塞曼哈密顿在｜^3PJMJ〉表象中的矩阵元

以多电子原子塞曼哈密顿的球张量形式为基础，借助单体和双体算符在Slater表象中的矩阵元公式，利用不可约张量理论和角动量耦合理论推导出了包含磁场二次项的塞曼哈密顿在｜^3PJMJ〉表象中矩阵元的一般表达式。以氦原子1s4p组态为例，计算了氦原子4^3P态的精细结构裂距，并绘出了能级分裂图。     

塞曼哈密顿在|~3 PJM_J〉表象中的矩阵元

以多电子原子塞曼哈密顿的球张量形式为基础,借助单体和双体算符在Slater表象中的矩阵元公式,利用不可约张量理论和角动量耦合理论推导出了包含磁场二次项的塞曼哈密顿在|3PJMJ〉表象中矩阵元的一般表达式。以氦原子1s4p组态为例,计算了氦原子43P态的精细结构裂距,并绘出了能级分裂图。     

氦原子里德堡态(1snp)的平方塞曼效应

以氦原子在强磁场中的塞曼效应哈密顿和氦原子能级的精细结构理论为基础,借助角动量耦合理论以及不可约张量理论,在|LSJM_J〉耦合表象中解析地导出了强磁场中氦原子平方塞曼效应哈密顿本征方程之解,具体地给出了氦原子里德堡态(1snp)的平方塞曼分裂能级表达式.     

任意强度磁场中氦原子能级的塞曼分裂

以氦原子能级的精细结构理论和任意强度磁场中氦原子的塞曼哈密顿为基础,对任意强度磁场中氦原子的所有里德堡态(组态为1snl,其中n和l可取一切可能值)的塞曼分裂效应进行了系统的研究,重点是在考虑线性塞曼效应的基础上进一步考虑了平方塞曼效应,借助不可约张量理论导出了氦原子各里德堡态的塞曼分裂能级的解析表达式,绘制了反映塞曼分裂特征的结构图。     

铅原子6p7p组态Slater-Gondon参数和自旋-轨道耦合系数的计算

利用jj-耦合下二价原子精细结构能级表达式,计算PbI电子组态6p7p组态Slater-Gondon参数-G0、F2、G2和自旋-轨道耦合系数：ζ（6p）、ζ（7p）．     

旋轨耦合作用对Ti3+:Al2O3能级分裂的贡献

运用晶体场理论对钛宝石能级分裂的精细结构进行了计算，结果说明，在不计Jahn-Teller效应的情况下，考虑晶场和自旋一轨道耦合的共同作用能很好的解释其基态能级分裂，解决了Macfarlane认为不能用晶体场理论进行计算的困难．理论数据与实验结果符合得很好．     

碱金属原子反常塞曼效应的微扰论分析

利用微扰论分析了碱金属原子在静磁场中有精细结构时的反常塞曼效应，推导出了发生反常塞曼效应时能级分裂的能量一般表达式，并且由Na原子的特例给出了证明。     

中等强度磁场中氢原子能级的计算

借助角动量耦合理论在耦合表象中导出了中等磁场中氢原子哈密顿的对角元和非对角元的一般表达式,给出了考虑电子自旋与外磁场作用情形下氢原子在中等磁场中的能级结构的一般理论,具体计算了在中等磁场中氢原子n=5能级的结构.     

应用对称性研究碱金属原子的能级分裂

应用对称性研究了碱金属原子在无外场而有自旋轨道耦合作用和在均匀强弱磁场中的能级分裂，并计算了其能级一级近似值。     

自旋轨道耦合因子对多重态能级次序的影响

利用微扰方法计算出两个价电子自旋轨道相互作用的能级精细结构，对给定电子组态，经过LS耦合所形成的多重态能级的讨论，得出能级次序由耦合因子A(LS)决定，并对He原子Is^2p态能级次序作说明．     

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     

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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