Analytical Solution and Production of Coherent State of the Generalized Dissipative Two-Mode Optical System

We obtain the analytical solution to the master equation in the photon number representation by using algebraic dynamical method in the nonautonomous case. Based on the solution we find that a two-mode coherent sate can be produced within dissipative background, and the averaged photon number for each mode is related to the damping constant, external field amplitude and coupling constant between two modes.     

AKNS方程的新双Wronski解

通过构造双Wronski行列式元素的矩阵方法, 导出二阶AKNS方程的孤子解、 有理解、Matveev解和Complexiton解, 其中后三类解是新解, 并借助约化 求得非线性Schrödinger方程的有理解.     

双光子J-C模型场熵的压缩特性

研究了双光子过程J—C模型场熵的压缩特性，讨论了原子初态和失谐量对场熵压缩特性的影响。     

用自适应伪并行遗传算法求解双准则三维运输问题

采用并行计算的思想,在单台计算机上应用自适应的伪并行遗传算法,求解了双准则三维运输问题,最后通过实验验证该方法可产生适合需求的解,同时体现了该算法有较快的收敛速度.     

PRICING EUROPEAN OPTION IN A DOUBLE EXPONENTIAL JUMP-DIFFUSION MODEL WITH TWO MARKET STRUCTURE RISKS AND ITS COMPARISONS

Using Fourier inversion transform, P.D.E. and Feynman-Kac formula, the closedform solution for price on European call option is given in a double exponential jump-diffusion model with two different market structure risks that there exist CIR stochastic volatility of stock return and Vasicek or CIR stochastic interest rate in the market. In the end, the result of the model in the paper is compared with those in other models, including BS model with numerical experiment. These results show that the double exponential jump-diffusion model with CIR-market structure risks is suitable for modelling the real-market changes and very useful.     

加速器质谱技术及其在测定36Cl中的应用

 加速器质谱技术（AMS）又称超灵敏质谱技术,是在80年代发展起来的一种超微量核分析方法。它对有些同位素分析的丰度灵敏度达到10（-16）,或者说可探测到10⁴个原子,比普通质谱计的灵敏度高出8-9个数量级。     

利用双参变形自旋相干态计算量子代数SU(2)q,s的Clebsch-Gordan系数

利用量子代数SU(2)_q,s的双参数变形自旋相干态,通过引入量子代数SU(2)_q,s的不可约表示张量积空间的Bargmann表示,导出了这一表示中不可约表示基底、双参数变形自旋相干态以及算符的表达式.最后导出了量子代数SU(2)_q,s在双参数变形自旋相干态下的Clebsch－Gordan系数.     

直线加速器中双向高斯密度分布电荷束团发射度增长的比率关系

采用直线加速器中的空间电荷束团的有限圆柱模型,并假设该有限圆柱体电荷密度分布在横向r和纵向z都满足高期分布,推导得到了该电荷束团的自场能与发射度增长公式;通过数值模拟计算,给出了束流发射度增长随束团参数和加速器系统参数变化的图表曲线,讨论了该双向高期密度分布电荷束团发射度增长的比率关系.     

Spatial Interference Effect of Two—Photon in Femtosecond—Pules Pumped Spontaneous Parametric Down—Conversion

We have used the transverse correlated properties of the entangled photon pairs generated in the process of spontaneous parametric down-conversion,which is pumped by a femtosecond pulse laser,to perform Young‘s interference experiment.Unlike the case of a continuous wave laser pump,a broadband pulse laser pump can submerge an interference pattern.In order to obtain a high visibility interference pattern,we used a lens with a tunable focal length and two interference filters to eliminate the effects of the broadband pump laser.It is proven that the process of two-photon direct interference is a post-selection process.     

有机物在水/双阳离子有机膨润土界面的吸附贡献率研究

在长、短碳链表面活性剂总量恒定条件下制备了一系列双阳离子有机膨润土，研究了其对水中苯胺，对硝基苯酚2，4－二氯酚的吸附行为，结果表明双阳离子有机膨润土对有机物的分配系数（Kd）与有机碳含量（f∝)、辛醇－水分配系数（lgKow)成线性正相关，与溶解度（lgS)成线性负相关，通过数学模拟，首次描述了表面吸附和分配作用两种吸附机制的相对贡献率和改性表面活性剂配比的关系；结果表明双阳离子有机膨润土对水中有机物两种吸附机制的主导地位与有机物本身性质有关，其主导作用发生变化的拐点与长碳链表面活性剂所占比重相关。