Inverse scattering method and soliton solutionfamily for the Einstein--Maxwell theory with multiple Abelian gauge fields

A Hauser-Ernst-type extended hyperbolic complex linear system given in our previous paper [Gao Y J 2004 Chin. Phys. 13 602] is slightly modified and used to develop a new inverse scattering method for the stationary axisymmetric Einstein-Maxwell theory with multiple Abelian gauge fields. The reduction procedures in this inverse scattering method are found to be fairly simple, which makes the inverse scattering method be fine and effective in practical application. As an example, a concrete family of soliton solutions for the considered theory is obtained.     

SU（2）格点规范理论的Manton作用量的改进变分法研究

本文用改进变分法对SU(2)格点规范理论的Manton作用量进行了研究。结果发现,精确到三级贡献的平均元格内能曲线与Monte Carlo数据符合得较好,从进一步求出的比热曲线中,能得出较准确的比热峰值(9c)。     

用CTOD描述高应变区疲劳裂纹扩展速率

本文针对压力容器接管部位高应变区的特点,试用一种双面开键形槽的三点弯曲试件模拟其特征,其中以弹塑性断裂参量CTOD(δ)作为控制该区内裂纹疲劳扩展的主要参量,并采用双引伸计法动态测量CTOD.试验结果表明:在循环载荷作用下,高应变区在亚临界裂纹扩展范围内,疲劳裂纹扩展速率(da)/(dN)在双对数坐标上与裂纹尖端的张开位移△CTOD(△δ)呈线性关系:△CTOD可以作为控制高应变区应力循环和应变循环条件下,疲劳裂纹扩展速率的力学参量,且与(da)/(dN)呈Paris定律的形式.     

有挠引力理论对SN1987A中微子两次信号的解释

用有挠引力理论的粒子运动方程探讨了ＳＮ１９８７Ａ中微子的运动，得出中微子可沿两条路径经历不同的时间到达地球的结论，对所观察到的中微子两次信号作出了比较合理的解释。     

介子衰变常数的格点计算

本文用格点色动力学的强耦合展开方法和pade′近似,计算π和ρ介子衰变常数比f_πm_ρ/f_ρ,得到与实验相近的结果.     

Kaup-Newell系统与AKNS系统的联系以及Kaup-Newell系统Darboux变换(英文)

本文考虑了Kaup-Newell特征值问题及AKNS特征值问题以及与这两特征值问题相联系的非线性演化方程。利用规范变换,我们得到了与Kaup-Newell特征值问题相联系的一族非线性演化方程和与AKNS特征值问题相联系的一族非线性演化方程之间的一个对应关系,并给出了Kaup-Newell系统的Darboux变换及其证明。     

Classification of Gauge Orbit Types for SU(n)-Gauge Theories

A method for determining the orbit types of the action of the group of gauge transformations on the space of connections for gauge theories with gauge group SU(n) in spacetime dimension d4 is presented. The method is based on the one-to-one correspondence between orbit types and holonomy-induced reductions of the underlying principal SU(n)-bundle. It is shown that the orbit types are labelled by certain cohomology elements of spacetime satisfying two relations. Thus, for every principal SU(n)-bundle the corresponding stratification of the gauge orbit space can be explicitly determined. As an application, a criterion characterizing kinematical nodes for physical states in Yang–Mills theory with the Chern–Simons term proposed by Asorey et al. is discussed.     

足底压力分布测量系统的设计

选取10个足底区域作为测量位置，设计了一种压力测量鞋垫，研制出一套成本低，操作简单，用于足底压力分布测量的系统．     

唐钢1 650 mm可逆冷轧机厚度闭环AGC控制系统

由于变刚度压力厚度自动控制系统（BISRA AGC）对于轧机内部干扰引起的带钢厚度偏差不仅不能消除,而且还对其有放大作用,因此唐钢冷轧薄板厂1650mm可逆式冷轧机采用了以BISRA AGC为主、测厚仪反馈为辅的厚度闭环AGC控制系统,研究了厚度闭环AGC系统的主要问题——调节器参数的自适应控制.结果表明控制效果良好,产品厚度偏差控制在±5μm以内.