关于非谐振子基态能微扰级数的敛散问题

本文对Bender等提出的，关于非谐振子基态能微扰级数发散的问题进行了讨论，并籍助于变分法和Sturm－Liouvelle理论证明了非谐振子基态能是有界的．     

双电子原子基态能量的相对论修正

分析并推导求解了双电子原子基态能量的相对论修正中的两个基本问题:动能平方算子和三维Dirac δ-函数的基态期望值.用Mathematica符号语言进行了实现,给出了双电子原子(H-,He,Li+,Be++,…)高精度的基态能量计算值,特别是对氦原子的计算相对误差达到0.00485‰.     

临界和超临界的薛定谔泊松方程正的径向基态解

近些年来,薛定谔方程或者薛定谔泊松方程基态解的问题一直受到广泛关注,学者们主要讨论了不同条件下正解、基态解、变号解等的存在性问题.特别地,他们在不同的位势以及非线性项条件下研究了基态解的存在性,并且这些问题都是临界和次临界的情形,而对于临界和超临界情形下径向基态解的结果至今还没有人研究.因此,本文通过使用Nehari流...     

最近邻作用项对一维分子链孤子激发的影响

在电-声相互作用的一维分子晶体中,电子不仅与在位格点上的声子有相互的作用,同时与近邻格点也存在着微弱的相互作用.为了更真实地求解出一维分子晶体系统的基态问题,以量子化Holstein模型为基础并考虑电子与最近邻格点上声子的相互作用项对其的修正,此时系统处于基态时的Hamiltonian量也发生了相应的改变.运用压缩-相干态展开法和能量极小值等原理,求解出处于基态时极化子系统所满足的非线性Schrdinger方程和对应的孤子解、基态能量.并讨论了最近邻作用项的强度对一维分子链孤子激发如孤子的波峰、波宽、稳定性和系统基态能量的影响.     

确定原子基态的一般方法

本文就由基态电子组态按L—S耦合构成原子基态方法作一般讨论,并指出按常规方法确定原子基态的局限性,从而导出确定原子基态的一般方法。     

激光低温等离子体电子量子基态

本文利用量子统计理论中的 Wigner 矩阵方法对激光低温等离子体电子量子基态能量进行了计算,得到了量子基态能量的分析表达式。结果指出:因长程库仑相互作用而导致基态结构变化,同位相振动的电子是形成量子基态的主要原因,并指出激光等离子体中激光场和粒子相干振动对集团性离子反应的重要作用。     

原子(或离子)基态光谱项推算方法

运用能量最小原理、泡利不相容原理和洪特定则,得到了计算原子基态的一套计算方法,采用这种方法能推算出不同类型的原子基态问题.     

磁场对CaN/AlxCa1-xN抛物量子阱中电子态能量的影响

采用变分法,研究了外界磁场对抛物量子阱中基态能量的影响．并给出抛物量子阱CaN／AlxCa1-xN中的数值结果．研究结果表明,基态能量对磁场强度的变化很敏感,并随着外磁场的增加而增加;磁场对基态能量的贡献随着阱宽的增大而增大．     

单电子量子同心环的基态特性

给出了单电子量子同心环基态能量随其半径和势垒的变化规律, 并根据动力学和不确定关系对变化规律进行分析,  通过密度函数显示基态的电子几率分布. 结果表明, 即使基态能量小于势垒, 电子在势垒中的几率也不为零.     

外场对量子阱中极化子基态能的影响

研究了外场对量子阱中极化子基态能的影响,通过计算得出了在外场作用下量子阱中极化子的振动频率和基态能量E,并分别讨论了极化子在强磁场和弱磁场作用下基态能量与阱宽、电场强度和回旋频率之间的关系。     

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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