Wigner function for the Dirac oscillator in spinor space

The Wigner function for the Dirac oscillator in spinor space is studied in this paper.Firstly,since the Dirac equation is described as a matrix equation in phase space,it is necessary to define the Wigner function as a matrix function in spinor space.Secondly,the matrix form of the Wigner function is proven to support the Dirac equation.Thirdly,by solving the Dirac equation,energy levels and the Wigner function for the Dirac oscillator in spinor space are obtained.     

空间相机电控机箱的热设计及仿真分析

为了保证空间相机电控机箱在轨运行期间的工作温度满足使用要求,根据电控机箱的结构特点和导热路径,对电控机箱内部大功耗电子元器件进行了详细热控设计,解决了某些电子元器件发热量大、导热路径较长的问题。以某个典型元器件为例,进行了散热效果估算。最后应用有限元分析软件IDEAS-TMG建立了详细的电控机箱热分析有限元模型,根据电控机箱所处温度边界条件进行了稳态仿真分析,给出了电控机箱整体的热响应性能、印制线路板（PCB）及板上大功耗电子元器件的稳态温度分布云图,结果显示,PCB的温度为40.6～51.1℃,板上大功耗电子元器件的结温为46.3～62.5℃,均满足热控设计的指标要求。热分析结果表明电控机箱热设计合理可行,能够满足使用要求。     

碳纤维复合材料在航天领域的应用

综述了碳纤维复合材料的应用现状和发展前景。首先,概述了碳纤维的分类和力学性能以及碳纤维复合材料的特性;重点介绍了碳纤维复合材料在国内外航天领域,特别是在卫星结构、运载火箭、精密支撑构件以及空间镜体等方面的应用情况。指出了目前碳纤维复合材料的主要问题是湿热效应。最后,结合我国国情,对碳纤维复合材料需要解决的问题提出了一些建设性的措施。     

两指标B值强鞅空间的强原子分解

定义了两指标B值强鞅空间和强原子,利用Banach空间的光滑性建立了两指标B值强鞅空间s~∑α^p的强原子分解定理,应用强原子分解定理证明了一些两指标B值强鞅不等式.     

波矢空间中电磁场的几何相位

将电磁场作Fourier变换可把Maxwell方程组转写成为波矢空间中的Schrodinger型方程。然后采用Aharonov和Anandan关于态矢循环演变时相位变化的理论给出了波矢空间中电磁场的相位.其中包括几何相位。     

弹性半空间地基上圆形基础板的位移场和应力场

针对弹性半空间地基上圆形基础底板的弯曲问题,根据地基土壤的受力特性和已有实验研究成果,假设圆形基础底板底部与地基土壤之间是由竖向集中荷载引起的接触应力分布形式,采用板的弯曲理论和通过数值积分及最小二乘法拟合的方法,推导出完全满足边界条件的弹性半空间地基上圆形基础底板上部受集中力作用、下部受幂函数形式连续分布荷载作用时的位移场、径向和环向应力场的表达式。尽管圆形基础板属于中厚度板,但是该表达式的计算精度和可靠性得到了有限元分析软件ANSYS验证。     

Exploiting the diversity of time scales in the immune system: A B-cell antibody model

Using the continuous shape space formalism, we develop an immune system model involving both B lymphocytes and antibody molecules. The binding and cross-linking of receptors on B cells stimulates the cells to divide and, with a lag, to secrete antibody. Using the method of multiple scales, we show how to correctly formulate long-time-scale equations for the population dynamics of B cells, the total antibody concentration, and rate of antibody secretion. We compare our model with previous phenomenological formulations.     

Regularity and convergence of stochastic convolutions in duals of nuclear Fréchet spaces

Let Φ′ be the strong dual of a nuclear Fréchet space Φ. In this paper we present regularity properties, weak convergence, and convergence in probability and in mean square of Φ′-valued stochastic evolution equations and convolutions with respect to Φ′-valued cadlag martingales.     

On vector-valued random Fourier series

Consider a (complex) Banach spaceX, such thatX C_O, and vectors(X _i ) _i ofX. Consider an independent standard normal sequence(g _i ) _i . Then if anX-valued random Fourier series _{|k| n} e ^ikt g _k x _k satisfies

Iterated monoidal categories

We develop a notion of an n-fold monoidal category and show that it corresponds in a precise way to the notion of an n-fold loop space. Specifically, the group completion of the nerve of such a category is an n-fold loop space, and free n-fold monoidal categories give rise to a finite simplicial operad of the same homotopy type as the classical little cubes operad used to parametrize the higher H-space structure of an n-fold loop space. We also show directly that this operad has the same homotopy type as the n-th Smith filtration of the Barratt-Eccles operad and the n-th filtration of Berger's complete graph operad. Moreover, this operad contains an equivalent preoperad which gives rise to Milgram's small model for when n=2 and is very closely related to Milgram's model of for n>2.