外电场作用下平面转子Rydberg波包的演化和恢复

利用Rydberg波包分析量子力学体系的动力学行为是研究经典力学和量子力学的对应关系的一个非常重要的方法.本文主要研究了在外电场作用下平面转子的Rydberg波包的演化和恢复结构.结果表明:在弱电场作用下,波包仍可周期性的坍塌和恢复,但在强电场作用下,平面转子的Rydberg波包演化结构则与谐振子的相符.     

转子转速和流体空间对旋转法测量黏度的影响

研究了测定流体的黏度实验中转子转速和流体空间对旋转法测量黏度的影响,推导出转子偏转角与黏度测量误差之间的关系式,并应用实验数据进行了验证;流体空间对黏度测量的影响随流体空间直径的增大而减小,当流体空间直径达到102.38 mm后,测量的黏度值趋于稳定.     

Cl+CH4反应的含时量子动力学研究

基于新的势能面,运用半刚性振动转子靶(SVRT)模型和含时波包法对Cl+CH4→HCl+CH3反应体系进行了计算,给出了反应过程中体系的振动、转动及空间立体效应对该反应的反应几率和反应阈能的影响,并计算了基态的总散射截面和热速率常数.     

基于流量平衡的波转子初步设计方法

波转子可以在不提高涡轮前温度的条件下提高燃气轮机循环的最高温度以及增压比,进而改善燃气轮机性能.本文提出了一种解析的波转子初步设计方法,在其中引入流量平衡约束条件,并用数值模拟验证了该方法的设计精度.该方法求解得到波转子的参数化设计空间,并由此归纳出波转子增压性能与压缩空气品质的优化设计方法.     

基于元胞储存的小波聚类转子故障诊断

针对传统小波聚类高维空间复杂度高,提出基于元胞储存的改进小波聚类算法;通过对转子故障模拟实验采集的数据,对其聚类分析,结果表明:元胞储存能够降低算法的空间复杂度,提高算法的效率;将改进的小波聚类算法应用于转子故障诊断,与常见的几种转子故障诊断方法相比,结果表明:基于元胞储存的小波聚类转子故障诊断方法具有自动聚类,处理速度快,精度高,适合应用在高维数据空间中等优点,对转子故障状态能够很好地进行区分。     

简并完全未消除情形下的二级微扰公式

本文修改了在一级近似下简并完全未消除情形下的二级修正公式，并以平面转子在外电场中微扰为例说明其应用。     

读者 作者

对“大振幅平面声波的反射和折射(Ⅱ)——二维情况”一文的批评声学学报编辑部: 我读了“大振幅平面声波的反射和折射(Ⅱ)——二维情况”一文(文献[1]之后,发现该文的定解条件和它要解决的问题(平面半空间的反射与折射)是自相矛盾的,因为该文在推导二阶势函数所满足的波动方程时,强行令一阶声场势函数必须满足只有在无界空间才满足的单向波条件,而该文要处理的空间却是有界空间(平面半空间),方程与实际情况相悖,因而该文得到的二阶声场表达式没有科学根据,其分析如下。     

斜置平面天线阵的近场-远场方向图分析

从平面近场扫描数据处理原理和平面天线阵方向图理论出发,分析了相对于平面近场扫描平面斜置的平面天线阵方向图.基于斜置平面天线阵的空间结构关系,选择阵面旋转轴与阵面法线形成的平面为性能评估考察平面,发展了一种快速计算性能评估平面方向图的方法.得出该平面与平面近场扫描坐标系单位方向球相交曲线的轨迹参数方程.利用快速傅里叶变换技术,计算出斜置平面天线阵平面近场扫描空间方向图,在此基础上结合轨迹参数方程和二维插值方法解出对应该性能评估平面的方向图数据.数值仿真和实际应用结果表明该分析结论和方法的可靠性与实用性.     

基于位平面分布特征的图像检索算法

针对利用颜色直方图检索时存在的问题,提出了一种基于位平面空间分布特征的图像检索算法.首先结合光照、锐化、模糊等噪声的攻击特点,将图像分解为8个位平面,然后提取对表征图像结构特征有意义的4个位平面的空间分布信息组成特征矢量来多层次地对图像特征进行描述.为了避免图像中像素灰度值的微小变化对位平面的影响,又提出了采用位平面的格林码表示方法.考虑到位平面之间的相关性,最后设计了权值矩阵,采用马氏距离进行相似性度量.实验结果表明,该算法利用位平面分解的方法来提取颜色的空间分布特征,又避免了颜色量化引起的误检问题,而且提取的特征矢量维数较低,因而具有较高的检索率.     

