亚稳态氦原子束在激光驻波场中聚焦的衍射像差研究

用量子力学方法研究了一维激光驻波场对亚稳态氮原子束聚焦的衍射像差。建立了半经典模型，该模型在一定条件下和已有模型一致，提出了直接计算时间演化算符的数值方法，这种计算方法速度较快，收敛性较好，数值模拟结果表明在一定的激光强度和光束半径等参量下，亚稳态氮原子束被聚焦，焦点的半峰全宽为54nm，对比度16：1，焦长、焦深与入射原子束的速度有关，从而与动能有关，焦点的有限宽度主要是来自衍射效应的影响。     

Functional limit theorems for renewal shot noise processes with increasing response functions

We consider renewal shot noise processes with response functions which are eventually nondecreasing and regularly varying at infinity. We prove weak convergence of renewal shot noise processes, properly normalized and centered, in the space D[0,∞)$D[0,\infty )$ under the _J1$J_1$ or _M1$M_1$ topology. The limiting processes are either spectrally nonpositive stable Lévy processes, including the Brownian motion, or inverse stable subordinators (when the response function is slowly varying), or fractionally integrated stable processes or fractionally integrated inverse stable subordinators (when the index of regular variation is positive). The proof exploits fine properties of renewal processes, distributional properties of stable Lévy processes and the continuous mapping theorem.     

对“原地背向‘旋展式’推铅球技术介绍”的再研究

以多年的铅球教学与训练经验为基础,对原地立定推铅球、侧向滑步推铅球、背向滑步推铅球以及旋转式推铅球的技术动作结构掌握较好.对各种推铅球方式都作过比较研究,特别对原地背向‘旋展式’推铅球技术动作结构进行了再研究,得出其存在着用力不充分、发力难及缩短了最后用力的有效工作距离等问题,旨为了提高铅球的训练效果,建议考生采用普通式原地推铅球较有利于提高成绩.     

室内木制品用空心刨花板吸声性能的研究

采用驻波法测试了挤压法生产的空心刨花板与平压法生产的实心刨花板在不同试验条件下的吸声系数,并探讨了材料结构、孔隙率、表面处理等因素对吸声性能的影响。结果表明:挤压法生产的空心刨花板比平压法生产的实心刨花板吸声性能好。挤压法生产的空心刨花板的平均降噪系数为0.30,是平压法生产的实心刨花板的2倍,其平均吸声系数大于0.2,是理想的吸声材料。空心刨花板孔道的吸声系数纵向排列时要比横向排列时高。采用表面砂光方法对提高两种板材的吸声系数都有一定的效果,其中平压法生产的实心刨花板更明显。     

具次临界扰动项的非线性Hartree方程驻波的存在性

研究了一类具次临界扰动项的非线性Hartree方程驻波解的存在性.根据2个非线性项的特征,分2类情形建立相应的约束变分问题,得到了该类Hartree方程在2种情形下驻波的存在性.     

Theory of the shot noise in electrochemical bridge contacts

Correlation functions of the current and the noise power for a redox-group-containing electrochemical tunnel contact are calculated under the assumption on a shot character of the electron tunneling. Weak and strong interaction between the redox group and electrodes is considered. Overvoltage dependence of the Fano factor at different bias-potentials is found. The conditions of passing of the calculated dependences into the Schottky law are formulated.     

新激光驻波势中两分量BEC的非定态精确解

探索了新激光驻波势中两分量波色-爱因斯坦凝聚(BEC)的非定态精确解,并对原子相互作用强度α12≠α11≠α22和α12=α11=α22=α这2种情况都作了讨论.发现对于原子相互作用强度α12≠α11≠α22,这2个分量的波函数是相似的,且2个分量在单个空间周期的粒子数要满足一定关系,而对于α12=α11=α22=α,这2个分量的波函数可能不同,且粒子数间没有限制关系.     

论模糊数学评分法在背向滑步推铅球技评中的应用

采用模糊数学理论及定量化处理方法,对推铅球教学技评进行优化组合,客观评价学生的成绩。通过对实验班学生的技评成绩进行相关系数显著性检验,发现两者之间存在着高度相关。实验表明,模糊数学评分法符合体育教学评分规律,具客观评价体育成绩的实用价值。     

Lagrangian motion of fluid particles in gravity–capillary standing waves

A third-order analytical solution for the gravity–capillary standing wave is derived in Lagrangian coordinates through the Lindstedt–Poincare perturbation method. By numerical computation, the dynamical properties of nonlinear standing waves with surface tension in finite water depth, including particle trajectory and surface profile are investigated. We find that the presence of surface tension leads to a change of the crest form. Moreover, we also find that the particle trajectories near the surface oscillate back and forth along the arcs which will change from concave to convex as the inverse Bond number increases. There is no mass transport of the particles in a wave period.