光子消灭算符k次幂本征态的量子统计性质

详细讨论了光子消灭算符任意k农幂a~k的正交归一本征态的振幅m(m≤k)次暴压缩和反聚束两种基本非经典效应.     

Melnikov向量与退化情形下的横截异宿轨道

利用指数二分性和泛函分析方法,我们研究了当未扰动系统不具有异宿流形的退化异宿分支.我们利用Melnikov型向量给出了系统在退化情形下的横截异宿轨道存在的充分条件.     

Solitary waves and their bifurcations of KdV like equation with higher order nonlinearity

We investigate the KdV like equation with higher order nonlinearity ut + a(1 +bun)unux + uxxx = 0with n ≥ 1, a, b ∈ R and α≠ 0. The bifurcations and explicit expressions of solitary wave solutions for theequation are discussed by using the bifurcation method and qualitative theory of dynamical systems. Thebifurcation diagrams, existence and number of the solitary waves are given.     

Two Term Asymptotics of Counting Function for One Dimensional p-Laplace Operator with Mixed and Periodic Boundary-value Conditions

1 Main Results Let Ω(?) R be a non-empty open subset with finite Lebesgue measure |Ω|1 and boundary Г= σΩ. We can write Ωas the union of its connected components, i.e., Ω= ∪Ij, where the open intervals Ij are pairwise disjoint and of length lj,. Since |Ω|1= sum from j=1 to ∞lj < +00, we can assume, without loss of generality, that l1 ≥l2 ≥…≥lk ≥…> 0. In this paper, we consider the eigenvalue problem of the p-Laplace operator with mixed boundary-value conditions, i.e.,     

Lie symmetries and conserved quantities of controllable nonholonomic dynamical systems

This paper concentrates on studying the Lie symmetries and conserved quantities of controllable nonholonomic dynamical systems. Based on the infinitesimal transformation, we establish the Lie symmetric determining equations and restrictive equations and give three definitions of Lie symmetries before the structure equations and conserved quantities of the Lie symmetries are obtained. Then we make a study of the inverse problems. Finally, an example is presented for illustrating the results.     

两个回归函数相等的Bootstrap检验

两个回归参数相等性检验一直是统计界感兴趣的问题之一．在这篇文章中，四个检验统计量被用于度量两曲线的差异，在原假设下统计量的分布采用向量数据的重复抽样来逼近，并给出了—些模拟结果．     

类氖锗X光激光双程放大实验研究

本文在神光装置上,进行了类氖锗X光激光双程放大实验研究.实验中使用了硅/钼多层膜X光平面反射镜.用平场光栅谱仪测量了X光激光的时间积分和时间分辨信号.实验证实了X光激光的双程放大.时间积分结果表明,双程放大为单程放大信号的5倍多;时间分辨结果表明,对多层镜的作用时间作修正后,双程放大信号的增强倍数还要大.在本实验条件下,多层镜的寿命约为400—700ps.     

NFZ-10工业辐照电子直线加速器

研制的电子直线加速器ＮＦＺ－１０的辐照加工能力相当于３０ＰＢｑ的６０Ｃｏ源，电子束能量为４～１２ＭｅＶ，平均束功率为３ｋＷ，扫描宽度为１ｍ，能量不稳定度≤±０．５％，束流不稳定度≤±０．６％，扫描不均匀度≤±２．５％。ＮＦＺ－１０加速器已被用于辐照各种电力半导体器件，一年多来运行稳定可靠并获得较好的经济效益。     

小型自冷式油扩散泵

在真空实验中,要想使系统获得高真空(10~(-2)Pa以下的气压),除用机械泵对系统进行排气外还必须加高真空泵,其中最常用的就是扩散泵。一般商品扩散泵都是多级泵,是由几个单级泵串联而成。泵的外形有立式、卧式;泵体材料有玻璃的、金属的;使用的工作液有汞、油等。但它体积大、自身重、需水冷,如果被排气的系统或容器容积不大,使用这种扩散泵无论从经济上还是从实用上考虑都显得大才小用。我们在实验中使用自己设计制做的二级自冷卧式玻璃油扩散泵。它的结构如图1所示,此扩散泵     

二次自催化反应系统的极限环

这反应描述了从原料Y到物质X的自催化作用的形成,随后衰变成最后的生物F,而F是以无限速度消除的。如果X和Y是酶,这反应速率可以非线性地依赖于X,Y的浓度,因此能量方程为