弦线振动模型的严格解

求得了有阻尼情况下弦线振动模型的格解,并对结果进行了分析和讨论。     

聚乙炔的非线性光学效应

本文从SSH模型出发,用三阶含时微扰研究了一级体系的非线性光学系数.说明了电子-晶格耦合对非线性极化的影响.对聚乙炔的三次谐波产生系数给出了与实验相符的结果.     

用二维复式晶格有限集团模型计算聚乙炔的电子结构

以二维复式晶格作为有限系统的集团模型,在紧束缚近似下,计算了π电子在最近邻及次近邻跳跃集团的态密度.讨论了不同结构参数对态密度及带宽的影响.     

基于严格电磁场模型的光学光刻仿真

光学光刻技术已广泛应用于微电子机械系统（MEMS）以及集成电路（IC）领域。由于光刻工艺设备的价格十分昂贵,因此利用光刻仿真这一技术来预期工艺结果并优化工艺中存在的问题就显得很有必要。研究了一种基于严格电磁场模型的求解方法波导方法,并将此方法拓展应用于模拟MEMS领域中的厚胶曝光场景。通过这一模型,可以模拟光刻胶内部的光强分布,并进一步预测出显影后的光刻胶形貌。最后,针对某些特定掩模版结构,给出它们的仿真结果并验证其正确性。     

基于严格电磁场模型的光学光刻仿真

光学光刻技术已广泛应用于微电子机械系统（MEMS）以及集成电路（IC）领域。由于光刻工艺设备的价格十分昂贵,因此利用光刻仿真这一技术来预期工艺结果并优化工艺中存在的问题就显得很有必要。研究了一种基于严格电磁场模型的求解方法波导方法,并将此方法拓展应用于模拟MEMS领域中的厚胶曝光场景。通过这一模型,可以模拟光刻胶内部的光强分布,并进一步预测出显影后的光刻胶形貌。最后,针对某些特定掩模版结构,给出它们的仿真结果并验证其正确性。     

螺线管离散模型与连续模型的比较

给出了长直螺线管轴线上磁场的离散模型结果,并与连续模型结果作了比较,指出了连续模型的适用条件.     

环形聚乙炔分子桥的电导研究

我们选择了由40个CH基团组成的环形聚乙炔链作为分子桥,基于Landauer-Buttiker理论,利用求解散射波函数的方法,研究了这种环状聚乙炔分子桥与金属多端连接的电导随能量的变化关系.结果表明,在给定入射端的条件下,电导在正负能量上是对称的,当各个端口满足旋转对称性时,相对于入射端对称的两个出射端的电导相同.当分子桥耦合较弱时,电导对能量的变化相当敏感.     

聚乙炔极化子的新电子束缚态

本文用自洽迭代的方法研究了SSH模型中极化子的电子能谱。结果发现,除了禁带中两个在TLM模型中存在的深能级电子束缚态外,还存在四个浅能级的电子束缚态。它们形成分立的能级,并分别位于导带的顶部和底部以及价带的顶部和底部。价带顶和导带底的两个束缚态只在一定的耦合参量λ范围内出现。 关键词：     

一个镶嵌稀释双键Potts模型的严格解

本文研究在一个镶嵌正方形格子上的一个稀释双键Potts模型,模型中既包含铁磁作用,也包含反铁磁作用。得到了非常一般的和某些特殊情况下的临界行为的严格解及相图。特别是,我们的结果中展示出在二维情况下,当q≤3时,稀释反铁磁Potts模型也如同正规(非稀释)模型一样,存在着特殊的低温相。 关键词：     

EXACT SOLUTION FOR SUPER-JAYNES-CUMMINGS MODEL

Based on the linear quantum transformation theory, we further propose a supersymmetric unitary transformation, whose operator can be constructed by the supersymmetric generators of Lie superalgebra. Therefore, by making use of the supersymmetric unitary transformation, we can obtain the eigenspectrum, the eigenstates and the super-partition function for the Super-Jaynes-Cummings model when the coupling constants are Grrassmann valued.     

