LIQUID-GAS PHASE TRANSITION OF SYMMETRIC NUCLEAR MATTER AND SGII-TYPE EFFECTIVE INTERACTIONS

Using the real time Green's function method and SGII-type interactions,we calculate the pressure,the critical temperature and other thermodynamical quantities.We compare our results with that given by other nucleon-nucleon effective interactions.     

手征QCD2模型的有效拉氏量和质量生成

利用路径积分方法,研究了(1+1)维带γ₅耦合的规范理论。通过进行一非阿贝耳手征变量变换和选择更一般的正规化算子,精确解出了费密子行列式,证明了理论中可以存在玻色子的质量生成机制。除了一质量项外,得到的解也包含有一规范化的Wess-Zumino-Witten反常作用量泛函和一些别的非定域项。 关键词：     

THE UNIFIED SCHEME OF THE EFFECTIVE ACTION AND CHIRAL ANOMALIES IN ANY EVEN DIMEPISIONS

Based on the Weil homomorphism method, a unified scheme in which all the important topological ptoperties of the pseudoscalar Goldstone bosonand gauge fields. in even dimensional space are described, in one remarkably compact. form is given.These properties include the effective action, the skyrmion anomalous current, Abel'an anomaly, symmetric and asymmetric non-Abeliari chiral anomalies,and anomaly free conditions.     

AN EFFECTIVE APPROACH FOR TWO-DIMENSIONAL POLARONS IN AN ASYMMETRIC QUANTUM DOT

Within the framework of Feynman-Haken path integral theory, we calculate the ground-state energy of two-dimensional polarons in asymmetric quantum dots for arbitrary electron-phonon coupling constants. From a general three-dimensional Hamiltonian, some interesting problems, such as polarons in quasi-one-dimensional quantum wires and quasi-zero-dimensional asymmetric or symmetric quantum dots can be easily discussed only by taking different limit in the whole coupling regime. After the numerical calculation, we find that the relative polaronic correction increases monotonically with the decrease of effective dot size, and it becomes more pronounced with increasing dimension and asymmetry. Moreover, despite the insensitivity of relative polaronic enhancement to the variation of coupling constant at weak coupling, the correction is related to the coupling constant as the latter becomes larger.     

ON THE EFFECTIVE LAGRANGIAN FOR THE PURE SUPER YANG-MILLS THEORY DERIVED FROM RENORMALIZATION GROUP CONSIDERATIONS

Further comments and analysis are made on the derivation of the effective Lagrangian for the N=1 pure super Yang-Mi11s theory from renormalization group considerations and on the implications of results obtained.     

对称三对角阵和周期三对角阵的特征反问题

提出由对称三对角阵或周期三对角阵的一个特征对以及其n-1阶顺序主子矩阵的一个特征对来构造原矩阵的问题,讨论了解存在和解存在唯一的充分必要条件,并给出了算法。     

LAGRANGIAN MULTIPLIER AND MASSIVE YANG-MILLS FIELDS YANG-MILLS FIELDS

If we give appropiate constraint to the gauge invariant Lagrangian, the variationprinciple of the action convert to the variational problems with subsidiary condition.The effective Lagrangian which contains Lagrangian multiplier may has the mass termof the mesons. In that case we obtain naturally the massive Yang-Mills fields which wasdiscussed by Nakanishi.     

HEAVY-QUARK AND SOFT-COLLINEAR EFFECTIVE THEORY

<正>Updated September 2013 by C.W.Bauer(LBNL)and M.Neubert(U Mainz).17.1.Effective Field Theories Quantum field theories represent the most precise computational tool for describing physics at the highest energies.One of their characteristic features is that they almost inevitably involve multiple length scales.When trying to determine the value of an observable,quantum field theory demands that all possible virtual states and hence all particles be included in the calculation.Since these particles have widely different masses,the final prediction is sensitive to many scales.This fact represents a formidable challenge from a practical point of view.No realistic quantum field theories can be solved     

ANOMALIES,COHOMOLOGY AND ChIERN-SIMONS COCHAINS

We present a concept of the gauge transformations, establish the homomorphic relation between this conomology group and the Chern-Simons type. charaateric class sequence,and analyse their applacatons to the non-Abelian anomaly, the gauge invariant Wess-Zumino effective action and the Schwinger term etc.we show that the present approaches.includes faddeev's song's and zumino'sapproaches.     

