纳米晶对Er3＋离子各能级动态布居的影响

根据前驱玻璃和纳米晶结构玻璃陶瓷中Er3＋的强度参量,分别计算了各能级间的跃迁几率,建立了描述动力学过程的速率方程,证实了纳米晶结构能有效增加4F9/2能级的粒子布居数,同时减少4I9/2能级的粒子布居数.     

电磁感应透明物理机制的解释

利用半经典理论,以A型三能级原子系统为例,研究了电磁感应透明的物理机制．通过暗态、缀饰态和密度矩阵方程三种理论,解释了当激光场与原子系统相互作用时,原子在光场诱导的跃迁通道间发生量子相干效应是出现电磁感应透明的原因．     

积分型延迟微分方程隐式欧拉方法的稳定性分析

讨论了隐式欧拉方法应用于一类积分型延迟微分方程的延迟依赖稳定性。首先依据文献资料,在参数平面上画出了解析稳定区域,获得了数值稳定区域包含解析稳定区域的必要条件,由此得到隐式欧拉方法的相容性结果,最后给出了数值例子。     

含Riemann-Liouville导数分数阶微分方程比较定理的推广

利用分数阶微分方程与相应的Volterra积分方程的等价性,将含Riemann-Liouville导数的分数阶微分方程比较定理中的阶数α的取值范围由(0,1)推广到(n-1,n),n∈Z+,得到任意分数阶的微分方程比较定理,从而扩大了含Riemann-Liouville导数的分数阶微分方程比较定理的使用范围.     

产业集聚加剧了中国的环境污染吗--来自中国省级层面的经验证据

本文选取了中国1999-2010年31个省市区的面板数据为分析样本,构建面板数据联立方程模型,分别从全国层面和东、中、西部三大地区层面,实证研究了产业集聚对环境污染的影响。结果发现,产业集聚有利于降低环境污染程度,产业集聚并不是近年来环境污染和生态破坏加剧的原因;对外开放程度对环境污染的影响显著为负,从整体上来看,“污染避难所”假说在中国并不成立;产业集聚的正向环境外部性效应存在显著的区域差异,对东部地区环境污染的改善作用大于中西部地区。在此基础上,运用两步系统广义矩估计法进行稳健性检验,发现产业集聚对环境污染具有正U形影响,且二者关系处于U形曲线的下降通道中,因此,产业集聚达到一定程度时将有助于改善环境污染。     

Instrumental Variables Two-Stage Least Squares (2SLS) vs. Maximum Likelihood Structural Equation Modeling of Causal Effects in Linear Regression Models

In the presence of omitted variables or similar validity threats, regression estimates are biased. Unbiased estimates (the causal effects) can be obtained in large samples by fitting instead the Instrumental Variables Regression (IVR) model. The IVR model can be estimated using structural equation modeling (SEM) software or using Econometric estimators such as two-stage least squares (2SLS). We describe 2SLS using SEM terminology, and report a simulation study in which we generated data according to a regression model in the presence of omitted variables and fitted (a) a regression model using ordinary least squares, (b) an IVR model using maximum likelihood (ML) as implemented in SEM software, and (c) an IVR model using 2SLS. Coverage rates of the causal effect using regression methods are always unacceptably low (often 0). When using the IVR model, accurate coverage is obtained across all conditions when N = 500. Even when the IVR model is misspecified, better coverage than regression is generally obtained. Differences between 2SLS and ML are small and favor 2SLS in small samples (N ≤ 100).     

An Evaluation of Latent Growth Models for Propensity Score Matched Groups

Because random assignment is not possible in observational studies, estimates of treatment effects might be biased due to selection on observable and unobservable variables. To strengthen causal inference in longitudinal observational studies of multiple treatments, we present 4 latent growth models for propensity score matched groups, and evaluate their performance with a Monte Carlo simulation study. We found that the 4 models performed similarly with respect to model fit, bias of parameter estimates, Type I error, and power to test the treatment effect. To demonstrate a multigroup latent growth model with dummy treatment indicators, we estimated the effect of students changing schools during elementary school years on their reading and mathematics achievement, using data from the Early Childhood Longitudinal Study Kindergarten Cohort.     

培育和提高研究生自我效能感探研

培育和提高研究生的自我效能感,是当前高等学校人才培养的重要内容和责任。选取云南大学2010级在读硕士研究生为研究对象,从培养研究生的视角,探索自我效能感对促进和提高在读硕士研究生的认知能力、创新能力、意志力以及情绪控制能力的意义,分析影响自我效能感的行为表现、动机和情绪等特点,总结归纳出培养和提高研究生自我效能感的若干建议。旨在探索硕士研究生的培养过程,以适应社会需求。     

修正的Volterra格子方程的精确解

对G'/G展开法进行了扩展,并将该方法应用到非线性差分微分方程的求解领域,通过借助符号计算系统Mathematica,得到了修正的Volterra格子方程的多组含参的新的精确解,包括双曲函数解、三角函数解和有理函数解.     

数学物理方法教学的思考与探讨

文章对目前高校数学物理方法教学与学生学习中存在的问题进行了思考,并提出了一些建设性的想法和意见,旨在提高数学物理方法的教学质量和学生学习数学物理方法的能力.