用图解法拟合线性方程时其不确定度的计算

本文给出了用图解法拟合线性方程时其不确定度的计算过程,并讨论了图解法的使用方法。     

标定X射线粉末照相指数的新图解法,推广于正交晶系与单斜晶系

本文叙述了X射线粉末照相指数的新图解法在正交晶系与单斜晶系中的应用。由于在这两个晶系中所须确定的原始参量多于2,所以不可能像在四方晶系或六角晶系的情形,一次用图解法在平面上求得晶胞的所有初基参量。本文分析了正交晶系与单斜晶系的一些特殊情形,可用新图解法对粉末照相上一些特殊情形下的衍射线指数进行标定。为方便起见,图解法是尽量用线坐标进行的。     

评析2013年高考理综(山东卷)第22题

在运用解析法和图解法对2013年高考理综(山东卷)第22题的对比研究中,体会应用图解法解决问题的直观方便,以及对学生能力培养的重要.     

用图解法巧解一题

图解法具有直观、形象等特点,物理教学中一般能表达为数学式子的物理规律和概念,都可以用物理量间的图线关系分析讨论.用图解法教学可启迪和发展学生的思维能力,有利于学生认识各物理量间的制约关系,突破教学难点、解答物理习题和处理实验结果.本文拟通过具体事例探讨图解法在动能定理应用中的妙用.     

基于multisim与matlab软件的场效应管图解分析仿真研究

通过multisim软件仿真模拟场效应管的转移特性与输出特性,拟合出函数,利用函数绘图,最后结合图解法的具体步骤与要求用matlab数学软件对场效应管放大电路进行详细动态分析,补充模拟电子技术教材在场效应管图解法部分的不足。     

图解法分析自聚焦透镜的物像关系

从自聚焦透镜的成像特性出发,导出了自聚焦透镜与普通透镜相同的高斯物像公式.采用理想光具组图解法分析了自聚焦透镜子午光线的成像.该成像法只需要找出基点、基面的位置,利用两条特殊光线,便可以在确定物体具体位置和高度的情况下通过图解法,得出像的具体位置和大小.对直径为1.82 mm的自聚焦透镜的物像关系进行了实验研究,结果表明图解法能够很好地分析自聚焦透镜成像.     

应用微机计算连杆式抓片机构的一种方法——矢量法

间歇式高速摄影机的核心部件——抓片机构,大都采用连杆式机构,其计算、设计,一般都沿用图解法,而很少对它进行计算。原因是一般用的计算方法复杂而繁琐。显然,图解法精度较差,找不到最佳值,影响该类高速摄影机频率的进一步提高。     

有限深方势阱图解法的改进

对有限深方势阱中的能级方程做一个简单的数学变换,从而将常用的图解法中的函数图像简化,使得有限深方势阱问题的物理图像变得更清晰,更有利于大家理解这个简单而重要的模型.文中还利用改进后的图解法简单讨论了一些有限深方势阱的性质.     

RLC串联电路欠阻尼信号衰减常数可视化测量的评估与修正

采用三种示波器可视化方法测量RLC串联电路欠阻尼信号的衰减常数,并对测量结果进行比较与修正,发现无论是传统包络线法近似测量、还是图解法、比值法精确测量,测得的时间常数都与理论值存在超过10%的较大偏差。Desmos软件拟合欠阻尼图像时,使用图解法和比值法测得的时间常数与理论值相差小于0.1%,说明图解法和比值法的确能够较准确地测量时间常数,实际操作过程中存在的系统误差主要来源于电容和电感的内阻。采用能量损耗方程式,计算损耗电阻,并对理论值进行了修正,修正后的理论值与实验测量值相对误差小于1%,说明了修正的有效性。     

标注立方、六方、四方及正交晶系粉末法X射线图谱指数的直线图解法

本文提出一个新的图解法,用它可以标注立方、六方、四方及正交晶系粉末法X射线图谱上衍射线条的指数。这种直线图解法的特点是:(1)作图简单;(2)立方、六方、四方及正交晶系合用同一直线图;(3)由直线图可分别求出晶格常数a,b,c的数值;(4)在使用上不受反射级数“n”的限制。     

