Feynman propagator for an arbitrary half-integral spin

Based on the solution to Bargmann-Wigner equation for a particle with arbitrary half-integral spin, a direct derivation of the projection operator and propagator for a particle with arbitrary half-integral spin is worked out. The projection operator constructed by Behrends and Fronsdal is re-deduced and confirmed and simplified, the general commutation rules and Feynman propagator with additional non-covariant terms for a free particle with arbitrary half-inteRzal spin are derived, and explicit expressions for the propagators for spins 3/2, 5/2 and 7/2 are provided.     

半连续格的刻画和映射

本文讨论了半连续格的一些性质,在半连续格中引入半Scott开集族,用半Scott开集族来刻画半连续格,同时定义了半连续格之间的半连续映射,得到闭包算子的像仍是半连续格的条件.最后,研究了半连续格上的半连续映射的全体不动点之集的性质。     

Schottky Barrier Height Inhomogeneity of Ti／n—GaAs Contact Studied by the I—V—T Technique

The current-voltage characteristics of Ti/n-GaAs Schottky diodes measured over a temperature range of 78-299K have been interpreted on the basis of thermionic emission across an inhomogeneous Schottky contact.The experiment shows that the apparent barrier height (φap) increases from 0.437eV at 78K to 0.698eV at room temperature.the plot of φap versus 1/T does not exhibit a simple linear relationship over the whole temperature range,indicating that the barrier height distribution is more complicated than the frequently observed single Gaussian distribution.A new multi-Gaussian distribution model is developed.Our experimental results can be explained by a double Gaussian distribution of the barrier heights.The weight,the mean barrier height,and the standard deviation of the two Gaussian functions are 0.00001 and 0.99999,0.721 and 0.696,0.069 and 0.012eV,respectively.     

关于半线性热方程整体解的注记

利用Besov空间的热核刻画及压缩映射原理,研究半线性热方程ut-△u＝u|u|a的初值问题,得到了当初值u0∈Lp0(Rn)且||u0||(B·)p-n (1/p0-1/p),∞(Rn)(p0＝na/2,p＞p0)充分小时,整体解的存在性及在一定条件下解的惟一性.     

环上半线性椭圆型方程正解的存在性和唯一性

本文讨论了半线性椭圆方程△u+f(u)=0在三种边界条件下正解的存在性和唯一性,给出了正解存在和唯一的一些条件.     

自反BCK—代数

本文在BCK-代数中引进稳定子的概念，并定义一类特殊的BCK-代数——自反BCK-代数，证明自反BCK-代数的概念与半单BCK-代数的概念是一致的。同时对于有限BCK-代数还得到它是自反的一个充要条件。     

BAHADUR ASYMPTOTIC EFFICIENCY IN A SEMIPARAMETRIC REGRESSION MODEL

ＢＡＨＡＤＵＲＡＳＹＭＰＴＯＴＩＣＥＦＦＩＣＩＥＮＣＹＩＮＡＳＥＭＩＰＡＲＡＭＥＴＲＩＣＲＥＧＲＥＳＳＩＯＮＭＯＤＥＬ￥ＬＩＡＮＧＨＵＡ；ＣＨＥＮＧＰＩＮＧＡｂｓｔｒａｃｔ：ＴｈｅａｕｔｈｏｒＳｇｉｖｅＭＬＥθ１ＭＬｏｆθ１ｉｎｔｈｅｍｏｄｅｌＹ＝θ...     

稀土的发射光谱分析

本文介绍了稀土分析的发射光谱法，包括（1）痕量稀土镧和钆的粉末筛选电极法，镧、钆、铕、镨、钕和钐的载体分馏法。（2）岩石和矿物中稀土分析的直接法（Pyc-aHOB法）和化学光谱法（ЛaКTИOHOBa法）。（3）氧化铕中稀土元素及杂质的光谱分析的全能量法和分馏法，稀土元素氧化物混合物的光谱全分析法。（4）钢中铈、镧和钡的测定（CopoКИHa法），钢、金属和合金中稀土元素的化学光谱测定，纯金属、钢及镍合金中铈、镧、钕、镨、铒、铥、钐和钇的测定等。     

不变性在线性代数中应用两例

本介绍数学中“不变性”思想，讨论了线性代数中某种条件下秩数不变、特征多项式带征值不变；对称性、半正定、正定性不变；以及度量性不变，一以初等变换为首要方法，解决线性代数中一类重要问题，阐述了矩阵或线性方程组线性变换的本质。