最高阶元素个数为40的非可解群的分类

设$\varphi$为群${\rm Aut}(N)$的同态,记$H_\varphi\times N$为群$N$借助于群$H$的半直积.设$G$为有限不可解群,本文证明: 若$G$中最高阶元素个数为40, 则$G$同构于下列群之一:(1)~$Z_{4\varphi}\times A_5$,\,${\rm ker}\varphi=Z_2$; (2)~$D_{8\varphi}\times A_5,\,{\rm ker}\varphi=Z_2\times Z_2$; (3)~$G/N=S_5$, $N=Z(G)=Z_2$; (4)~$G/N=S_5$, $N=Z_2\times Z_2,\,N\cap Z(G)=Z_2$.     

离散几何的两个铺砌问题

利用图论和代数的方法研究离散几何中的两个铺砌问题:1)给出1×2长方形铺砌多米诺骨牌的充分必要条件;2)对高维空间盒子的情形,给出m_1×m_2×…×m_n砖能够铺砌a_1×a_2×…×a_n盒子的一些必要条件和充要条件.     

The dynamical properties of Rydberg hydrogen atom near a metal surface

The dynamical properties of Rydberg hydrogen atom near a metal surface are presented by using the methods of phase space analysis and closed orbit theory. Transforming the coordinates of the Hamiltonian, we find that the phase space of the system is divided into vibrational and rotational region. Both the Poincaré surface of section and the closed orbit theory verify the same conclusion clearly. In this paper we choose the atomic principal quantum number asn=20. The dynamical character of the exited hydrogen atom depends sensitively on the atom-surface distanced. Whend is sufficiently large, the atom-surface potential can be expressed by the traditional van der Waals force and the system is integrable. Whend becomes smaller, there exists a critical valued _c. Ford>d _c, the system is near-integrable and the motion is regular. While chaotic motion appears ford<d _c, and the system tends to be non-integrable. The trajectories become unstable and the electron might be captured onto the metal surface.     

热致相分离法制备食道组织工程用支架的研究

合适的支架是进行组织工程研究必需的条件之一．运用自制的具有较好弹性的无规聚合物聚（L-乳酸-co-己内酯，PLLC），并采用热致相分离法（TIPS）制备了具有不对称孔径的食道组织工程用三维支架．经过对不同成孔条件（包括粗化温度、粗化时间以及聚合物溶液浓度等）的比较和研究，使此支架上表面具有孔径〈10μm，而本体具有50～100μm，甚至〉100gm的不对称多孔支架．并模拟正常食道粘膜层构造，将提取自猪食道的原代上皮细胞和成纤维细胞分别种植于此支架的二面，经HE常规染色，发现在体外培养时间（14d）内，在支架上表面已形成一连续层的上皮细胞层，某些部位甚至多于一层，这与正常食道的上皮细胞层相似．对于成纤维细胞而言，在与上皮细胞层同一视野内所见成纤维细胞较少，因为如果细胞生长在支架内部就很难用常规方法观察得到．但从这些结果可以看到用PLLC制备的多孔支架对细胞没有毒性，且具有一定的支持细胞生长的作用．     

13.5—14.6MeV能区中子引起的50Cr(n,2n)49Cr和52Cr(n,2n)51Cr核反应截面的测量

报告了在13.5-14.6MeV中子能区，用活化法(以93Nb(n，2n)92mNb反应截面为中子注量标准)测得的50Cr(n, 2n)49Cr和52Cr(n, 2n)51Cr的反应截面. 由能量为13.5±0.3 ,14.1±0.2,14.4±0.3 和14.6±0.3MeV的中子引起的50Cr(n, 2n)49Cr反应截面值分别为3.4±0.2,6.8±0.3,21.5±1.0 和25.0±1.2mb，52Cr(n, 2n)51Cr的反应截面值分别为185±10,193±9,258±13 和332±16mb. 单能中子用T(d,n)4He反应获得，其能量用铌锆截面比法测定. 另外，为避免热中子引发的50Cr(n, 2g)51Cr对52Cr(n, 2n)51Cr反应截面的影响，在样品被辐照过程中对样品进行了包镉处理，并将实验结果与尽可能收集到的其它实验数据进行了比较.     

Nitrogen dilution effect for small angle GDH experiment in JLab Hall-A

In the GDH sum rule measurement in JLab Hall-A,to obtain the cross section of electron scattering on polarized 3He and its asymmetry in different helicity states,the dilution effect from unpolarized nitrogen mixed in the polarized 3He target were calculated at different kinematic settings.     

Shape controlled interpolatory ternary subdivision

Ternary subdivision schemes compare favorably with their binary analogues because they are able to generate limit functions with the same (or higher) smoothness but smaller support.In this work we consider the two issues of local tension control and conics reproduction in univariate interpolating ternary refinements. We show that both these features can be included in a unique interpolating 4-point subdivision method by means of non-stationary insertion rules that do not affect the improved smoothness and locality of ternary schemes. This is realized by exploiting local shape parameters associated with the initial polyline edges.     

Very efficient two-photon induced photo-tautomerization in non-symmetrical phthalocyanines

In this work we demonstrate that non-symmetrically substituted phthalo-naphthalocyanine molecule can have extremely large 2PA cross section in near-resonance conditions of excitation. We also show the possibility to switch between its two tautomeric forms upon two-photon excitation at 77 K. By measuring 2PA cross section, quantum efficiency of transformation in these two forms, as well as quantum yield of fluorescence, we evaluate the figure of merit for fast re-writable 3D information storage and show that this figure meets the criteria of reliable and fast (one bit per one femtosecond pulse) 2PA writing or reading.     

弱场中Ba-Sr系统激光感生碰撞过程的理论研究

针对四能级理论模型的第二种极限情况 ,提出了 Ba- Sr激光感生碰撞能量转移系统 ,该系统满足 |ω2 1| |ω4 3|。利用四能级理论模型对该 Ba- Sr系统进行了数值计算 ,并与三能级近似理论模型的计算结果进行了比较。通过比较四能级理论与三能级近似理论模型的计算结果 ,进一步证实了当 |ω2 1| |ω4 3|时 ,四能级理论模型可以过渡为三能级理论模型     

Open dynamic behaviour of financial markets

Open dynamic behaviour of financial markets with internal interactions between agents and with external “fields” from other systems are investigated using the approach of Grossman and Stiglitz for inefficient markets, and Keynes for interference of the market using physics of finance (referred to hereafter as phynance). The simulation results indicate that the NYSE data analyzed in Plerou, V. et al., Nature 421, 130 (2003) can be fitted by an equation of order parameter Φ and local deviation R of type: -(R+0.03) Φ+ 0.6 Φ³ + 0.02 = 0, which is shown to be in remarkable agreement with Plerou's data.