直生强子产率的普适质量关系

利用“隧道效应”给出的QCD真空激发产生夸克的几率,结合夸克随机组合成强子的简单图像,不需要任何附加假定得到各种高能反应直生介子、重子相对产率都满足同样的普适质量关系〈n〉=aexp(–bm),这个质量关系与反应质心能量和具体反应过程无关.与最近分析实验发现的经验公式形式上完全一样,这意味着强子质量是描述粒子多重数最基本的物理量.     

Identification of hidden variables through Everett’s formalism

It is well known that the conventional interpretation of quantum mechanics entails several paradoxes which have not been resolved in a complete and convincing way. To avoid these paradoxes other interpretations were suggested and advances, among which were the “hidden variables” theory (HV) of Bohm and Bub [1], and the “relative state” theory of Everett [2]. These HV have not, up to now, been identified, but if we compare these theories we can show an equivalence between them, and arrive at a possible definition of the HV.     

An accurate relativistic universal Gaussian basis set for hydrogen through Nobelium without variational prolapse and to be used with both uniform sphere and Gaussian nucleus models

An accurate relativistic universal Gaussian basis set (RUGBS) from H through No without variational prolapse has been developed by employing the Generator Coordinate Dirac-Fock (GCDF) method. The behavior of our RUGBS was tested with two nuclear models: (1) the finite nucleus of uniform proton-charge distribution, and (2) the finite nucleus with a Gaussian proton-charge distribution. The largest error between our Dirac-Fock-Coulomb total energy values and those calculated numerically is 8.8 mHartree for the No atom.     

直立防波堤上部分反射的三阶双色双向水波理论

为充分克服以往直立防波堤上立波波浪力的内在局限性和刻画直立防波堤堤前的多色多向波,提出一种可包含经典二维长峰波解和三维单色单向短峰波解的部分反射的三阶双色双向水波理论,并从中推断出适用于高阶多色多向波系统的一项普适法则——偶数阶频率为零,奇数阶频率个数构成一等比数列.     

Simultaneous approximation by universal series

We show that, if individual universal series exist, then we can choose a sequence of universal series performing simultaneous universal approximation with the same sequence of indices. As an application we derive the existence of universal Laurent Series on an annulus using only the existence of universal Taylor Series on discs. Our results are generic (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

Realizing enveloping algebras via varieties of modules

By using the Ringel-Hall algebra approach, we investigate the structure of the Lie algebra L（A） generated by indecomposable constructible sets in the varieties of modules for any finite- dimensional C-algebra A. We obtain a geometric realization of the universal enveloping algebra R（A） of L（A）, this generalizes the main result of Riedtmann. We also obtain Green＇s formula in a geometric form for any finite-dimensional C-algebra A and use it to give the comultiplication formula in R（A）.     

sl(2,F)PBW定理的另一种证明

设F是任意域,L是F上任意一个李代数,文献[1]给出了关于L的PBW定理及证明.本文对L=sl(2,F)我们给出了PBW定理的另一种证明方法.     

泛Clifford分析中无界域上的Cauchy积分公式和Cauchy-Pompeiu公式

本文研究了泛Clifford分析中的Cauchy积分公式和Cauchy-Pompeiu公式.通过引入修正的Cauchy核,得出了取值在泛Clifford代数上的两公式在无界域上的表达式.此两公式是有界域上的相应结果的推广,并为研究无界域上的边值问题打下了基础.     

多思路巧妙测量阻尼常数及计时仪器的开发

本文从物理实验测量和计时仪器开发两个方面同时入手,从运动学角度出发,分别选用U形和条形遮光片,且灵活利用通用计数器的各个功能,综合提炼出7种实验方案测量阻尼常数,其测量值在1.31～1.53之间,实验结果重复性和一致性较好.同时开发新的计时仪器,直接应用于本实验,使测量过程变得简单易行.