一种求解大型稀疏对称矩阵(极端)特征值问题的有效算法

提出一种求解大型稀疏对称矩阵几个最大(最小)特征值和相应特征向量的迭代块DL(即Davidson-Lanczos)算法并且讨论了迭代块DL算法的收敛率     

非对称核物质的化学不稳定性与力学不稳定性

基于扩展的Skyrme有效相互作用,在Hartree-Fock近似下对非对称核物质的化学不稳定性与力学不稳定性进行了研究,并与简单的三参数势,即所谓的软势与硬势的计算结果进行了比较.结果发现两种模型给出的非对称核物质化学不稳定性与力学不稳定性之间的关系是完全不同的.通过研究化学不稳定性在临界温度附近的行为发现,对软势与硬势,化学不稳定性可能出现在温度高于临界温度的气化(全爆炸)机制中.而对于SKM势参数,化学不稳定性不会出现在温度高于临界温度的气化(全爆炸)机制中.这种差别也反映在压强密度平面上力学不稳定 关键词： 非对称核物质状态方程 化学不稳定性 力学不稳定性     

空间域和空间频率域中的对称变换

引入了一类新的积分变换,即对称变换。这类变换在空间域和空间频率域中实现的变换操作是相同的。换句话说,如果一个积分变换器对信号本身及其Fourier频谱作相同的变换操作,那么这种变换即为对称变换。给出了对称变换的成立条件,即当积分变换核是所谓的类自Fourier变换函数时,此变换即为对称变换。并提出了类自Fourier变换函数的一种构造方式。同时还指出,光学中的分数Fourier变换即是一种对称变换。     

迹反常与时间对称性反弹宇宙模型

对κ=0的共形平直时空,由共形反常迹计算了物质场真空的单圈项对有效作用量的贡献,得到一个避免宇宙奇点的时间对称的反弹宇宙解。 关键词：     

轴对称激光系统的静态和旋转横向斑图

讨论在好腔近似下轴对称激光系统中静态和旋转横向斑图的主要结构和特征.数值模拟结果还证实了形成这些斑图的模式强度和频率满足合作频率移动律. 关键词：     

空间域和空间频率域中的对称变换

引入了一类新的积分变换,即对称变换.这类变换在空间域和空间频率域中实现的变换操作是相同的.换句话说,如果一个积分变换器对信号本身及其Fourier频谱作相同的变换操作,那么这种变换即为对称变换.给出了对称变换的成立条件,即当积分变换核是所谓的类自Fourier变换函数时,此变换即为对称变换.并提出了类自Fourier变换函数的一种构造方式.同时还指出,光学中的分数Fourier变换即是一种对称变换.     

热力学的拉格朗日函数

Ｐｌａｎｃｋ和Ｐａｕｌｉ提出了相对论热力学Ｌａｇｒａｎｇｅ函数的一种形式．本文表明：在不同的约束条件下,Ｌａｇｒａｎｇｅ函数的形式是不同的,它可以分别是内能、焓、Ｈｅｌｍｈｏｌｔｚ自由能、Ｇｉｂｂｓ函数、巨势等的负值;文中对该函数的相对论变换性质也进行了讨论     

THE EMC EFFECT AND THE EFFECTIVE BAG RADIUS

In this paper, We present a view point that the reduction of bounded nucleon radius naturally explains the EMC effect. Some discussion is given at the end of the paper concerning the prevalent explanations about the EMC effect.     

EFFECTS OF NONHOLONOMIC CONSTRAINT ON LIE SYMMETRIES AND CONSERVED QUANTITIES OF LAGRANGIAN SYSTEMS

After a Lagrangian system is constrained by nonholonomic constraints, the determining equations, the structure equation and the form of conserved quantities corresponding to the Lie symmetries will change. Some symmetries vanish and under certain conditions some Lie symmetries still remain.     

一种测量微波张量磁化率和有效线宽的方法

本文提出一种能用同一样品测定共振区和非共振区的微波张量磁化率和有效线宽的方法。在此方法中,将外加稳恒磁场旋转,与微波磁场形成一定的夹角,以调整被测样品对谐振腔的影响。同时将Patton采用的计算有效线宽的迭代法,推广用来计算微波张量磁化率各组元X^e,X_α^e和正。负圆偏振标量磁化率X_±^e等。本文还介绍了测量装置和测量结果。 关键词：     

灰渣的有效光学常数及辐射特性

灰渣中各种成分对光学常数的影响不可忽略,本文基于电磁场平均的有效介质理论,利用Maxwell-Garnett、Bruggeman理论分别计算了人工合成灰渣的有效光学常数和辐射特性参数.计算结果表明有效介质理论适用于计算多组分合成灰渣的有效光学常数.针对本文所计算的合成灰渣,Bruggeman理论计算的平均辐射特性参数与实验值的相对误差较小.