Density and momentum dependence of the coupling strengths for scalar and vector fields

The collision term has been deduced based on the effective Lagrangian in addition to the mean-field. We propose the momentum- and density-dependent coupling strengths for scalar and vector fields. The saturation properties of nuclear matter, the experimental data of the energy-dependent optical potential and the mean free path in the nuclei can be reproduced simultaneously. The in-mediumn–n cross section has also been calculated for different densities and energies, our results are consistent with Dirac-Brueckner-Hartree-Fock calculations.Supported by National Natural Science Foundation of China     

信息给予题刍议

近几年来,化学竞赛和高考的特点,就是越来越注重考查学生的能力,注重已学知识的类比、推理和迁移,从而发展出了新题型——信息给予题,它以题干的方式给出信息,要求学生能认真分析,抓住本质特征,寻找题目的要求和给予信息之间的联系,运用中学已学过的知识与规律,综合考虑得出合理答案,其整体水平符合竞赛和高校的选拔要求.     

非等距三次样条(Ⅰ)型插值函数余项渐近展开

摘要本文利用基样条插值方法,给出非等距I型三次样条插值误差的余项渐近展开式,推广了文献[1]中的结果。     

标量场与电磁场相互作用体系中的Gasimir效应

摘要本文用Feynmann路径积分方法,研究了一种U(1)规范场理论中的Casimir效应。在一圈图近似下,计算了带电标量场在两个平行的理想金属板之间的Casimir能,并对低维情况进行了讨论。     

准两腔振荡器的理论和实验研究

根据两腔振荡器和返波管的特点提出了准两腔振荡器，其作用机理是两腔振荡器的机理，结构类似返波管.这种结构主要由调制腔组和换能腔组两部分组成，调制腔组实现电子束速度调制，调制后的电子束在通过一个微波场较弱的区间时实现电子束群聚，然后在换能腔组实现电子能量到微波能量的转化，并通过输出结构输出；同时，调制腔组和换能腔组之间存在微波耦合，换能腔组中的一部分微波能量可以耦合到调制腔组，形成一个正反馈回路，在一定条件下实现微波振荡.根据此理论，根据Sinus-700加速器的参数(800 kV，10 kA)设计了一个X波段的高功率微波器件，2.5维Particle in Cell (PIC)程序模拟的效率为28%，微波频率为9.42GHz，微波输出功率为2.25GW，实验上得到的微波输出为微波频率9.40GHz，微波输出功率2.44GW. 关键词： 两腔振荡器 返波管 多波切仑可夫微波器件     

Tracking poles and representing Hankel operators directly from data

Summary We propose and analyse a method of estimating the poles near the unit circleT of a functionG whose values are given at a grid of points onT: we give an algorithm for performing this estimation and prove a convergence theorem. The method is to identify the phase for an estimate by considering the peaks of the absolute value ofG onT, and then to estimate the modulus by seeking a bestL ² fit toG over a small arc by a first order rational function. These pole estimates lead to the construction of a basis ofL ² which is well suited to the numerical representation of the Hankel operator with symbolG and thereby to the numerical solution of the Nehari problem (computing the bestH , analytic, approximation toG relative to theL norm), as analysed in [HY]. We present the results of numerical tests of these algorithms.Partially supported by grants from the AFOSR and NSF     

波动方程反演问题的一种新的逼近方法

本文给出了一种求解波动方程反演问题的“多目标函数法”.这种方法简单、有效,并具有明确的物理意义.对于三维问题的程序化它有很强的优越性.     

Local Likelihood Method in the Problems Related to Chang Points

In this paper, the so-called local likelihood method is suggested for solving the change point problems when the data are distributed as multivariate normal. The detection procedures proposed not only provide strongly consistent estimates for the number and locations of the change points, but also simplify significantly the computation.     

Ideals and Subalgebras in BCI-Algebras

We prove that there exists a maximal ideal of a BCI-algebra X in which each subalgebra is an ideal.AMS Subject Classification (1991): 06F35, 03G25.The second author was supported by the LG Yonam Foundation (1995).