Normal dilatation of triangular matrices

LetR be a (real or complex) triangular matrix of ordern, say, an upper triangular matrix. Is it true that there exists a normaln×n matrixA whose upper triangle coincides with the upper triangle ofR? The answer to this question is “yes” and is obvious in the following cases: (1)R is real; (2)R is a complex matrix with a real or a pure imaginary main diagonal, and moreover, all the diagonal entries ofR belong to a straight line. The answer is also in the affirmative (although it is not so obvious) for any matrixR of order 2. However, even forn=3 this problem remains unsolved. In this paper it is shown that the answer is in the affirmative also for 3×3 matrices.     

多个CCD交汇测量系统的理论研究

本文介绍了采用多个线阵ＣＣＤ 组成交汇测量系统的基本原理,导出了测量坐标的计算公式,并利用有关的误差理论对该方法的测量精度进行了详细分析。研究结果表明,多个ＣＣＤ 交汇测量系统能够得到较高的目标捕获几率,同时还能有效地提高坐标测量精度。对大靶面、高速小目标物体的精密测量具有重要意义     

Scalar Domination and Normal Fluctuations in N-Vector Quantum Anharmonic Crystals

A lattice model of N-dimensional quantum anharmonic oscillators with a polynomial anharmonicity and a ferroelectric pair interaction is considered. For arbitrary N , correlation inequalities, showing that the temperature Green functions of this model are dominated by the corresponding Green functions of the scalar (N=1) model, are proven. These inequalities are then used to prove that the fluctuations of displacements of particles remain normal at all temperatures provided the model parameters obey a certain condition. In particular this means that the smallest distance between the energy levels of the corresponding one-dimensional isolated oscillator should be large enough or its mass should be small enough.     

受激布里渊散射并行数值模拟研究

为了更深入地研究激光与等离子体相互作用中受激Brillouin散射不稳定性的物理机制,建立了受激Brillouin散射三波耦合数学模型,根据方程组的形式以及数学特征, 采用算子分裂方法,坐标平移,高效的并行傅里叶变换和归约密度等算法,编制模拟受激Brillouin散射不稳定性的并行程序,并用数值算例证明其有效性,最后采用近3亿固定网格规模,扩展到4096个核上测试并行性能,并行效率达到81.6%。     

基于多视场星敏感器的姿态确定方法

星敏感器是目前航天器姿态测量精度最高的器件,与传统的单视场星敏感器相比,多视场星敏感器可以实现三轴同样高精度的姿态测量,提高姿态测量精度。针对单视场星敏感器姿态确定问题,推导了以最小代价函数为指标的QUEST姿态确定算法。对于多视场星敏感器,通过坐标变换方法将多个视场的导航星矢量转换到同一视场中,再利用QUEST算法得到航天器姿态。最后仿真结果表明,坐标变换后进行姿态确定得到的姿态数据与单个视场所得的姿态数据相同,验证了方法的正确性。     

在非交错网格上求解非正交曲线坐标系下N-S方程

介绍一种在非交错网格上,求解非正交曲线坐标系下的流动控制方程的方法。为解决在三维非正交曲线坐标系下采用非交错网格时所遇到的压力波动问题,将一种网格界面速度插值方法进行推广,并导出了相应的计算公式。运用所建立的方法对90°方截面弯管流动问题进行了数值模拟。结果是令人满意的,从而表明计算方法及所开发程序的可靠性。     

Anharmonic dynamical behaviour in bcc zirconium

We present inelastic neutron scattering measurements of the low energy and strongly damped phonons in the high temperature bcc phase of zirconium. These phonons were investigated at different scattering vectors but equivalent phonon wave vectors in different Brillouin zones or along different but equivalent paths in the same Brillouin zone. Neither the observed differences in intensity nor in line shapes can be explained by the coherent one-phonon scattering law . This leads to an apparent violation of the fundamental symmetry of lattice dynamics. Taking into account the strong anharmonicity of these phonons, interferences between one- and multi-phonon scattering are held responsible for these effects. Measurements in different scattering planes reveal that due to the symmetry of the bcc lattice, these effects can only be observed in certain directions. Received: 24 December 1997 / Received in final form: 9 March 1998 / Accepted: 19 March 1998     

Cavitation in superfluid helium-4 at low temperature

We have studied the nucleation of bubbles in pure superfluid helium-4 at temperatures down to 65 mK. We have found that the nucleation is a stochastic process, and that at temperatures below 600 mK the nucleation rate is independent of temperature. These results are consistent with the assumption that the nucleation takes place via quantum tunneling. Received: 15 November 1997 / Received in final form: 19 December 1997 / Accepted: 22 January 1998     

Normal-state Nernst coefficient in YBa2Cu3 − xCoxOvwith different cobalt content

We report experimental data on the temperature and concentration dependences of the Nernst coefficient in the normal state for the YBa₂Cu_{3 − x}Co_xO_yceramic samples with increasing Co content up tox = 0.3. The Nernst coefficient is positive, and its value increases almost linearly withx. The temperature dependences ofQhave been analyzed on the basis of a narrow band model, together with data on other transport coefficients. Using a complex quantitative analysis of four transport coefficients, we were able to estimate the carrier mobility and to elucidate a character of the energy dependence of the relaxation time.     

参量放大器腔中光力诱导透明与本征模劈裂性质

研究了在含有光学参量放大器的光力学腔中关于弱探测光的光力诱导透明与本征模劈裂的性质.研究发现,光学参量放大器的驱动场相位和非线性增益值的大小对光力诱导透明窗口宽度和本征模劈裂性质有非常重要的影响,特别是当控制光频率工作在光力学红边带下,通过适当调制相位和非线性增益可以实现比空腔时(没有光学参量放大器时)还狭窄的光力诱导透明窗口,此时伴随着陡峭的色散曲线.这些研究结果有利于在光力耦合系统中实现快慢光、光存储等量子信息处理过程.