Construction of AFLT States for W_NH Symmetry,Analytic Continuation and Integrability on AGT Relation

We propose a Hamiltonian to the construction of the AFLT states for WNsymmetry. We generalize the AGT relation to generic(extended) conformal field theory with 1 ≤ c ∞. We analyze the triangular structure hidden in the AGT relation with WNsymmetry in detail and the triangular structure implies the integrability.     

Recursion Formulas to Find Solutions of Some Nonlinear Evolution Equations

New recursion formulas are obtained for finding solutions of some nonlinear evolution equations.     

反射法和自准法测三棱镜顶角的比较

通过对反射法和自准法测量三棱镜顶角的比较,从测量的准确程度以及实验过程中操作容易程度来看,自准法更适合测量三棱镜顶角。     

Construction of Recursion Formulas for Lax Pairs of (2+1)-Dimensional Equation:Modified Generalized Dispersive Long Wave Equation

In this article, we study the Lax pairs of (2+1)-dimensional equation: the modified generalized dispersive long wave (MGDLW) equation. Based on the well-known binary Darboux transformation, we dig out the recursion formulas of the first part of the Lax pairs. Then by further discussion and doing some revisional work, we make the recursion formulas fit for the second part of Lax pairs. At last, some solutions to the MGDLW equation are worked out by using the recursion formula.     

An Iterative Formula for the Reflection Coefficient of Multi-layer Thin Film and Its Application in the Design of Optical All Pass Filter

In this paper, an iterative formula for the reflection coefficient of the multi-layer thin film is deduced and the design of multi-layer thin film gires-tournois interferometer optical all pass filter(GTI-OAPF) is discussed. The group delay τm ranges from 0. 06 to 460 ps and the bandwidth △ω ranges from 0.068 to 0.0000079 (1015 rad/s). By changing the incident angle θ0, the multi-channel dispersion compensation may be achieved.     

An Iterative Formula for the Reflection Coefficient of Multi-layer Thin Film and Its Application in the Design of Optical All Pass Filter

In this paper, an iterative formula for the reflection coefficient of the multi-layer thin film is deduced and the design of multi-layer thin film gires-tournois interferometer optical all pass filter(GTI-OAPF) is discussed. The group delay τm ranges from 0.06 to 460 ps and the bandwidth Δω ranges from 0.068 to 0.0000079 (1015 rad/s). By changing the incident angle θ0, the multi-channel dispersion compensation may be achieved.     

递归方法和团簇磁性的计算

介绍了如何应用递归方法将哈密顿矩阵三对角化,从而求得局域态密度 ,并以计算铑团簇的磁矩为例,说明了递归方法在研究团簇的电子结构方面的应用。     

纯水的激光反射率的研究

以纯水为研究对象,利用激光测量了其反射率,并利用菲涅耳公式对反射率进行了计算。比较反射率的计算值和实测值发现有明显的偏离（偏离相对值为8．317％）。对此进行了误差分析,排除这种偏离是主要由试验和计算误差引起的可能性（这些误差累积不会超过1．083％）。利用带消光系数的反射率菲涅耳公式进行修正计算,反射率计算结果与实测值很接近。说明并非只有金属等物质在进行反射率计算时需考虑能量吸收的问题,对于完全符合菲涅尔公式适用条件的纯水来说,在进行反射率计算时同样需引入修正系数。     

光的界面反射特性研究

以菲涅尔公式为基础,推导得出物质反射率与交界的两种介质相对折射率的关系,并用Origin软件进行数值模拟,很好地解释了光反射中的一种实验现象。     

渐变折射率波导传播特性微扰计算的代数递推公式

应用量子力学的超位力定理（HVT）和赫尔曼－费恩曼（Hellmann-Feynman）定理（HFT），导出了用微扰法计算渐变折射率平面波导传播常数各级近似值的代数递推公式，并给出了由传播常数近似值计算模场近似表达式的代数式。计算了几个典型实例，此法的特点是便于直接计算任意级近似的传播常数及模场分布，且可推广到二维波导的计算。     

用微元法推导无阻尼单摆运动任意角度下的周期公式

对单摆运动进行了讨论。通过对单摆进行能量分析,得出了单摆角频率与角度的关系式,然后运用微元法,推导出了单摆的理论周期公式。计算结果表明,所得到的单摆运动周期的理论公式与展开公式符合得很好。     

关于结合能公式的一种改进方法与普适的修正公式

将核子间的相互作用简化为核力键,从而根据核力键假设推导出结合能公式中^[1]的体积能项与表面能项;并利用21H的结合能的实验值给出二者的系数值,从而使得结合能公式的参数个数减少了两个.     