基于位平面分布特征的图像检索算法

针对利用颜色直方图检索时存在的问题,提出了一种基于位平面空间分布特征的图像检索算法.首先结合光照、锐化、模糊等噪声的攻击特点,将图像分解为8个位平面,然后提取对表征图像结构特征有意义的4个位平面的空间分布信息组成特征矢量来多层次地对图像特征进行描述.为了避免图像中像素灰度值的微小变化对位平面的影响,又提出了采用位平面的格林码表示方法.考虑到位平面之间的相关性,最后设计了权值矩阵,采用马氏距离进行相似性度量.实验结果表明,该算法利用位平面分解的方法来提取颜色的空间分布特征,又避免了颜色量化引起的误检问题,而且提取的特征矢量维数较低,因而具有较高的检索率.     

Algebraic structure and Poisson＇s theory of mechanico-electrical systems

The algebraic structure and Poisson's integral theory of mechanico-electrical systems are studied. The Hamilton canonical equations and generalized Hamilton canonical equations and their the contravariant algebraic forms for mechanico-electrical systems are obtained. The Lie algebraic structure and the Poisson's integral theory of Lagrange mechanico-electrical systems are derived. The Lie algebraic structure admitted and Poisson's integral theory of the Lagrange--Maxwell mechanico-electrical systems are presented. Two examples are presented to illustrate these results.     

Virtual-site correlation mean field approach to criticality in spin systems

We propose a virtual-site correlation mean field theory for dealing with interacting many-body systems. It involves a coarse-graining technique that terminates a step before the mean field theory: While mean field theory deals with only single-body physical parameters, the virtual-site correlation mean field theory deals with single- as well as two-body ones, and involves a virtual site for every interaction term in the Hamiltonian. We generalize the theory to a cluster virtual-site correlation mean field, that works with a fundamental unit of the lattice of the many-body system. We apply these methods to interacting Ising spin systems in several lattice geometries and dimensions, and show that the predictions of the onset of criticality of these models are generally much better in the proposed theories as compared to the corresponding ones in mean field theories.     

Fluctuations of expectation values in chaotic systems and broken time-reversal symmetry

Fluctuations of expectation values of observables are calculated in complex quantum systems, such as disordered metallic grains or quantum systems with classical chaotic motion. We derive an exact expression for these fluctuations valid for systems with and without time-reversal symmetry, as well as in the transition region between these two cases. We compare our results with those of a semiclassical theory and with simulations of random matrices.     

On Thermodynamical Relation Between Rotating ChargedBTZ Black Holes and Effective String Theory

In this paper we study the first law of thermodynamics for the (2+1)-dimensional rotating charged BTZ black hole considering a pair of thermodynamical systems constructed with the two horizons of this solution. We show that these two systems are similar to the right and left movers of string theory and that the temperature associated with the black hole is the harmonic mean of the temperatures associated with these two systems.     

Non-Noether symmetries and Lutzky conserved quantities for mechanico-electrical systems

We apply the non-Noether symmetry theory for mechanical systems to Lagrange–Maxwell mechanico-electrical systems. For these systems, we derive the Lutzky conserved quantities from the corresponding equations of motion, the non-conservative and the dissipative forces, and the Lagrangian. Also, a condition that characterizes when a non-Noether symmetry leads to a Noether conservation law is presented.     

Quantum Statistics for General Quadratic System

By the generalized linear quantum transformation theory, we concisely derive the analytic expressions of partition function for general quadratic systems of multi-mode boson and fermion Fock space without any information for the energy spectrum. Under a general condition, we firstly acquire the exact expressions of energy spectra for these systems.     

Nonlinear dynamics of physiological function and control

Complex rhythms are observed in the physiological systems that control and carry out vital bodily functions. Theoretical approaches to analyze the physiological systems include control theory and computation theory. Complementary to these approaches is nonlinear dynamics, which offers ways to classify both normal and abnormal dynamics, and to analyze bifurcations occurring in physiological dynamics.     

一类关联混沌系统的分时切换混沌同步

提出关联混沌系统分时切换混沌同步的思想.利用线性反馈控制方法实现一类关联混沌系统中各个子系统与其复制系统间的分时切换混沌同步.根据时变系统的稳定性理论,得到了使各子系统都能实现混沌同步的反馈控制增益的取值范围.数值仿真实验证明了理论分析的正确性和可行性. 关键词： 分时切换混沌同步 线性反馈 关联混沌系统     

Debye-Hückel limit of quantum coulomb systems

In this paper, we consider charge symmetric quantum Coulomb systems with Boltzmann statistics. We prove that the theory of screening of Debye and Hückel is a combined classical and mean field limit of these quantum Coulomb systems.Supported by the Swiss National Foundation for Scientific Research     

Hyperchromats with linear dependence of longitudinal chromatic aberration on wavelength

Optical lens systems that are characterized by a chromatic aberration of a predefined form are called hyperchromats. Our work describes a theory of hyperchromats with a linear dependence of longitudinal chromatic aberration on wavelength. The equations are derived for calculation of basic design parameters of these optical systems and some examples of hyperchromatic optical systems are shown. Mentioned optical systems can be used especially in 3D imaging systems and confocal microscopy.