EXACT RESULTS FOR A SYMMETRIC 27-VERTEX MODEL

Wu study a symmetric 3-state 27-vertex model and summarize three ways con-tributing to obtaining information of a higher-spin (more-vertex) model in terms of lower-spin (less-vertex) models. We find that this model is equivalent to a symmet-ric 2-state 8-vertex model or an arbitrary 3-state spin models on Kagome lattice in different eases. And 21 exact critical lines and a multicritical point (add something that I cannot recognize) are obtained in ten-dimensional weight space.     

EXACT SOLUTION FOR EXTENDED ESSLER-KOREPIN-SCHOUTENS MODEL WITH OPEN BOUNDARY CONDITIONS

The eigenvalue of the transfer matrix is obtained for the extended Essler-Korepin-Schoutens model with open boundary conditions. The energy of the system and the Bethe equations of the model are given also.     

CRITICAL EXPONENTS OF THE ONE-DIMENSIONAL CONTINUUM HEISENBERG-ISING MODEL

The continuum generalization of the one-dimensional Heisenberg-Ising model is studied by the bosonization method. With reference to the results of the renormalization group theory, we are able to obtain the critical exponents by considering the influence of the large momentum transfer and improve Luther and Peschel's results to the next order. A comparison of the exact result of the lattice model with that of the continuum model by various treatments are also given.     

EXACT RESULTS ON THE ANISOTROPIC BOND-DILUTED POTTS MODEL

We propose a new Potts model, anisotropic bond-dilutedPotts model on square lattice. The interactions along x and y directions in this model are generally unequal and the bond-odcupied probabilities in two directions are also assumed to be different. Such a model is a general Potts model on the square lattice. By establishing the equivalence between anisotropic bond-diluted model and anisotropic regular model and making use of the exact critical relations of regular model, we obtain the critical conditions for anisotropic bond-diluted Potts models with ferromagnetic and antiferromagnetic interactions. Phase diagrams according to these conditions are presented numerically with q=1,2,3,4,5,6 (ferr. case) and q=1,1.5,2,2.5 (antiferr. case) and a discussion about these diagrams is carried out.     

Liouville方程的八类精确解

利用Poisson括号的正则不变性求得了Liouville方程的八类精确解:1)“重力”势系统,2)谐振系统,3)正负平方幂函数势系统,4)双曲函数势系统,5)三角函数势系统,6)PschlTeller势系统,7)“引(斥)力”势系统和8)Kratzer势系统.得到了“化动量正则变换”的一般方法.在求解后两个系统Liouville方程的过程中还应用了Routh方法和Binet方法. 关键词：     

THE EXACT GROUND STATE OF THE LATTICE SCHWINGER MODEL

A modified lattice Schwinger model is proposed and its exact ground state is found.     

库特（Couette）剪切流准确解的一般形式

 从N-S方程出发,得到了轴对称异型断面管纯剪切流动速度分布的一般解,进而推出了纯剪切流动有限宽度矩形断面管的速度分布和流量计算公式,证明了库特剪切流是有限宽度矩形断面管当宽度趋向无穷大时的一种特例。并对库特剪切流流量的计算误差进行了分析,给出了该公式的适用范围,同时对有限宽度矩形断面管剪切流公式进行了曲线拟合,得到了便于工程使用的流量计算公式。     

碘掺杂聚乙炔电子自旋共振及导电性的研究

用四探针法测量掺碘聚乙炔薄膜[CH(I₃)_y]_x,当y=1.0％,4.2％和8.3％时面电阻随温度的变化,发现它们可用变程跳跃(VRH)模型很好的描述。用电子自旋共振(ESR)谱仪研究了不同温度下低浓度碘掺杂聚乙炔的自旋磁化率、峰峰宽等。并给出相应的理论解释。 关键词：     

AN EXACT SOLUTION OF THE NAIVE SCHWINGER MODEL ON LATTICE

An exact solution of the Naive Schwinger model on lattice is found.The continuous limit of the solution is discussed.The result is that the Naive lattice gauge theory can not cut off the unphysical states of the Schwinger model in the high-energy limit.