The penetration, diffusion and energy deposition of high-energy photon

This paper presents a new theory for calculating the transport of high-energy photons and their secondary charged particles. We call this new algorithm characteristic line method, which is completely analytic. Using this new method we cannot only accurately calculate the transport behaviour of energetic photons, but also precisely describes the transport behaviour and energy deposition of secondary electrons, photoelectrons, Compton recoil electrons and positron-electron pairs. Its calculation efficiency is much higher than that of the Monte Carlo method. The theory can be directly applied to layered media situation and obtain a pencil-beam-modelled solution. Therefore, it may be applied to clinical applications for radiation therapy.     

Excited Stated in ^207Rn

Excited states ^207Rn are investigated via the^196Pt(^16O,Sn)^207 Rn reaction at beam energies from 85 to 95 MeV using techniques of in-beam γ-ray spectroscopy.Measurements of γ-ray excitation function,x-γ and γ-γ-t conincidences are performed with ten BGO(AC) HPGe detectors.Based on these measurements,a level scheme of ^207Rn,including 17 γ-rays and 18 levels,is established.Spins for most of the levels are proposed according to the measured DCO ratios.The level struccture is compared with a weak-coupling calculation using the interaction energies extracted from neighbouring nuclei.     

Decay Rate of Energy Eigenfunctions in Classically Energetically Inaccessible Regions in more than One-Dimensional Configuration Spaces

An approximate formula is proposed for the decay rate of energy eigenfunctions in classically energetically inaccessible regions in more than one-dimensional configuration spaces. This is achieved by generalizing an approach proposed recently for energy eigenfunctions in the one-dimensional configuration space. The formula is tested numerically in the Pullen-Edmonds model.     

无理数（q）＾（1／p）近似值的一种有效求法

对于如何无限逼近无理数的问题,现在已经有很多方法.例如丢番图逼近论、相似性、一致分布、线性无关、Bonach不动点等.但这些方法大多得用到高等数学中较深的知识.有没有一种较为简单的逼近法呢?下面就(?)一类无理数如何逼近问题介绍一种简单且易操作的方法.     

HILBERTIAN INVARIANCE PRINCIPLE FOR EMPIRICAL PROCESS ASSOCIATED WITH A MARKOV PROCESS

The authors establish the Hilbertian invariance principle for the empirical process of a stationary Markov process, by extending the forward-backward martingale decomposition of Lyons-Meyer-Zheng to the Hilbert space valued additive functionals associated with general non-reversible Markov processes.     

基于Schrdinger方程的耦合常数解析延拓方法

基于Schr¨odinger方程 ,利用耦合常数解析延拓方法研究了球对称的方势阱、Woods Saxon势和谐振子势中的单粒子共振态的能量与宽度 .分析了耦合常数的取值区间和Pad啨多项式阶数对计算结果的影响 .结果发现 ,在适当的耦合常数取值范围内 ,随着Pad啨多项式阶数的增加可以得到稳定和收敛的单粒子共振态能量与宽度 .     

从B~3到旋转椭球面的带某类边界调和映照的存在性

本文研究从单位球到旋转椭球面的调和映照问题，简化问题为一个双变量的二阶椭圆型拟线性方程，并仔细分析了方程解的状况，证明了，当给定某类度数是零的单位球面到棉球面的轴对称映照时，必存在到Ｂ３的轴对称正则调和延拓．     

连续树映射非游荡集的拓扑结构

本文研究树（即不含有圈的一维紧致连通的分支流形）上连续自映射的非游荡集的拓扑结构．证明了孤立的周期点都是孤立的非游荡点；具有无限轨道的非游荡点集的聚点都是周期点集的二阶聚点，以及ω－极限集的导集等于周期点集的导集和非游荡集的二阶导集等于周期点集的二阶导集．