Statistical Properties and Algebraic Characteristics of Quantum Superpositions of Negative Binomial States

We introduce new kinds of states of quantized radiation fields,which are the superpositions of megative binomial states.They exhibit remarkable nonclassical properties and reduce to Schrodinger cat states in a certain limit.The algebras involved in the even and odd negative binomial states turn out to be generally deformed oscillator algebras.It is found that the even and odd negative binomial states satisfy the same eigenvalue equation with the same eigenvalue and they can be viewed as two-photon nonlinear coherent states.Two methods of generating such the states are proposed.     

The Features of Infrared Absorption of the Protein Molecules in the Living System

We utilize a vibron-soliton model for amide-I vibrational quanta interacting with optical phonons to study the feature of infrared absorption of the protein molecules with finite temperatuse.The self-trapping of amide-Ik vibrational quantum results in red shift of the main peak and largely anomalous band to occur in the infrared absorption for the protein molecules.utilizing the concise model of vibron and improved theory of color centers we have given theoretically the value of red shifts of the main peak and the intensity of anomalous band in infrared absorption,respectively,the latter reduces with increasing temperature which is consistent with the experimental result.     

用特征编码模板实现多模式分类识别的方法

以编码理论和神经网络优化算法为基础,提出了一种构造编码模板用于识别某一类模式集的方法,并以26个大写英文字母的识别作为实验进行了研究。     

有限外尺度对大气湍流统计特征测量的影响

有限外尺度影响下的相位结构函数和孔径平均的斜率相关函数的表达式,结果表明有限的大气外尺度对大气流流统计特征的测量有很大的影响,尤其对大尺寸的望远镜和子孔径更是如此。基于科尔莫戈罗夫模型的大气相位结构函数和相干长度仅仅是本文推导结果的近似。对结果的分析表明,测量得到的对大气湍流科尔莫戈罗夫模型的偏离有可能是大气外尺度的影响,而不完全是真正的偏离。     

同步辐射X荧光分析中的逃逸峰的测量和计算

Si(Li)探测器引起的同步辐射X射线荧光(SR-XRF)谱中的逃逸峰,严重干扰利用XRF谱进行的定性和定量分析.对实验中的逃逸峰进行了鉴别.测定了14个样品的从K K_α到As K_α12个元素的标识谱的逃逸峰的强度和峰位.比较了逃逸峰与最近主峰能量差的实验值和标准值,一般误差小10%.用简化的X射线激发的Si K_α分布出射模型,计算元素逃逸峰强和其主峰强的比值,发现随原子序数增加,实验和理论比值都从约1%下降到0.1%左右.     

数学机械化在转子系统分析中的应用

以转子－轴承系统中两圆盘转子为研究对象,在计及陀累力矩的条件下,通过对两圆盘转子临界转速与振型参数的分析,对吴消去法在转子动力学研究中的应用做了初步探索,将吴消去法的特征列思想 Maple软件的符号计算功能相结合,实现了对两圆盘转子临界转速与振型参数的解析计算与分析。     

杆的初应力及识别

提出用数值特征描写杆中初应力的方法,建立初应力位形上的小变形动力学方程,由此讨论初应力对杆小变形力学行为的影响与用受初应力影响的附加变形来识别和测定初应力的数值特征的途径。     

最大特征根的极值六角链

定义了六角链的一种翻转-粘贴运算, 利用这一运算, 证明了Gutman 猜想.这一证明思想也可用于证明关于Hosoya指标和Merrifield-Simmons 指标的极值六角链的结果.     

关于矩阵相似中变换矩阵的一般形式

本利用Jordan标准形理论,给出了矩阵相似中的变换矩阵的一般表达形式。     

The reliability of measurements on electron energy distribution function in silane rf glow discharges

Electron energy distribution function (EEDF) is a key parameter of plasmas, which is directly proportional to the second derivative of the probe I-V characteristics. Because of an amplifying effect of unavoidable noises in the experimental probe I-V curves during the derivation process, the experimental I-V curves should be smoothed before performing the numerical derivation. This paper investigates the effect of adjustable factors used in the smoothing process on the deduced second derivative of the I-V curves, and an optimum group of the adjustable factors is selected to make the rms deviation of the smoothed I-V curves from the measured curves less than 1%. A simple differentiation circuit is designed and used to measure the EEDF parameter straightforwardly. It is the first time, so far as we know, to measure the EEDF parameters simultaneously by means of both numerical and circuit derivative methods under the same discharge conditions and on the same discharge equipment. The deviation between two groups of mean electron energy E and electron density n_e obtained by the above different methods is within about 7%. This apparently improves the reliability of the measurements of the EEDF parameters.