Research of the behaviour of O chemisorption on the (110) surface of Rhx--Pt1－x alloy

An atomic group model of the disordered binary alloy Rhx-Pt1-x has been constructed to investigate surface segregation. According to the model, we have calculated the electronic structure of the Rhx-Pt1-x alloy surface by using the recursion method when O atoms are adsorbed on the Rhx-Pt1-x （110） surface under the condition of coverage 0.5. The calculation results indicate that the chemical adsorption of O changes greatly the density of states near the Fermi level, and the surface segregation exhibits a reversal behaviour. In addition, when x 〈 0.3, the surface on which O is adsorbed displays the property of Pt; whereas when x 〉 0.3 it displays the property of Rh.     

奇A Lu同位素负宇称Yrast带的研究

利用粒子一转子模型研究了奇A Lu核负宇称Yrast态带交叉前后的能谱和跃迁几率,理论值和实验值符合得较好.研究表明,^{161,163,165,167}Lu负宇称Yrast态是三轴形变的;ab公式正确地描述了带交前后核心的转动惯量随角动量I的变化.     

Reflection and refraction by interfaces of uniaxial crystals

We present a simple and complete approach to determining the directions and amplitudes of rays propagating through arbitrary systems of homogeneous and/or uniaxial materials. In the process we extend the work of Gu and Yen to full generality.     

反射光谱包络线法测量光电薄膜的光学常数和厚度

提出了一种利用薄膜反射光谱包络线法计算光电薄膜光学常数和厚度的方法。当一束光照射在基板上的介质膜上时,由于薄膜上、下界面反射光的相干,会使反射光谱的曲线有一定的波动。本文对反射光谱进行了理论分析,给出计算公式,从测量曲线中的实验值得出薄膜的厚度和光学常数。此种方法计算过程简单、迅速,而且易于编程处理。     

Analysis of the Reflection Spectra of Pine Needles by the Method of Numerical Differentiation

The influence of aqueous solutions of H₂SO₄ on the spectral indices of pine needles has been investigated. It is shown that the first derivatives of the coefficients of reflection in the range 712.5–740.0 nm are most sensitive to changes in the content of chlorophyll and in the number of air spaces of mesophyll on exposure to acid solutions.     

衰减全反射红外光谱对易燃液体的快速筛选

纵火是一种严重危害公共安全和社会稳定的个人极端暴力犯罪行为。在纵火案件调查过程中，火灾残留物中的易燃液体(ILs)是确定火灾性质和判断起火原因的重要物证，ILs的分析一直是法庭科学工作者关注的热点。利用衰减全反射红外光谱法(ATR-FTIR)对汽油、柴油、煤油、植物油等常见ILs进行检验，结合主成分分析(PCA)、层次聚类分析(HCA)、判别分析(DA)三种化学计量学方法，实现了常见易燃液体的快速筛选。通过红外光谱定性分析，汽油、柴油、植物油与含氧有机溶剂的红外光谱图差异明显，可相互区分，而柴油、煤油、航空煤油、溶剂油、汽轮机油五类ILs的红外谱图无明显差异，仅通过图谱的直接比较，无法进行区分。重点选取1 136~976 cm-1范围的红外特征吸收峰，结合PCA，PCA-HCA，PCA-DA化学计量学方法进行比较，成功将航空煤油与与其余四类ILs区分开；最后选取837～400 cm-1范围的红外特征吸收峰，利用PCA，PCA-HCA，PCA-DA方法，可将其余四种ILs实现互相区分。研究结果表明，ATR-FTIR结合化学计量学方法对常见ILs进行定性分析，具有方便、快捷、准确的优点，可作为ILs种类的快速筛选方法。     

光波经多层介质膜反射的时延表达式

利用基于多光束干涉原理的等效腔模型导出了多层介质膜的反射系数的递推式,在此基础上证明了在中心频率附近,复反射系数可表示为中心频率处的反射系数与相位因子的积,进而导出了相位角的函数和反射时延的表达式。     

菲涅耳公式的研究及数值模拟

菲涅耳公式阐述了光在两种不同透明介质的分界面上,发生反射和折射现象时,反射光、折射光的振幅变化规律。本文通过对菲涅尔公式的变形处理,得到了新的表达形式,并且应用Matlab软件进行了数值模拟,使菲涅耳公式的物理意义更清晰明了。