimensional discrete β -FPU lattice are segregated by the method of separation of variables, and the numerical simulations suggest that the discrete breathers (DBs) are supported by the system. By introducing a periodic interaction into the linear interaction between the atoms, we achieve the coupling of two incommensurate frequencies for a single DB, and the numerical simulations suggest that the quasiperiodic and chaotic breathers are supported by the system, too.     

半导体低维体系简介

介绍了量子阱、量子线、量子点、半导体超晶格、二维电子气等典型的低维半导体结构及其性质和分析方法。     

量子霍尔效应（续）

4　分数量子霍尔效应的物理解释4.1　 L aughlin波函数和准粒子上述对 IQHE的解释是基于单电子图象的基础上作出的 .考虑到 2 DEG实际上是一个多粒子体系 ,如果电子 -电子间相互作用很强会导致强关联 .L aughlin从包含这种相互作用的多电子哈密顿出发 ,借助液氦理论中的模型波函数对量子霍尔效应体系的波函数进行试探性猜测 .对于 v=1 / m(m为奇数 )情形 ,得到的波函数满足泡利原理的要求 .用变分法和其它近似方法 (包括蒙特卡罗方法 )进行计算并和凝聚态理论中的模型相比较 ,肯定了该波函数 .L aughlin波函数描述的是高度关联的多电子…     

一维Klein-Gordon双原子链中的能隙呼吸子

采用旋转波近似，讨论一维Klein-Gordon双原子链中的能隙呼吸子. 在驻波边界条件下数值求解一维Klein-Gordon双原子链晶格振动的运动方程组，得到不同耦合系数、不同非线性系数以及不同原子质量比情况下的以重原子为中心的对称模能隙呼吸子. 随着耦合系数的增大，原子之间的耦合作用增强，呼吸子的空间扩展范围增大；非线性作用越大，能隙呼吸子局域化越强；随着原子质量差的增大，呼吸子在空间越来越局域. 关键词： 能隙呼吸子 一维Klein-Gordon双原子链 耦合系数 非线性     

微波消解-铋膜修饰电极阳极溶出法测定大米中镉

建立了大米中Cd的微波消解壤膜电极阳极溶出伏安快速测定方法.在0.2 mol/L HAc-NaAc缓冲溶液(pH 4.0)中,Cd(Ⅱ)在-650mV附近出现一灵敏的溶出峰,其质量浓度在1～360 μg/L范围内与峰高成正比,检出限可达0.05 μg/L,回收率为93.5％～106.3％;本法已用于大米中Cd的测定,并...     

具有在位势的一维双原子链晶格振动的长声学波图像

通过数值求解具有在位势的一维双原子链晶格振动的运动方程组,给出了具有不同大小在位势的长声学波振动模图像,直观展示出在位势使原胞中两种原子的振动位移不同,并且随在位势的增大,振动位移之差显著增大.     

一维分子链中激子与声子的相互作用和呼吸子解

运用连续极限近似，求解声子与激子相互作用的运动方程，得到了简谐分子链和 非简谐分子链中晶格振动的孤子解，在考虑三次非简谐势的情况下，一维分子链晶格振动具 有扭结孤子解，在考虑具有四次非简谐势的情况下，得到一维分子链晶格振动具有呼吸子解 . 关键词： 一维分子链 激子 声子 孤子 呼吸子 非线性效应