多圆柱上μ-Bloch空间之间的点乘子

设μ和ν是[0,1]上的正规函数,刻画了C~n中以多圆柱D~n为支撑集的广义Bloch型空间β_μ到β_ν之间的点乘子.     

导化积合与幂弦指数分布:金融危机后的经济行为

运用导化积合方法,构造出一类随机变量的分布:ω-幂弦指数分布.此分布具有周期性衰减震荡特征,可以很好地描述金融危机发生时,政府主动调整后的经济运行规律,也可以作为地震余震的数学模型.     

配合物[Ni(phen)3][(C6H5)2C(OH)COO]2·6H2O的合成、晶体结构及电化学性质

The title complex with benzilic acid and 1,10-phenanthroline monohydrate has been synthesized and characterized in the solvent mixture of water and methyl-alcohol. It falls into the triclinic, characteristic of the space group P1 with a=1.142 8(3) nm, b=1.638 8(4) nm, c=1.645 6(4) nm, α=74.428(5)°, β=84.205(5)°, γ=74.917(5)°, V=2.864 9(12) nm³, D_c=1.347 g·cm^-3. Z=2, F(000)=1 216, the reliability factor R₁=0.068 9, wR₂=0.189 9. The crystal structure shows that the nickel atom is coordinated with six nitrogen atoms from the three phens, forming a distorted octahedral coordination geometry. The cyclic voltametric behavior of the complex is also reported. CCDC: 274184.     

FTIR监测7-氟-2H-1,4-苯并噁嗪-3(4H)-酮的固相合成

我们已经合成了一系列具有生物活性的杂环取代苯并噁嗪酮类化合物, 为了构建一个苯并噁嗪酮类化合物的组合物库, 我们又探索出了一种固相合成7-氟-2H-1,4-苯并噁嗪-3(4H)-酮的方法, 并用FTIR技术成功地监测、优化了整个反应过程, 并根据得到的红外光谱图对反应动力学进行了探讨.     

一维链状三(邻氟苄基)锡二茂铁甲酸酯的合成、结构和量子化学研究

二茂铁甲酸与μ-氧-双[三(邻氟苄基)锡]反应合成了一维链状三(邻氟苄基)锡二茂铁甲酸酯,经X射线衍射方法测定了化合物的晶体结构。化合物晶体属单斜晶系,空间群为P2₁/n,晶体学参数：a=1.592 4(6) nm,b=1.013 4(4) nm,c=1.748 2(7) nm,β=91.920(7)°,V=2.819 4(19) nm³,Z=4,D_c=1.590 g·cm^-3,μ(Mo Kα)=14.48 cm^-1,F(000)=1 352,R₁=0.041 8,wR₂=0.078 5;锡原子呈五配位为畸变三角双锥构型,通过二茂铁甲酸羧基桥联形成一维链状结构。对其单元结构进行量子化学从头计算,探讨了化合物的稳定性、分子轨道能量以及一些前沿分子轨道的组成特征。     

SPACE-TIME FINITE ELEMENT METHOD FOR SCHRODINGER EQUATION AND ITS CONSERVATION

Energy conservation of nonlinear Schrodinger ordinary differential equation was proved through using continuous finite element methods of ordinary differential equation; Energy integration conservation was proved through using space-time continuous fully discrete finite element methods and the electron nearly conservation with higher order error was obtained through using time discontinuous only space continuous finite element methods of nonlinear Schrodinger partial equation. The numerical results are in accordance with the theory.     

三角形二次插值系数有限元法解半线性椭圆问题的超收敛性

基于均匀三角形的剖分求解一类二阶半线性椭圆问题,用插值系数有限元方法比经典有限元法更容易实现,与经典二次有限元一样,二次插值系数有限元方法在对称点处也有四阶超收敛精度,数值计算表明这些结论是正确的.     

Quantum entanglement and quantum nonlocality for N-photon entangled states

Quantum entanglement and quantum nonlocality of N-photon entangled states |psi_{N m}rangle=C_m[cosgamma|N-mrangle₁|mrangle₂ +e^{iθ_m}singamma|mrangle₁|N-mrangle₂] and their superpositions are studied. We point out that the relativephase θ_m affects the quantum nonlocality but not the quantumentanglement for the state |psi_{N m}rangle. We show thatquantum nonlocality can be controlled and manipulated by adjustingthe state parameters of |psi_{N m}rangle, superpositioncoefficients, and the azimuthal angles of the Bell operator. Wealso show that the violation of the Bell inequality can reach itsmaximal value under certain conditions. It is found that quantumsuperpositions based on |psi_{N m}rangle can increase theamount of entanglement, and give more ways to reach the maximalviolation of the Bell inequality.