菲涅耳公式的几何图示记忆法新探

通过对菲涅耳公式的分析,找到一种新的简单直观的几何图示,能完整地给出菲涅耳公式的四个振幅比关系.     

Laser Based Techniques for Ultra Trace Isotope Production, Spectroscopy and Detection

A variety of research activities in the field of fundamental and applied nuclear physics has evolved in the last years using resonantly tuned radiation from powerful lasers. The technique of resonance ionization spectroscopy has delivered outstanding results and found broad acceptance in the last years as a particularly efficient and highly selective method for rare and exotic radioisotope studies. It is used for production, spectroscopy and detection of these species and provides complete isobaric, high isotopic and even some isomeric selection, which altogether is needed for on-line investigation of short lived species far off stability as well as for ultra trace determination. Good overall efficiency pushes the experimental limits of detection in elemental trace analysis down to below 10⁶ atoms per sample, and additionally isotopic selectivity as high as 3 × 10¹² has been demonstrated. The widespread potential of resonance ionization techniques is discussed, focusing on the experimental arrangements for applications in selective on-line isotope production, spectroscopy of rare radioisotopes and ultra trace determination of radiotoxic isotopes like ²³⁸Pu to ²⁴⁴Pu, ^135,137Cs, ^89,90Sr or ⁴¹Ca in environmental, technical and biomedical samples.     

Creation Operators for the Macdonald and Jack Polynomials

Formulas of Rodrigues-type for the Macdonald polynomials are presented. They involve creation operators, certain properties of which are proved and other conjectured. The limiting case of the Jack polynomials is discussed.     

Maxwell–Chern–Simons场的Casimir效应

利用约束理论对AbelMaxwell-Chem-Simons场进行路径积分量子化. 并利用复变函数论中Plana求和公式,计算(2+1)维空间中两个平行导线型边界的Casimir效应. 不引任何截断参数,而得出有限的解析表达式.     

痕量钴镍的催化极谱同时测定的研究

钴(Ⅱ)镍(Ⅱ)在丁二酮肟、亚硝酸钠、磺基水杨酸和NH_4OH-NH_4CI的溶液中,均能产生相当灵敏的催化波,其峰电位分别为-1.27V(钴)和-1.08V(镍)(Vs,S.C.E).在浓度为1.0×10~(-10)～1.0 ×10~(-6)g/mL(钴)和1.0×10~(-9)～1.0×10~(-6)g/mL(镍)的范围内,峰高与浓度成线性关系.用该方法同时测定了水体中、头发中、高纯氧化铜及钴矿中的痕量钴和镍.还测定了维生素B_(12)和C中的痕量钴.     

关于一般Guass-Birlhoff求积公式的注(英文)

本文证明了对于关联矩阵E＝（E1，E2），其中E1满足Polya条件，在其内行不含奇序列，E2是正则的，一般Guass-Birkhoff求积公式的存在性。     

传感器的补偿及回归精度分析

本文讨论了传感器输入与输出的关系以及所采取的线性补偿及非线性补偿方法，得出了经验公式及回归精度。     

关于一个矩阵迹的不等式的注记

本文修正了［２］中的一个矩阵迹的不等式的一些错误，证明了ｔｒ［（Ａａ一Ｂａ）（Ａ一β一Ｂβ）］＜０当且仅当αβ＞０且Ａ≠Ｂ，ｔｒ［（Ａａ－Ｂａ）（Ａ－β－Ｂ－β）］＞０当且仅当αβ＜０且Ａ≠Ｂ，这里Ａ，Ｂ是ｎ×ｎ的Ｈｅｒｍｉｔｅ正定矩阵．     

烷基苯的热力学性质与分子拓扑指数的关系研究

此文分析了烷基苯的结构特点，以分子的拓扑指数为结构参数，研究了苯、烷基系列的燃烧热，生成自由能等八种热力学性质与结构参数的关系，提出计算热力学性质的一个通用关系式Ｙ＝ａ·Ｎ＋ｂ·Ｒ＋ｃ·ＮＲ＋ｄ，用计算机处理，得到一系列经验公式，计算结果表明：烷基苯系列的热力学性质与拓扑指数相关性能很好。