中心力场中电偶极自发跃迁的研究

在量子力学中,利用中心力场能够很好的解决量子力学的一些相关问题。本文从中心力场和电偶极子出发,运用泡利算符和球谐函数的知识给出了电偶极自发跃迁选择定则的理论推导及不同状态下电偶极自发跃迁的分支比。     

自旋权重分析和场方程的简化

利用自旋权球谐函数,对标量场的达朗伯尔方程和矢量场的麦克斯韦方程进行简化,得出一些与已有文献不同的结果。     

应用卫星重力数据研究全球岩石层下地幔流应力场

本文应用地球卫星重力测量得到的全部球谐函数(n=2,30),计算出全球地幔流岩石层下应力场.结果表明,它与板块构造边界应力场及其他实测资料(如震源机制解)相符合.从而,本文为研究全球现代构造应力场、为探讨地壳和板块运动规律及其力源,提供了依据.     

二维超球谐函数的变换性质

讨论超球谐函数在自变量作线性变换下的变换性质,给出了变换系数的计算公式。     

一类非线性椭圆问题解的正则性

研究椭圆型偏微分方程的源函数是关于自变量、自变量的未知函数及未知函数的偏导数的函数时，非线性椭圆方程的边值问题.利用推广的Stampacchia引理以及Sobolev空间的分析技巧，得到椭圆型方程的边值问题在强制性和控制增长条件下解的正则性.     

向列相液晶界面锚定能公式的比较分析

向列相液晶是各种液晶中最重要的一种,在液晶显示中得到了广泛应用.通过对其一维锚定能不同公式的比较分析指出了修正后的RP公式被普遍接受的原因;对目前已提出的二维锚定的四种锚定能公式进行了比较分析并指出,Zhao等人利用球谐函数展开的方式得到的表达式是较符合物理实际的公式;且在二维情况下的锚定能表达式中,出现球谐函数Ym(θ,φ)也是必然的.     

用方向算符研究轨道角动量

引入了方向算符(?)=(?)/r,研究了它对轨道角动量的本征矢|lm>的作用,得到了量子数l的上升、下降算符,并由此简捷地推出了球谐函数的普遍表式和递推关系。     

第二类Pфchl-Teller势场中相对论粒子任意l波束缚态解

在球坐标系中研究了具有离心项的第二类Pschl-Teller型标量势与矢量势的Klein-Gordon方程和Dirac方程.在标量势等于矢量势的条件下,运用合适的指数近似将具有离心项的径向Klein-Gordon方程和Dirac方程转化成超几何微分方程,从而获得了系统的任意l波Klein-Gordon方程和Dirac方程解析束缚态径向波函数.最后,我们对l=0这一特殊情况进行了简单讨论.     

第二类Poschl-Teller势场中相对论粒子任意l波束缚态解

在球坐标系中研究了具有离心项的第二类Poschl-Teller型标量势与矢量势的Klein-Gordon方程和Dirac方程.在标量势等于矢量势的条件下,运用合适的指数近似将具有离心项的径向Klein-Gordon方程和Dirac方程转化成超几何微分方程,从而获得了系统的任意l波Klein-Gordon方程和Dirac方程解析束缚态径向波函数.最后,我们对l=0这一特殊情况进行了简单讨论.     

基于Kratzer势的D维薛定谔方程的超对称求解

[目的]基于超对称量子力学方法,求解D维球对称修正Kratzer势和广义Kratzer势作用下的薛定谔方程.[方法]通过给出试探解的办法得到这两种势作用下的超势,确定了超对称伴随势,并得出对应的形状不变因子,进而解得两种势对应的D维球对称薛定谔方程.[结果]利用形状不变因子和升、降算符的作用分别得到了修正Kratzer...     

Markedness and its Interpretation in Language Use

Language markedness is a common phenomenon in languages, and is reflected from hearing, vision and sense, i.e. the variation in the three aspects such as phonology, morphology and semantics. This paper focuses on the interpretation of markedness in language use following the three perspectives, i.e. pragmatic interpretation, psychological interpretation and cognitive interpretation, with an aim to define the function of markedness.     

