指数型变化有效质量的三维Schrödinger方程的解析解

对随径向坐标指数型变化的有效质量分布,通过坐标变换,得到了与Coulomb型势,Kratzer型势和无限深球方势阱三类势函数相联系的变质量三维Schr(o)dinger方程的解析解,具体给出了这三类系统的能量本征值和本征函数的解析表达式.     

α结团模型在形变核区域的推广

将α结团模型推广至形变核,计算偶偶形变母核α衰变基态到子核基态和子核第一激发态的分支比,显示出α衰变精细结构的测量是提取核形变信息的有效手段.The cluster model of α-decay is extended to deformed nuclei. The branching ratios of α-decays from the ground state of a parent nucleus to the ground state 0~(+) of its deformed daughter nucleus and to the first excited state 2~(+) are calculated in the framework of the cluster model. The results indicate that a measurement of α spectroscopy is a feasible method to extract the information of nuclear deformation.     

声光晶体溴化铅的生长及性能的研究

采用坩埚下降法沿「００１」方向生长出长度为６０ｍｍ、直径为２５ｍｍ的溴化铅晶体，并对该晶体进行了定向，测定了其光度体方位及其主折射率，测得该晶体的透过率范围复盖自０．３μｍ至２５μｍ的整个区域，其声光优值为５１１。     

钇钡铜氧单畴超导块的多籽晶制备方法

顶部籽晶技术与熔融织构生长工艺的结合已经被证明是制备单一晶体取向的YBaCuO单畴超导体的成功方法．由于YbaCuO晶体的生长速度慢，使大尺寸单畴超导快的制备受到限制．采用多籽晶的方法可以减少生长大块材料的时间，但多籽晶诱导生长的大晶粒的边界通常是弱耦合的，材料的磁浮力和冻结磁场性能明显低于单籽晶生长的材料．本研究在采用多籽晶法制备YBCuO超导块时，通过在先驱物坯料的顶部增加成分梯度过渡层的方法成功地生长出单畴结构的超导材料．冻结磁通的分布为单峰状，证实材料为单畴结构，其磁浮力也达到单籽晶样品的水平．这些结果表明成分梯度层和多籽晶结合的工艺可以改善多籽晶生长样品的晶界耦合，是生长大尺寸单畴超导材料的一种可行方法．     

Ag/Bi4Ti3O12栅n沟道铁电场效应晶体管制备及存储特性

在溶胶-凝胶工艺获得高质量Bi4Ti3O12薄膜的基础上,制备了Ag/Bi4Ti3O12栅n沟道铁电场效应晶体管. 研究了Si基Bi4Ti3O12薄膜的生长特性及其对铁电薄膜/硅的界面状态和铁电场效应晶体管存储特性的影响. 研究表明,在合理的工艺条件下可以获得具有较高c-轴择优取向的纯钙钛矿相Si基Bi4Ti3O12铁电薄膜并有利于改善Bi4Ti3O12/Si之间的界面特性; 顺时针回滞的C-V特性曲线和C-T曲线表明Ag/Bi4Ti3O12栅n沟道铁电场效应晶体管具有极化存储效应和一定的极化电荷保持能力; 器件的转移(Isd-VG)特性曲线显示Ag/Bi4Ti3O12栅n沟道铁电场效应晶体管具有明显的栅极化调制效应.     

超Brown运动的S-极集与非线性微分方程的解

给出R^d (d≥3)中规则集D上偏微分方程-1/2Δv(x)+γ(x)v(x)^α=0的最大、最小正解的概率表达式,其中D满足其补集D^c为紧集, γ(x)为D中正的有界可积函数, 且1<α≤2.作为其应用, 给出紧集是S-极集的充分必要条件.     

Optical properties and frequency conversion with AgGaGeS4 crystal

The basic optical property and phase-matching of new mixed AgGaGeS_4 crystal are presented. Frequency conversion, in particular the SHG of 30ns pulses of 9μm emission band of transversely excited atmospheric-pressure (TEA) CO_2 laser, is realized in AgGaGeS_4 for the first time. As high as 0.57% peak power and 0.3% external energy efficiencies, and 0.7mJ harmonic pulse energy are obtained for the 9.55μm emission line at pump intensity of 4% level of the damage threshold.     

Two-Dimensional Photonic Band-Gap Defect Modes with Deformed Lattice

A numerical study of the defect modes in two-dimensional photonic crystals with deformed triangular lattice is presented by using the supercell method and the finite-difference time-domain method. We find the stretch or shrink of the lattice can bring the change not only on the frequencies of the defect modes but also on their magnetic field distributions. We obtain the separation of the doubly degenerate dipole modes with the change of the lattice and find that both the stretch and the shrink of the lattice can make the dipole modes separate large enough to realize the single-mode emission. These results may be advantageous to the manufacture of photonic crystal lasers and provide a new way to realize the single-mode operation in photonic crystal lasers.     

数学实验课程建设的若干思考

论述了数学实验课程在大学数学教育中的地位,阐述了它的教学指导思想,并分析了它与相关课程的关系及自身的某些特点.     

指数型变化有效质量的三维Schrdinger方程的解析解

对随径向坐标指数型变化的有效质量分布,通过坐标变换,得到了与Coulomb型势,Kratzer型势和无限深球方势阱三类势函数相联系的变质量三维Schr dinger方程的解析解,具体给出了这三类系统的能量本征值和本征函数的解析表达式.