The First Principle Formula of the Relativistic Heat Conductivity of Coulomb Electronic Plasmas

Making use of the relativistic BBGKY technique,the relativistic generalization of Landau collision integral is botained.Furthermore,we calculate the relativistic hydrodynamic modes up to the second order in the hydrodynamic wave number.Combining Resibois‘ method,we present the first principle formula of the relativistic heat conductivity of Coulumb electronic plasmas for low-order corrections.     

Effects of Arbitrarily Directed Field on Spin Phase Oscillations in Biaxial Molecular Magnets

Quantum phase interference and spin-parity effects are studied in biaxial molecular magnets in a magnetic field at an arbitrarily directed angle.The calculations of the ground-state tunnel splitting are performed on the basis of the instanton technique in the spin-coherent-state path-integral representation,and complemented by exactly numerical diagonalization.Both the Wentzel-Kramers-Brillouin exponent and the pre-exponential factor are obtained for the entire region of the direction of the field.Our results show that the tunnel splitting oscillates with the field for the small field angle,while for the large field angle the oscillation is completely suppressed.This distinct angular dependence,together with the dependence of the tunnel splitting on the field strength,provides an independent test for spin-parity effects in biaxial molexular magnets.The analytical results for the molecular Fes magnet are found to be in good agreement with the numerical simulations,which suggests that even the molecular magnet with total spin S=10 is large enough to be treated as a giant spin system.     

以新型分子距边矢量ν估计和预测烷烃核磁共振碳谱(13C NMR)化学位移和(CSS)

系统研究了核磁共振碳谱与化学位移和规律,以及分子拓扑指数在定量[结]构[波]谱关系（QSSR）中的应用.本文基于矢量路径长度矢量p=（P₁, P₂, P₃,…, P_m）与分子中原子相互作用,提出了一种新型分子距边矢量并发现它与烷烃¹³C NMR 化学位移和有良好线性相关性, 回归方程及其统计参数为:
CSS=bν+p₃=Σ^m_j=0b_jν_j+b₁₀p₃=b₀ν+b₁ν₁+b₂ν₂+b₃ν₃+b₄ν₄+b₅ν₅+b₆ν₆+b₇ν₇+b₈ν₈+b₉ν9_ν+b₁₀P₃ =-13.6011+22.2133 ν₁+28.4121 ν₂+25.9416 ν₃+26.6709 ν₄+14.4976 ν₅+5.7240 ν₆-5.3830 ν₇-3.2152 ν₈-15.0213 ν₉-25.7099 ν₁₀+12.2786P₃ (n=63, R=0.9970, EV=99.68%, RMS=3.7348, F=2418.2; 交互校验CV为: R=0.9893, EV=98.83%, RMS=7.1261, F=664.046); 结果良好.     

晶柱粘连对CsI:Na转换屏分辨特性的影响

本文用MonteCarlo方法研究了CsI:Na转换屏中晶柱之间的粘连对其空间分辨特性的影响,给出了不同粘连程度下可见光在转换屏中的点扩展函数及相应的MTF曲线.通过几种不同粘连系数下模拟结果的比较可见,要获得一个高分辨的转换屏应尽可能减小晶柱之间的粘连.对于一个实际的转换屏其粘连系数至少应在40%以下,最好控制在20%以内.     

^143Pm高自旋态研究

通过熔合蒸发反应^129Te(^19F,4nγ）布居了^143Pm的高自旋态,利用在束γ谱学方法,对^143Pm的高自旋态核结构进行了研究,测量了γ射线单谱和γ－γ符合谱,并进行了γ射线各向异性以及DCO比率分析,建立了激发高能达10535．4keV的能级纲图,其中包括新发现的32条γ射线和17个新能级,用弱耦合模型对^143Pm的晕态能级结构进行了解释。     

Fuzzy集的基数

关于Fuzzy集的基数，[1]中曾对有限支集的Fuzzy集以及极苛刻条件下的无限Fuzzy集给出过一种定义。但是，正如本文将要指出的那样，该定义是不合理的。本文将从研究Fuzzy映射入手，给出Fuzzy集基数的一般性定义。基于这一定义，不但得到有关基数的大部分结论，而且有其自身的特殊性。     

Banach空间中凸映照的增长定理

本文利用凸映照的几何特征证明了一般复Banach空间中单位球上正规化双全纯凸映照的增长定理，即||f(x)||≤||x||/(1-||x||),A↓x∈B，对复内积空间，上述估计是最佳的。     

假耧斗菜碱的二维核磁共振研究

利用1D和2D NMR及NOE差谱等方法研究了首次从自然界分离到的头对尾型BBI生物碱假耧斗菜碱(Paraquileginine)的化学位移及立体结构,对其:¹H和¹³C NMR谱线进行了全归属。本工作对研究毛莫科植物的化学分类及寻找新的有生物功能的天然药物具有参考价值。     

在几何和参数上表示同一条曲线的两条有理NURBS曲线的权与控制顶点之间的关系

The paper discusses the relationship between weights and control vertices of two rational NURBS curves of degree two or three with all weights larger than zero when they represent the same curve parametrically and geometrically, and gives sufficient and necessary conditions for coincidence of two rational NURBS curves in non-degeneracy case.     

Birkhoff系统的Poincare—Cartan积分不变量

基于现代微分几何学，分析了作为保守系统和非保守系统的推广－Birkhoff系统的辛结构。构造Birkhoff系统的Poincare-Cartan积分不变量。最后，将一维阻尼振动作为示例，求出其Poincare积分不变量。