低渗透非均质砂岩油藏启动压力梯度研究

理论推导与室内实验相结合,建立了低渗透非均质砂岩油藏启动压力梯度确定方法。首先借助油藏流场与电场相似的原理,推导了非均质砂岩油藏启动压力梯度计算公式。其次基于稳定流实验方法,建立了非均质砂岩油藏启动压力梯度测试方法。结果表明:低渗透非均质砂岩油藏的启动压力梯度确定遵循两个等效原则。平面非均质油藏的启动压力梯度等于各级渗透率段的启动压力梯度关于长度的加权平均;纵向非均质油藏的启动压力梯度等于各渗透率层的启动压力梯度关于渗透率与渗流面积乘积的加权平均。研究成果可用于有效指导低渗透非均质砂岩油藏的合理井距确定,促进该类油藏的高效开发。     

On Tragic Consciousness In The Works By Ernest Hemingway

As an American modern novelist who were famous in the literary world, Hemingway was not a person who always followed the trend but a sharp observer. At the same time, he was a tragedy maestro, he paid great attention on existence, fate and end-result. The dramatis personae's tragedy of his works was an extreme limit by all means tragedy on the meaning of fearless challenge that failed. The beauty of tragedy was not produced on the destruction of life, but now this kind of value was in the impact activity. They performed for the reader about the tragedy on challenging for the limit and the death.     

Achieving Unusual States of Matter Under High Pressure

正The periodicity of the elements and the non-reactivity of the inner-shell electrons are two related principles of chemistry,rooted in the atomic shell structure.Within compounds,Group I elements,for example,invariably assume the+1 oxidation state,and their chemical properties differ completely from those of the p-block elements.These general rules govern our understanding of chemical structures and reactions.Using first principles calcula-     

Exchange-Correlation and Electronic Excitation Energies from Pairing Matrix Fluctuations

We have developed an adiabatic connection to formulate the ground-state exchange-correlation energy in terms of pairing matrix linear fluctuations.This formulation of the exchange-correlation energy opens a new channel for density functional approximations based on the many-body perturbation theory.We illustrate the potential of such approaches with an approximation based on the particle-particle Random Phase Approximation(pp-RPA).This re-     

Density Functional Theory for the Response of Periodic Systems to Electric Fields Based on the Vector Potential Approach

正The electronic and nuclear(structural/vibrational)response of 1D-3D nanoscale systems to electric fields gives rise to a host of optical,mechanical,spectral,etc.properties that are of high theoretical and applied interest.Due to the computational difficulty of treating such large systems it is convenient to model them as infinite and periodic(at least,in first approximation).The fundamental theoretical/computational problem in doing so is that     

On the Thermodynamic Limit for Responses to Static Electromagnetic Fields

For molecular systems,the quantum-mechanical treatment of their responses to static electromagnetic fields usually employs a scalar-potential treatment of the electric field and a vector-potential treatment of the magnetic field.Although the potential for each field separately is associated with the choice of an(unphysical)origin,the precise choice of the origin for the electrostatic field has little consequences for the results.This is different for the     

An affordable accurate evaluation of the binding conformations predicted by molecular docking studies in bio-system

Franck-Condon factors bridge the gap between theoretical modeling and experimental observations for molecular electronic spectroscopy and electron transfer.Under the displaced harmonic oscillator approximation,multidimensional Franck-Condon factors are decomposed into a product of many one-dimensional(1D)Franck-Condon(FC)factors,and each 1D-FC factor is associated with one Huang-Rhys factor that determines the leading contribution of     

Call for Papers

<正>"The Journal of Shanghai Normal University:Mathematics"is published by Shanghai Normal University as regular issues of The Journal of Shanghai Normal University each year from 2014 in English.The editors-in-chief of the issues are professors Yuhao Cong and Maoan Han.The Journal of Shanghai Normal University was started in 1958 with     

Journal of Donghua University ( English Edition) Contents of Volume 31

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