Nd：YVO4晶体α向生长研究

采用固-液两相混合，使Nd2o3、Y2O3和V2O5在近常温条件下初步合成Nd：YVO4多晶原料，降低固相合成反应温度，减少V2O5在多晶原料制备过程中的挥发。讨论了α方向V单晶生长条件，采用提拉法，以(100)方向进行单晶生长，得到一系列掺杂浓度的Nd：YVO4单晶。     

不同测验模型的信度估计及统计性质

在教育与心理测验中，信度是衡量测验是否可靠的重要指标。本文在不同模型下考虑测验的信度估计及其统计性质。在正态模型下，给出信度的无偏估计，在二项模型下，给出信度的相合估计；利用项目反应理论，给出测验信度的另一类估计；在组合测验模型下，给出迄今最接近信度真值的一个下界，同时给出相应的估计公式。     

当△=AC—B^2=0时,对二元函数极值的探讨

设二元函数f(x,y)有稳定点P(x_0,y_0),并设f_(xx)(x_0,y_0)=A,f″_(xy)(x_0,y_0)=B,f″_(yy)(x_0,y_0)=C,△=AC-B~。当△=AC-B~2=0时,f(x,y)在点P(x_0,y_0)处是否有极值的问题,一般教科书都未进行过具体地讨论,本文对这一问题进行了初步地探     

关于局部对称空间中2-调和子流形

本文研究局部对称完备黎曼流形中的紧致2－调和子流形，得到了这类流形第二基本模式长平方的Pinching定理及推广的J．Simons型积分不等式。     

Exciton—Phonon Scattering in CdSe／ZnSe Quantum Dots

A temperature-dependent photoluminescence measurement is performed in CdSe/ZnSe quantum dots with a ZnCdSe quantum well.We deduce the temperature dependence of the exciton linewidth and peak energy of the zero-dimensional exciton in the quantum dots and two-dimensional exciton in the CdSe wetting layer.The experimental data reveal a reduction of homogeneous broadening of the exciton line in the quantum dots in comparison with that in the two-dimensional wetting layer,which indicates the decrease of exciton and optical phonon coupling in the CdSe quantum dots.     

Exact Solution of an Extended Hubbard Model with Electron—Lattice Interaction for an Organic Ferromagnetic Polymer

Using an exact diagonalization method,we study an extended Hubbard model with an electron-lattice interaction for an organic ferromagnetic chain with radical coupling.The result shows that the ferromagnetic ground state originates from the antiferromagnetic correlation between adjoining sites,which is enhanced by the on-site e-e repulsion.The intersite e-e repulsion induces the inhomogeneous distribution of the charge density.The dimerization is decreased by the e-e interaction and the radical coupling.The electron-lattice interaction and the radical coupling can transfer the spin density and charge density between the main chain and the radicals.     

基于二次插值的非饱和土壤水流问题的特征差分方法及数值模拟

本文针对一类非饱和土壤水流问题,提出了基于二次插值的特征差分格式,得到了严谨的L2模误差估计.并作了数值试验,指明方法的有效性.     

Segal－Bargmann－Hall Transform and Geometric Quantization

Using geometric methods, Hall has proved that the Segal-Bargmann transform for a con-nected Lie group K of compact type is an isometric isomorphism [H1] and is unique when Kis simply connected [H7]. Furthermore, Hall considered geometric quantization of T~*(K), K'scotangent bundle [H9]. Using the vertical polarization and a natural Khler polarization obtainedby identifying T~*(K) with the complexified group KC, Hall concluded that the pairing map be-tween the two Hilbert Spaces induced by these two polarizations coincides with the generalizedSegal-Bargmann transform C_t (up to constant).