压缩系统喘振主动控制方式的数值分析

本文在压缩系统非定常流动理论基础上，用经典控制理论中的PID控制方法和非线性控制理论中的逆系统方法对多种喘振主动控制方式进行了数值分析，对比了不同控制方法、控制参数和结构参数对控制效果的影响，给出了喘振主动控制系统设计的参考准则。     

近反铁磁费米液体理论的推广

把主同温超导体的唯象近反铁磁费米液体理论作了推广，得到了自旋磁化率对整个频率范围成立。因此，原来理论中的低频限制被去掉，计算了推广的ＮＡＦＬ理论中的电子自能，发现类似于边缘费米液体理论，准粒子的谱权重随着趋向于费米面以对数的形式趋于零。     

数值模拟计算在核测井中的应用及发展

本文简要介绍数值模拟计算技术在核测井领域中的应用，理论计算数据与实际测量数据一致，表明理论计算在核测井中的地位越来越重要。     

纳米流体的聚集结构和导热系数模拟

本文根据布朗运动理论模拟纳米粒子在流体中的聚集过程，运用分形理论描述纳米粒子团的结构．考虑纳米粒子的运动传热，建立纳米流体的导热系数模型，理论预测值与实验结果显现了良好的一致性。     

计算机模拟光源的非单色性对迈克尔孙干涉条纹可见度的影响

通过开发的“迈克尔孙模拟实验平台”中的数值模拟和实验现象模拟，讨论分析了光源的非单色性对迈克尔孙干涉条纹可见度的影响，用直观的计算机图形将抽象的光的时间相干性理论形象化，从而弥补了光学实验教学中的理论欠缺和理论教学与实验相脱节的不足．     

偏振表象和偏振表象变换理论以及应用

借用量子力学中的表象与表象变换概念，本文系统地提出了偏振光学中的偏振表象和偏振表象变换理论，可以加深对琼斯空间的琼斯矢量、琼斯矩阵描述偏振光和偏振光变换的理解，更加深刻认识其中的物理机理.本文还利用偏振表象和表象变换理论解读了光纤通信中的光纤偏振模色散和偏振相关损耗对传输的偏振光的作用和影响.     

科学理论的类型研究：发现矛盾与寻求统一

科学理论的“双面性”是其真，善，美三种特征中的第三特征。作者从“双面性”的美学思维出发，认为科学理论的共同点是发现矛盾与达成统一，进而将众多科学理论，归结为揭示型理论、判断型理论和解释型理论三大类型，并对其中的１２种作了简要的概括和比较，它是：问题存在论，不可两丛论，异化论。     

汤川交换作用与π介子的发现

本文回顾用交换相互作用描述核力的历史，介绍了汤川介子理论以及μ子发现后出现的“二介子假说”，简述了带电π介子在核乳胶中的发现以及中性π介子在稳相加速器中的确凿证实，最后对汤川理论作一简评。     

玻璃转变研究进展

玻璃转变是凝聚态物理基础理论中的一个重要问题和难题，是涉及动力学和热力学的众多前沿问题．玻璃转变的理论一直在不断的发展和更新．从20世纪50年代出现的自由体积理论到现在还在不断完善的模态耦合理论及其他众多理论，都只能解决玻璃转变中的某些问题．一个完整的玻璃转变理论仍需要人们作艰苦的努力．为了澄清混淆不清的玻璃转变概念，文章就玻璃转变的概念、研究内容和有关理论的发展进行简述．在分析了几个占主导地位的玻璃转变理论后，阐述了玻璃转变中需要进一步深入研究的问题．     

光纤耦合模理论及其在光纤布拉格光栅上的应用

将正确的光纤中的正交关系应用于微扰耦合模理论得到了光纤中的微扰耦合模方程；并将其应用于光纤布拉格光栅，得到了一种新耦合模方程。该方程中作为标志性特性的耦合系数与其它理论中的耦合系数都不相同。讨论了方程的解，得到了峰值反射率与布拉格波长、光栅长度之间的简单关系式。用光纤布拉格光栅进行了实验，理论和实验结果符合得很好。     

干涉现象中能量叠加的实验研究

经典的波动理论与量子理论均分别对杨氏双缝干涉实验进行了解释。由于两个解释理论一个简单直观、一个复杂抽象,但两者结果一致,使得学生在学习中容易接受波动理论而排斥量子理论。文中通过实验观测了杨氏双缝干涉光场中能量传递与叠加的实际情况,结果显示实验实际情况与波动理论解释明显不相符合,而与量子理论解释完全相符。通过实验,使学生直观地看到波动理论的局限性,并加深学生对量子力学相关理论的理解。     

On second-quantized open superstring theory

The SO(32) theory, in the limit where it is an open superstring theory, is completely specified in the light-cone gauge as a second-quantized string theory in terms of a “matrix string” model. The theory is defined by the neighborhood of a 1 + 1-dimensional fixed point theory, characterized by an Abelian gauge theory with type IB Green-Schwarz form. Non-orientability and SO(32) gauge symmetry arise naturally, and the theory effectively constructs an orientifold projection of the (weakly coupled) matrix type IIB theory (also discussed herein). The fixed point theory is a conformal field theory with boundary, defining the free string theory. Interactions involving the interior of open and closed strings are governed by a twist operator in the bulk, while string endpoints are created and destroyed by a boundary twist operator.     

