一维量子波导中的Rashba电子输运

主要研究了平面一维波导系统中的Rashba电子波函数的输运性质,得到了如下的结果.根据Rashba效应,能量为E的平面电子波,将分裂成波矢分别为k1=k0＋kδ与k2=k0-kδ的两种波函数,其自旋取向与波导的夹角分别为＋π/2（自旋向上态）与＋π/2（自旋向下态）.若在支路的终端是栅极或者铁磁接触,则相应的波函数成为驻波形式exp（±ikδl）sin[k0（l-L）],其中L是支路的长度,l是支路内的坐标.与不考虑自旋的情况不同的是,Rashba电子波函数的相位与支路的取向角度θ有关.此外,两种自旋取向的波传播的群速度相同,都是-k0/m＊.在各支路结点处,由波函数的连续性和流密度守恒条件,得到了Rashba电子波函数所必须满足的边界条件.利用这些边界条件,我们研究了Rashba电子在一些结构中的透射和反射性质,发现自旋向上和向下的Rashba电子波函数的干涉效应将受到铁磁接触或栅极的调制.最后得到了多分支结构中,Rashba电子输运的一般性理论.我们提出的Rashba电子的一维量子波导理论可以被用来设计各种自旋极化器件.     

光子的旋量波动方程

给出自由和非自由光子的旋量波动方程及光子自旋算符与自旋波函数.通过计算光子的螺旋度,证明存在左旋和右旋光子.由单光子自旋波函数得到两光子或多光子的自旋波函数,并给出多光子的自旋纠缠态.     

获得清晰干涉图样的相干光极限振幅比

研究了相干光振幅比对干涉图样清晰度的影响 ,得出了获得清晰干涉图样的极限相干光振幅比和极限反衬度 ,分析了透明薄膜多束反射和多束透射光的振幅比对其干涉图样的影响。     

二维Kemmer谐振子在非对易平面下的精确解

本文分析非对易平面下自旋为1的二维Kemmer谐振子,应用合流超几何函数确定体系的能级和波函数。结果表明,非对易参数θ对体系的能级和波函数有影响。     

双势垒磁性隧道结中电子的自旋极化输运

 采用相干量子输运理论和传递矩阵方法,数值计算了两端具有铁磁接触的双势垒异质结构(F/DB/F)中自旋相关的隧穿几率和自旋极化率。结果表明,隧穿几率和自旋极化率随阱宽的增加发生振荡周期不随垒厚变化的周期性振荡;Rashba自旋轨道耦合强度的增加加大了隧穿几率和自旋极化率的振荡频率;隧穿几率和自旋极化率的振幅和峰谷比强烈依赖于两铁磁电极中磁化方向的夹角。与铁磁/半导体/铁磁（F/S/F）磁性隧道结中的结果相比,发现垒厚的增加增大了隧穿几率和自旋极化率的峰谷比,自旋极化率的取值明显增大,并具有自旋劈裂和自旋翻转现象出现。     

圈量子引力中Hamilton约束对自旋网顶角的作用

给出了圈量子引力中的一种Hamilton约束.利用空间的三角剖分,将这种Hamilton约束对自旋网的作用进行了计算.求得了空间在这种Hamilton约束作用下的跃迁振幅的系烽.     

自旋相干叠加态的反聚束效应

两个不同的自旋相干态的叠加态具有非经典的特性,反聚束效应是这类叠加态的非经典效应之一.通过研究实、虚两个自旋相干态的叠加态的反聚束效应,发现粒子数目和自旋相干态的参数|η|共同决定了这一类叠加态具有反聚束效应的量子态的数量.     

自旋非对易和各向同性谐振子

以自旋非对易为背景,研究了三维各向同性谐振子.将非对易效应看作微扰项,得到了基态和第一激发态能级的二级修正和波函数的一级修正.在得到的波函数中发现了自旋非对易引入了位形自由度和自旋自由度的纠缠,这是对易空间中完全没有的新现象.     

相对论平均场理论关于赝自旋对称性的研究(英文)

相对论平均场理论被应用于检查208Pb的赝自旋对称性.通过相对论平均场计算提取的赝自旋伙伴态的波函数劈裂,研究不同介子场和光子场对赝自旋对称性的影响.结果表明:赝自旋波函数劈裂随着σ介子场强度的增加而增大,随着ω介子场强度的增加而减小.相比于σ和ω介子场,ρ介子场和光子场仅对赝自旋劈裂起着微弱的影响,σ和ω介子场对赝自旋对称性起主导作用,赝自旋劈裂主要来源于σ和ω介子场的竞争.     

相对论随机力学的能量守恒定律

给出了带自旋与不带自旋的相对论随机力学的能量守恒定律,同时导出波函数满足的矩阵方程.     

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.     

Features of Women's language

Language is a means of verbal communication. People use language to communicate with each other. In the society, no two speakers are exactly alike in the way of speaking. Some differences are due to age, gender, statue and personality. Above all, gender is one of the obvious reasons. The writer of this paper tries to describe the features of women＇s language from these perspectives： pronunciation, intonation, diction, subjects, grammar and discourse. From the discussion of the features of women＇s language, more attention should be paid to language use in social context. What＇s more, the linguistic phenomena in a speaking community can be understood more thoroughly.     

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