无限次微扰理论的分块矩阵法证明

无限次微扰理论是求解无序体系格林函数的理论方法。此方法是吴式玉教授及其合作者们用“图式法”获得的。本文采用把矩阵分块,求解子矩阵方程的方法,推导了这一理论的结果,从而给出了这一理论的矩阵代数证明。 关键词：     

Many-body diagrammatic expansion in a kohn-sham basis: implications for time-dependent density functional theory of excited states

We formulate diagrammatic rules for many-body perturbation theory which uses Kohn-Sham Green's functions as basic propagators. The diagram technique allows one to study the properties of the dynamic nonlocal exchange-correlation (xc) kernel f(xc). We show that the spatial nonlocality of f(xc) is strongly frequency dependent. In particular, in extended systems the nonlocality range diverges at the excitation energies. This divergency is related to the discontinuity of the xc potential.     

Bold diagrammatic Monte Carlo technique: when the sign problem is welcome

We introduce a Monte Carlo scheme for sampling a bold-line diagrammatic series specifying an unknown function in terms of itself. The range of convergence of this bold(-line) diagrammatic Monte Carlo (BMC) technique is significantly broader than that of a simple iterative scheme for solving integral equations. With the BMC technique, a moderate "sign problem" turns out to be an advantage in terms of the convergence of the process. For an illustrative purpose, we solve the one-particle s-scattering problem. As an important application, we obtain the T matrix for a Fermi polaron (one spin-down particle interacting with the spin-up fermionic sea).     

Dephasing effects in nonlinear δ-models: A phenomenological approach

We introduce a technique of simulating the destruction of mesoscopic conductance fluctuations phenomenologically within the nonlinear -formalism. A similar approach has already been applied within diagrammatic models. Dephasing is generated by adding a second random potential to the Hamilton operator which differs from the potential describing the metallic disorder only in its statistical properties. For that reason, the approach cannot serve to describe physical effects relying on dynamic aspects of dephasing interactions (e.g. the destruction of weak localization effects). The technique is introduced within the framework of a scattering-theoretical model of mesoscopic systems.     

Diagrammatic method for generalized Pauli operators

A new diagrammatic technique for complicated level many-body systems is presented using generalized Pauli operators. The resulting diagrams are considerably simpler than those constructed by the standard basis operators.     

Green’s function calculations of light nuclei

The influence of short-range correlations in nuclei was investigated with realistic nuclear force. The nucleon-nucleon interaction was renormalized with V_lowk technique and applied to the Green’s function calculations. The Dyson equation was reformulated with algebraic diagrammatic constructions. We also analyzed the binding energy of ⁴He, calculated with chiral potential and CD-Bonn potential. The properties of Green’s function with realistic nuclear forces are also discussed.     

Regularization of diagrammatic series with zero convergence radius

The divergence of perturbative expansions which occurs for the vast majority of macroscopic systems and follows from Dyson's collapse argument prevents the direct use of Feynman's diagrammatic technique for controllable studies of strongly interacting systems. We show how the problem of divergence can be solved by replacing the original model with a convergent sequence of successive approximations which have a convergent perturbative series while maintaining the diagrammatic structure. As an instructive model, we consider the zero-dimensional |ψ|? theory.     

On the zero-bandwidth limit in diagrammatic perturbation technique for a model of an intermediate valent impurity

The limit of zero bandwidth in a model for an intermediate valent impurity is studied in direct diagrammatic perturbation technique in terms of the hybridization. The class of diagrams, from which this limit is obtained, is resummed. Furthermore, a Brillouin-Wigner-type expansion is set up.     

The spherical sector of the Calogero model as a reduced matrix model

We investigate the matrix-model origin of the spherical sector of the rational Calogero model and its constants of motion. We develop a diagrammatic technique which allows us to find explicit expressions of the constants of motion and calculate their Poisson brackets. In this way we obtain all functionally independent constants of motion to any given order in the momenta. Our technique is related to the valence-bond basis for singlet states.     

Braid Group Representation and Solutions of the Quantum Yang-Baxter Equation Associated with 10-Dimensional Representation of SU(4)

The braid group representation associated with the 10-dimensional representation of SU(4) is derived, based on the weight conservation and extended Kauffman diagrammatic technique. The corresponding trigonometric and rational solutions of the quantum Yang-Baxter equations are constructed in terms of the Yang-Baxterization procedure.