First-Principles Study of Structural and Electronic Properties of Layered B2CN Crystals

Based on the hexagonal BN structure, six possible layered B~ CN structures are constructed. Their total energies, lattice constants as well as electronic properties are calculated using the ab initio pseudopotential density functional method within the local density approximation. The calculated results show that the B2 CN-V configuration with AA stacking sequence is the most stable among the six B2CN layered structures. The characteristics of electronic structures indicate that the B2 CN-V shows metallicity, which mainly comes from -B1-C-B1-C- chains.     

Noncontinuous Solitary Wave Solutions for Double sine-Gordon Equation

Using the tanh method and a variable separated ordinary difference equation method to solve the double sineGordon equation, we derive some new exact travelling wave solutions, especially a new type of noncontinuous solitary wave solutions. These noncontinuous solitary wave solutions are verified by using the conservation law theory.     

转动相对论Birkhoff系统动力学的场方法

给出转动相对论Birkhoff系统动力学方程的一种积分方法,并举例说明方法的应用. 关键词： 转动相对论 Birkhoff动力学 积分方法     

SYMMETRIES OF MECHANICAL SYSTEMS WITH NONLINEAR NONHOLONOMIC CONSTRAINTS

The dynamical symmetries and adjoint symmetries of nonlinear nonholonomic constrained mechanical systems are analysed in two kinds of geometrical frameworks whose evolution equations are Routh's equations and generalized Chaplygin's equations, respectively. The Lagrangian inverse problem and the interrelation between Noether's symmetries and dynamical symmetries are briefly concerned with. Finally an illustrative example is analysed.     

形变谐振子相干态及其对SUq（3）的应用

该文讨论了形变诺振子相干态的一些有意义的性质，利用量子代数SUq（3）的形变谐振子实现，构造了SU3（q）在玻色、费米两种情况下的相干态．     

含顺磁杂质超导体中的束缚态

本文利用广义正则变换和自洽场方法,讨论了单个杂质对超导体的影响。证明在磁性杂质附近,可能形成一个束缚态的元激发,其能量位于能隙之中。求出了能级和波函数的解析表达式,并计算了束缚能级所引起的附加电磁吸收。讨论了与此有关的隧道和高频吸收实验。此外,还讨论了非磁性杂质对连续谱元激发的影响及杂质附近能隙的变化。     

有限元/边界元耦合方法在海洋生物目标强度特性研究的应用*

目标强度特性是海洋生物声学识别与资源量评估的重要依据,其中,基于近似几何体和声阻抗特性的理论模型法是研究海洋生物目标强度的重要手段。由于对几何形态近似处理以及数值求解方法的限制,传统理论模型对声波频率、入射方位以及目标声阻抗、形态尺寸等均有各自不同的适用范围,单一模型难以满足不同种类或同一种类但不同尺寸海洋生物的目标强度求解。本文尝试将逐渐见诸应用的有限元/边界元耦合方法用于海洋生物目标强度特性研究,分别以球形生物、纺锤形鱼类尾明角灯鱼(Ceratoscopelus warmingii)和细长形浮游动物南极大磷虾(Euphausia superba)为例进行仿真计算,并与相适应的经典理论模型进行对比分析。结果表明,对于球形生物,有限元/边界元耦合方法与解析模型的目标强度频响曲线完全吻合;对于纺锤形鱼类,有限元/边界元耦合方法可有效弥补基于模态级数解的形变圆柱体模型在中低频和两端入射时的准确性问题;对于细长形浮游动物,有限元/边界元耦合方法与畸变波玻恩近似模型高度吻合。综上,有限元/边界元耦合方法对多种海洋生物目标强度求解均具有较好的适用性,未来有待进一步结合实验测定进行验证。     

采用GAF-D3Net深度学习网络的水下目标有源识别方法

提出一种基于格拉姆角场(GAF)和卷积神经网络(CNN)的水下目标有源识别方法。该方法利用GAF将目标回波信号编码为二维图像,使用空洞卷积构建轻量级的卷积神经网络GAF-D3Net实现对目标的特征提取与分类识别。实验表明,与基于传统图像特征的分类方法相比,所提方法的分类精度有显著提高,达到99.65%。在泛化性测试中,对比了经典CNN使用声呐图像的迁移学习方法,本文方法的曲线下面积(AUC)达到89%,具有更好的泛化性能以及抗干扰能力,为实现水下目标有源识别提供了一种可靠方法。     

STUDIES ON HYPERFINE STRUCTURE AND ISOTOPE SHIFT OF SOME EXCITED STATES IN Yb AND Tm ATOMS

The hyperfine structures and isotope shifts in some excited states of Yb and Tm have been measured using laser-atomic beam interaction, stepwise excitation and fluorescence detection techniques. From the experimental results, magnetic dipole hyperfine constants A and electric quadrupole hyperfine constants B have been derived. So for as we know, the A factor of [4f¹²5d6s6p]9/2 level in Tm is given for the first time.     

一种新的DENUDATINE型C20二萜生物碱结构的NMR研究

从内蒙西伯利亚乌头中分离得一个新的C20二萜生物碱,采用选择性远程DEPT,同核和异核二维NMR技术相结合进行了研究,其结构确定为Lepenine的C－11基向立体异构体,定名为11a－hydroxylapenine．结果表明,选择性远程DEPTNMR技术对于连接这类化合物中被季碳和杂原子分割的NMR自旋体系,测定基本骨架和确定信号归属都有独到之处．