从数字观点看光的本性

本文从统计数学和模糊数学两个领域对光的本性进行了定性定量的综合分析，从而说明光波是光子随机运动规律分布的几率波，光的波粒二象反映了光的模糊性。     

治疗癌症的重粒子加速装置

重粒子是指1个原子核或者几个的介子,同电子、中子和质子相比,质量更大,所以称为重粒子,也叫作重子。所使用的重粒子是氦、碳、氖、硅和氩等已被离子化的原子核。 灭癌是人类的宏愿,过去在寻找治病的方法中,除了早期切除和服抗癌药物之外,还研究了BRM(生物反应修改)、温热疗法、X射线—γ射线辐照等     

掺杂离子导体的粒子交叠广义晶格模型及其电导的粒子尺度效应

提出了一种掺杂离子导体（ＤＩＣ）的粒子交叠广义晶格模型，由此模型，推导随机－电阻－网络（ＲＲＮ）理论中３种导电键各自组分的几率，并采用有效介质近似（ＥＭＡ）计算了ＤＩＣ系统的电导及其粒子尺度效应。     

Mn_2O_3超微粒子的制备及其光学非线性

本文合成了表面修饰的Mn2O3，超微粒子（UFP）有机溶胶，并采用简并的四波混频（DFWM）手段研究了Mn2O3有机溶胶的三阶非线性光学特性，得到了较大的非线性极化率X3．最后讨论了Mn2O3超微粒子的三阶非线性产生机制．     

一种改进的计算探测器校正因子的相关抽样方法

对于小尺寸探测器处于大块介质的情形, 在探测器的校正因子的Monte Carlo模拟中, 存在两个难题: 一是由于探测器尺寸很小粒子难以到达探测器并发生碰撞; 二是两个随机变量比值难以达到要求精度. 本文使用经过改进的粒子碰撞自动重要抽样方法, 再结合相关抽样方法, 解决了这两个难题, 并在MCNP-4C程序平台上加以实现. 除了粒子碰撞自动重要抽样以外, 还选用了其他3种方法: 直接模拟、区域分裂、强迫碰撞+Dxtran球分别与相关抽样方法结合, 对一个简化的探测器校正因子计算模型进行了计算. 实际计算结果表明, 相关抽样方法无论与哪种方法结合, 都起到了提高相关量计算效率的作用; 而它与粒子碰撞自动重要抽样结合, 比其他方法具有明显的优越性.     

QUATERNION GENERALIZED SINGULAR VALUE DECOMPOSITION AND ITS APPLICATIONS

This paper derives a theorem of generalized singular value decomposition of quaternion matrices （QGSVD）,studies the solution of general quaternion matrix equation AXB -CYD= E,and obtains quaternionic Roth＇s theorem. This paper also suggests sufficient and necessary conditions for the existence and uniqueness of solutions and explicit forms of the solutions of the equation.     

准粒子注入下超导膜能隙变化的一些计算

利用 Schn-Tremblay 理论计算了 Pb、Sn 超导薄膜在注入准粒子且注入电压很小(ev<2△(?))时的能隙微小增加的效应.同时,把此理论扩展到 ev>>2△_i 的大电压情况,计算出能隙明显减小及超导-正常混合态的结果.     

Hydrostatic settling velocity of sediments

The settling of sediments is an accelerative process in which the concentration of the main sediments zone will heavily influence settling velocity, but the explicit relationship between the concentration and settling velocity has not been reported in literature. Here a theoretical function was built for the time dependent concentration and time dependent settling velocity of sediments ; then the entire settling process reflecting concentration was shown on the basis of sediments instant-settlement theory and mathematical method. Agreement of computed results and experimental data was found. Several governing parameters, including particle size,particle density,inltial suspended sediments concentration and suspension height, were discussed with a series of calculated velocity curves. The research indicated that (1) the presented concentration-velocity time relationship is rational, (2) settling process of the sediments group with variation of concentration consists of acceleration stage, uniform motion stage and deceleration stage, and (3) particle size, particle density and initial suspended sediments concentration have more influence on the settling velocity than the suspension height and water temperature.     

广义Morrey空间中奇异积分算子和极大算子的加权不等式

证明了广义极大算子和奇异积分算子在广义Merrey空间中的加权不等式，并且还得到了极大算子无权不等式的特征。