一类广义Birkhoff系统的无限小正则变换与积分

研究一类广义Birkhoff系统的无限小正则变换与积分, 建立这类广义Birkhoff系统的方程,将Birkhoff系统的无限小正则变换与积分的有关结果推广到这类广义Birkhoff系统,举例说明结果的应用.     

Scheme for Concentration of the <Emphasis Type="Italic">W</Emphasis> Class State via Cavity Decay

We propose a concentration scheme of the W class state via cavity QED technique. In our scheme the influences of cavity decay and atomic spontaneous emission have been considered. Furthermore, the atomic spontaneous emission has been suppressed by using non-radiative transitions in atoms with three-level structure, and the photonic qubit is used as flying qubit and atomic qubit as stationary qubit. Therefore our scheme is comparatively easy to realize within techniques presently available.     

一类非线性算子方程解的存在唯一性定理及其应用

在抽象连续函数空间中，用迭代方法讨论了一类非线性算子方程解的存在唯一性，并将其结果应用于Banach空间中的积分方程．     

A simple method for clock recovery

All optical bit clock recovery is one of the key technologies for all optical 3R recovery. In this paper, a simple method applying the combination of Fabry–Perot (F–P) filter and semiconductor optical amplifier (SOA) for clock recovery is proposed. The effect of the F–P filter finesse on the clock recovery and the reduction in the amplitude fluctuation of the clock pulse by the SOA are discussed theoretically. With this technology 10 Gbit/s clock recovery with equal amplitude and wavelength transparency was realized experimentally.     

Search for high dimensional integrable models

The possible high dimensional integrable models are studied in three different aspects: (i) starting from a strong symmetry operator of a known (1+1) -dimensional integrable model, we can construct a type of (n+1)-dimensional integrable models, high dimensional breaking soliton equations; (ii) from every concrete realization of the generalized Virasoro algebra, we can get many high dimensional integrable models in the meaning that the models possess generalized Virasoro symmetry algebra; (iii) starting from the Schwartz equations which possess conformal invariance, we can also get various high dimensional integrable models in the meaning that they possess Painlevé property. Project supported by the National Natural Science Foundation of China and the Natural Science Foundation of Zhejiang Province.     

Banach空间中超线性Hammerstein型积分方程的解及其应用

本文利用不动点指数理论研究Ｂａｎａｃｈ空间中超线性Ｈａｍｍｅｒｓｔｅｉｎ型积分方程正解及非零解的存在性，并应用于Ｂａｎａｃｈ空间中超线性常微分方程的Ｓｔｕｒｍ－Ｌｉｏｕｖｉｌｌｅ问题，最后，本文给出了一个非线性常微分方程无穷组存在正解的例子．     

高分子添加剂对激光染料荧光的增强效应

本文研究以水作溶剂的Rh-6G激光染料中加入高分子添加剂——聚乙二醇(分子量为6000)引起的染料荧光的增强效应。通过荧光光谱,吸收光谱与染料浓度,添加剂含量的关系的实验研究,定量地给出了不同添加剂量对荧光的增强作用。表明了荧光增强效应的机理主要是添加剂抑制了二聚物的形成。     

关于S.Axler的一个猜想的注记

In this note, we prove that a^p,q,a(0-1) is a self-con jugate spacl, so a^p ( =a^p,q,a) is self-conjugate, in other words, we prove that the conjecture of S. Axler istrue.