The refined theory of deep rectangular beams based on general solutions of elasticity

The problem of deducing one-dimensional theory from two-dimensional theory for a homogeneous isotropic beam is investigated. Based on elasticity theory, the refined theory of rectangular beams is derived by using Papkovich-Neuber solution and Lur’e method without ad hoc assumptions. It is shown that the displacements and stresses of the beam can be represented by the angle of rotation and the deflection of the neutral surface. Based on the refined beam theory, the exact equations for the beam without transverse surface loadings are derived and consist of two governing differential equations: the fourth-order equation and the transcendental equation. The approximate equations for the beam under transverse loadings are derived directly from the refined beam theory and are almost the same as the governing equations of Timoshenko beam theory. In two examples, it is shown that the new theory provides better results than Levinson’s beam theory when compared with those obtained from the linear theory of elasticity.     

Simplicial vs. continuum string theory and loop equations

We derive loop equations in a scalar matrix field theory. We discuss their solutions in terms of simplicial string theory—the theory describing embeddings of two-dimensional simplicial complexes into the spacetime of the matrix field theory. This relation between the loop equations and the simplicial string theory gives further arguments that favor one of the statements of the paper hep-th/0407018. The statement is that there is an equivalence between the partition function of the simplicial string theory and the functional integral in a continuum string theory—the theory describing embeddings of smooth two-dimensional world-sheets into the spacetime of the matrix field theory in question.     

Associating fluids with four bonding sites against a hard wall: density functional theory

We present two new perturbation density functional theories to investigate non-uniform fluids of associating molecules. Each fluid molecule is modelled as a spherical hard core with four highly anisotropic square well sites placed in tetrahedral symmetry on the hard core surface. In one theory we apply the weighting from Tarazona's hard sphere density functional theory to Wertheim's bulk first-order perturbation theory. The other theory uses the inhomogeneous form of Wertheim's theory as a perturbation to Tarazona's hard-sphere density functional theory. Each theory approaches Tarazona's theory in the limit of zero association. We compare results from theory and simulation for density profiles, fraction of monomers, and adsorption of an associating fluid against a hard, smooth wall over a range of temperatures and densities. The non-uniform fluid theory which uses Tarazona's weighting of Wertheim's theory in the bulk is in good agreement with computer simulation results.     

The critical supersaturations predicted by nucleation theory

A general set of equations is derived for calculating the supersaturation required to obtain a given rate of nucleation. This set is general enough to encompass all the present theories, the classical theory, the Lothe-Pound theory, the Reiss-Katz-Cohen theory, a recent theory by H. Reiss, and any other theory which includes a size-dependent correction to the classical theory. Comparison of these predictions is made for various substances.     

Two-dimensional topological gravity and intersection theory on the moduli space of holomorphic bundles

We define a two-dimensional topological Yang-Mills theory for an arbitrary compact simple Lie group. This theory is defined in terms of intersection theory on the moduli space of flat connections on a two-dimensional surface and corresponds physically to a two-dimensional reduction and truncation of four-dimensional topological Yang-Mills theory. Two-dimensional topological Yang-Mills theory defines a topological matter system and may be naturally coupled to two-dimensional topological gravity. This topological Yang-Mills theory is also closely related to Chern-Simons gauge theory in 2 + 1 dimensions. We also discuss a relation between SL (2, ) Chern-Simons theory and two-dimensional topological gravity.     

Geometric Formulation of Gauge Theory of Gravity

Differential geometric formulation of quantum gauge theory of gravity is studied in this paper. The quantumgauge theory of gravity is formulated completely in the framework of traditional quantum field theory. In order to studythe relationship between quantum gauge theory of gravity and traditional quantum gravity which is formulated in curvedspace, it is important to set up the geometry picture of quantum gauge theory of gravity. The correspondence betweenquantum gauge theory of gravity and differential geometry is discussed and the geometry picture of quantum gaugetheory of gravity is studied.     

Violation of Locality Beyond Bell's Theorem for Multiparticle Perfect Correlations

We present the analogous inequalities of Bell's inequality for N-qubit system predicted respectively by realistic theory, quantum mechanics, local theory, local realistic theory, and local quantum theory on the same Bell-type joint experiment. It is shown that quantum mechanics can be interpreted by hidden-variable theories while being incompatible to any local theory. A necessary condition for the separability of N-qubit system is derived.     

表面等离子共振效应中传统近似理论与薄膜光学理论

指出Kretschmann模型的传统表面等离子共振公式在求解金属薄膜的参量时存在近似性,采用更为严密的薄膜光学理论,通过薄膜膜系的特征矩阵,得出表面等离子体共振衰减曲线.结果表明,表面等离子体共振近似理论与薄膜光学理论得到的共振角及反射率幅度存在差别;采用等高线图,给出了共振角差随着金属介电常量的变化规律.进一步的实验表明,薄膜光学理论所得模拟结果较表面等离子体共振近似理论与实验值吻合地更好,证明薄膜光学理论应用在表面等离子体共振效应要优于常用的近似理论.最后,采用两种理论对表面等离子体共振传感器进行优化设计,结果表明,两种理论所获得的高灵敏度分布区域差异较大,必须采用薄膜光学理论提供更精确的薄膜参量,来优化设计高灵敏度表面等离子体共振传感器.