透析美国文化与美国人的思维

美国历经二百多年的发展,如今已成为世界上科技领先、经济发达、实力雄厚的国家,并孕育了丰富多彩的文化。笔者通过透析美国文化,向人们展示了美国人所拥有的创新思维品质,并希望能把这一思维品质融入到我们的文化中来,使我们的文明古国更加生机盎然,永远屹立在世界的东方。     

双参数变形量子代数SU（1，1）_（q，s）的Nodvik实现和Holstein—Primakoff实现

给出了双参数变形量子代数ＳＵ（１，１）ｑ，ｓ的Ｎｏｄｖｉｋ实现和Ｈｏｌｓｔｅｉｎ－Ｐｒｉｍａｋｏｆｆ实现，并给出了ＳＵ（１，１）ｑ，ｓ，和双参数变形振子的变形映射。     

Computation of collective modes and acoustic investigations at different temperatures of vitrous silica

This paper is mainly concerned with elastic and acoustic properties of vitrous silica besides the computation of phonon frequencies. Thus the phonon frequencies of vitrous silica have been calculated assuming the electronic bulk modulus,K _e, as equal to zero. New equations have been derived to relate the pressure derivatives of second order elastic constants to the acoustic Gruneisen’s parameters using both Bhatia-Singh’s parameters and Schofield’s equations. The calculated longitudinal and transverse Gruneisen’s parameters and the predicted absorption band spectra from Nagendranath’s equation and Bhatia Singh’s parameters are in good agreement with experiment. The calculated mean acoustic mode Gruneisen’s parameter evaluated from the pressure derivative of Nagendranath’s equation is also in good agreement with experiment. An erratum to this article is available at .     

On Overspill Principles and Axiom Schemes for Bounded Formulas

We study the theories I?_n, L?_n and overspill principles for ?_n formulas. We show that IE_n ? L?_n ? I?_n, but we do not know if I?_n L?_n. We introduce a new scheme, the growth scheme Crγ, and we prove that L?_n ? Cr?_n? I?_n. Also, we analyse the utility of bounded collection axioms for the study of the above theories. Mathematics Subject Classification: 03F30, 03H15.     

过压自保护晶闸管二维电场分析

应用有限元法,对两种不同门极结构的过压自保护光控晶闸管的电场分布进行计算机模拟,讨论了电场分布与结构参数的关系及其对过压自保护特性的影响.计算表明,无P~-层晶闸管的穴区最大电场同时受到穴径和穴深的制约,而有p~+层的晶闸管穴径对电场的影响可以忽略,穴区最大电场主要由穴深确定.理论和实验均表明,控制门极的穴径和穴深可以达到控制门极自保护特性的目的.     

Scaling laws of complex band random matrices

We study a model of complex band random matrices capable of describing the transitions between three different ensembles of Hermitian matrices: Gaussian orthogonal, Gaussian unitary and Poissonian. Analyzing numerical data we observe new scaling relations based on the generalized localization length of eigenvectors. We show that during transitions between canonical ensembles of random matrices the changes of statistical properties of eigenvalues and eigenvectors are correlated.     

新型大功率氧化物导电陶瓷

介绍一种新型大功率氧化物导电陶瓷．该陶瓷是以六角密堆（ＨＣＰ）结构的ＺｎＯ为主要原料，添加少量杂质，采用电子陶瓷工艺研制而成．研究了陶瓷材料的差热分析（ＤＴＡ）及扫描电子显微结构．测量了瓷体的电阻率．     

CALCULUS ON CANTOR TRIADIC SET （Ⅱ）—EXCEPTIONAL SET

In this paper the derivative and its exceptional set according to the alternatively jumping function and self-similar function respectively are discussed. And in the appendix, a proof of the statement 1.2(2) of “Calculus on Cantor triadic set (Ⅱ)—derivative” which is important to the discussion of exceptional set is given.     

A gasdynamic jet carrying excited metal atoms as a spectral light source and a chemical reactor

A gasdynamic jet is described, which carries excited metal atoms in subsonic or supersonic flow. The excitation is performed by a hot hollow cathode discharge. The jet expands parallel into an atmosphere of a few mbar. Its use will be in atomic and molecular spectroscopy, in chemistry and spectroscopy of free radicals, and in electronic-transition chemical laser design.     

一类非线性薛定谔方程的孤子解

 研究了具有V(x,t)=f₁(t)x+f₂(t)x²形式的外部势的非线性薛定谔方程的单一孤立子解.结果表明:当孤立子的中心满足带有势V(x,t)的牛顿方程,孤立子的内部结构由"体固定"坐标系决定.孤立子的结构与f₁(t)无关.若f₂(t)与t无关,孤立子是固定的.原则上,若f₂(t)剧烈变化,则孤立子将扩散.但数值计算表明,在一定条件下,孤立子还是经得起f₂(t)的剧烈变化.