查询词典 wave function

Week 15 Experiment law of hydrogen atomic spectrum, Bohr hydrogen atom theory, wave -particle dualism of matter, de Broglie waves, uncertainty relation, wave function and its statistical explanation, standard condition of wave function, Schrodingger equation in one dimension, simple introduction of quantum mechanics.

第15周氢原子光谱的实验规律，氢原子的玻尔理论；波粒二像性，德布罗意波，不确定关系；波函数及其统计解释，波函数的标准条件，一维薛定谔方程，量子力学简介。

A variatioual calculation of the energy of the-2s2 is state of helium has been carried out with the use of a wave function of the Hylleraasian typo. The wave function is where s,t u are in units of 4 times the first Bohr radius of hydrogen.

本文以变分法计算2s~21~S态氦原子之能量，所用之波函式，即：=e~(-0.2278s){1-0.17079s-0.063155u-0.013869t~2 +0.010044u~2+0.0064785s~2}上式中之s，t，u均以4倍於氢原子之第一Bohr半径为单位。

Take the method of "subarea" and "conjunction" to segment the whole request model to three parts. Making use of boundary continuousness between medium and lining structure at stress and displacement, construct a wave function that can satisfy the stress boundary condition at horizontal surface by the scattering of SH-waves in circular part. And then, availing of the wave function, conjoin the circular part into the semi-circular hollow space at common boundary. The problem can be reduced to solve the question that can only meet the condition of "conjunction". Finally, the solution of the problem can be summarized to a series of algebraic equations and solved numerically by truncating the finite terms of the infinite algebraic equations.

采用"分区"与"契合"的方法，将整个求解区域分割成三部分，利用介质与衬砌结构在边界上的应力、位移的连续性，构造一个可以自动满足水平界面上应力边界条件的圆域对SH波散射的波函数；再利用这一波函数将圆域与半圆形凹陷半空间的"公共边界"进行"契合"，将问题简化成对一个只需满足'契合'边界条件的散射问题的求解；最终归结为对一组无穷代数方程组的求解问题，利用截断有限项的方法对其进行计算。

The polarization of the atoms is shown with the help of Cornu spiral of the wave function and the temporal evolution of the real and imaginary part for the wave function.

利用波函数的Cornu蜷线和波函数的实部和虚部随时间的演化形式，展示了原子极化过程的物理细节。

This method and the formation of the ground state wave function are very useful for applying of the spheroidal wave function probably.

该超对称量子力学方法的引入及一阶基态波函数形式将有利于广义椭球函数深入研究。

It is our function generator in learning, scientific research and other aspects indispensable tool. Today we have to design a square wave, sine wave and triangular wave function for release.

因此函数发生器是我们在学习，科学研究等方面不可缺少的工具，今天我们要设计一种能产生方波、正弦波、三角波的函数放生器。

In spherical polar coordinates, DRSC potential have supersymmetry and shape invariance for θ and r coordinates. By using the method of supersymmetry and shape invariance, exact bound state solutions of Schrodinger equation with double ring-shaped Coulomb potential are presented. The normalized angular wave function expressed in terms of Jacobi polynomials and the normalized radial wave function expressed in terms of the Laguerre polynomials are presented. Energy spectrum equations are obtained.

本文研究了双环形Coulomb势Schrdinger方程的束缚态精确解，所采用的方法是首先对双环形Coulomb势的Schrdinger方程在球坐标系中进行分离变量，得到相应的角向方程和径向方程；证明双环形Coulomb势在角向和径向具有超对称性和形不变性；根据超对称性和形不变性的性质，获得了角动量量子化条件和束缚态的能谱方程，并将归一化角向波函数用Jacobi多项式表示，将归一化径向波函数用Laguerre多项式函数表示。

We compare the results with the analytic results from the weak coupling limit and the strong coupling limit. As an extension, when think about the dispersion relations for SU(2) trapped bosons, we find that we can not get the inverse effective mass directly from the dispersion relations of the holon-isospin excitation for the wave function from Bethe equation is not the eigenstate wave function of the total momentum.

作为推广，我们还研究了无限深势阱中SU(2)玻色子的各类激发态的色散关系，发现由于直接的Bethe Ansatz 波函数不是总动量的本征态，所以不同通过直接的色散关系来给出质量有效质量比。

The wave function of the phonon is assumed to take thecoherent state,a self-consistent integrodifferential equationsatisfied by the electron wave function is derived.Solving for thisequation,we get the polaron ground-state energy E=-0.1085α2, whichis very close to these of previous strong-coupling theories.In chap.4,we will apply approaches developed in chaps.2 and 3 to discuss theimportant two-dimensional(2D)polaron problem.

把声子部分取成相干态的形式，我们推导出电子波函数所满足的非线性的微分积分方程，求解这个方程，我们得到基态能为E＝-0.1085α2，它与以前的各种强耦合理论的结果非常接近，在第四章中，我们利用在第二，三章中发展的方法讨论很重要的二维极化子问题。

Second, based on the spherical vector wave function in uniaxial anisotropic medium, and the first, second, third and fourth spherical Bessel functions satisfy the same differential equation and recursive formula. The scattering fields in terms of spherical vector wave function from a uniaxial anisotropic spherical shell and an anisotropic uniaxial-coated conducting sphere by a plane wave are derived. The electromagnetic fields in uniaxial anisotropic medium and free space can be expressed in terms of spherical vector wave functions in uniaxial anisotropic media and isotropic medium.

二、在建立均匀各向异性单轴介质球矢量波函数理论的基础上，利用二阶线性偏微分方程的性质和第一、第二、第三和第四类球Bessel函数满足相同的微分方程和递推关系，我们分别研究了单轴介质球壳和单轴介质涂覆导体球对平面波的电磁散射特性，首先给出了各个区域的电磁场用球矢量波函数来表示的解析表达式，进而利用电磁场在边界上满足电磁场切向连续的边界条件和球谐函数的正交性，得出了各向异性单轴介质球结构中电磁场用球矢量波函数表示的系数所满足的矩阵方程。

I use an example quoted by Hu Jiaqi:"It is reported that America separates the DNA of a kind of virus by making use of genetic technology and combines it with another kind of DNA. Finally, they get a kind of virulent biological agent called a "pyrotoxin". Someone discloses in private that 20 grams of such a kind of biological agent could result in the global death of 6 billion people due to infection."

我在这里例举胡家奇所引用过的例子："据报道，美国利用转基因技术，将一种病毒的DNA分离出来，与另外一种DNA进行结合，拼结成一种剧毒的"热毒素"生物战剂，且私下有人透露，这种生物战剂只需20克，就可以导致全球60亿人全部感染死亡。"

Waiting, for the queers and the coons and the Reds and the Jews.

等待着疯子和黑人还有红色共产主义者还有犹太人