多项式的最大公因式的一种新求法

本文介绍了一种利用数域上矩阵的初等行变换求一组一元ｎ次多项式的最大公因式的方法．     

英国创意产业在经济转型中的作用及启示

结合太原市的实际,借鉴英国的做法,提出了在太原市发展创意产业的总体设想、发展思路、具体布局及政策建议等,希望能为太原市的经济发展提供参考价值。     

一类二阶方程组的次调和解

本文主要研究一类二阶方程组的次调和解。在适当的前提下，得到了该方程组存在一列极小周期至多只有有限个相同的周期解。     

Large families of laplacian isospectral graphs

Two graphs are isomorphic only if they are Laplacian isospectral, that is, their Laplacian matrices share the same multiset of eigenvalues. Large families of nonisomorphic Laplacian isospectral graphs are exhibited for which the common multiset of eigenvalues consists entirely of integers.     

Darboux transformation and elementary exact solutions of the Schrödinger equation

Darboux transformation is applied to three classical potentials, namely the harmonic oscillator, effective Coulomb and Morse potentials to generate exactly solvable potentials of elementary form. For every potential, the isospectral families of potentials are constructed. For almost all potentials, a set of normalized discrete spectrum wave functions is given.     

Auxiliary-field Monte Carlo methods

I discuss Monte Carlo algorithms for quantum many-body systems that employ an auxiliary field to linearize a two-body interaction. These reduce the evaluation of the partition function to sampling many one-body evolutions in a fluctuating field. Fermions and bosons are treated on an equal footing. Applications to potential models and to quantum spin systems are discussed. This work was supported in part by the National Science Foundation, grants PHY82-07332 and PHY85-05682. The potential-model studies were done in collaboration with G. Sugiyama, while A. Khan and T. Troudet were responsible for the work on the quantum spin systems.     

Electrochemical activation of freons using electron transfer mediators

This overview discusses the electrochemical activation of freons CF₂ClCFCl₂ (CFC113), CF₃Br (FC13B1), and CF₂Cl₂ (CFC12) using various electron transfer mediators: complex nickel(ii) compounds with nitrogen-containing tetradentate ligands and bipyridyl, aromatic derivatives (perylene, p-dicyanobenzene, Å-azobenzene, and others), and sulfur dioxide. A possibility was shown of the homogeneous catalytic activation of freons by two mutually supplementing electron transfer mediators: methylviologen—SO₂ and I₂—SO₂. The involvement of freons by the electron transfer mediators into the syntheses of valuable organic products under mild conditions was demonstrated for several examples.     

特征奇异积分方程的直接解法

通过引进基本特征方程和摹本化算子，研究厂带解析系数函数和核密度函数的特征奇异积分方程的直接解法，给山其可解的充要条件和解的封闭形式，本文采用的方法，不同于经典的边值问题解法，特征奇异积分方程无须化为等价的边值问题而实观真正意义上的直接求解。     

光子-磁振子相互作用过程：铁磁共振线宽的一种机制

通过分析磁振子的激励与弛豫过程，指出光子-磁振子的相互作用是铁磁共振线宽的机制之一， 利用幺正变换得到了3玻色子相互作用项的对角化哈密顿量，为精确计算共振线宽提供了依据。     

用重整化群流方程研究重费密子系统的重整杂化带模型

重整化群流方程方法是一种非常有用的理论研究工具,它可以用于各种物理系统中,求取系统的能谱和期望值,由此获得系统的一些属性.用该方法研究重费密子系统推广后的重整杂化带模型,求得相应的两支准粒子能带,这些结果与用常规的格林函数方法求得的结果完全一致.