关于薛定谔算子的极点散射: 基于狄利克雷级数的视角

本文讨论了在实轴上具有紧支集的势的薛定谔算子的极点散射问题. 本文旨在将狄利克雷级数理论与散射理论相结合, 文中运用了Littlewood的经典方法得到关于极点个数的新的估计. 本文首次将狄利克雷级数方法用于极点估计, 由此得到了极点个数的上界与下界, 这些结果改进和推广了该论题的一些相关结论.     

黑龙江省的界河坍塌地质灾害及其防治对策

界河坍塌是黑龙江省特殊的、主要的地质灾害,也是当前亟待解决的问题。本文总结了黑龙江省的两条主要界河—黑龙江和乌苏里江的塌岸状况;说明了界河坍塌的分布规律;论证了界河坍塌的形态类型;探讨了界河坍塌的形成机制;分析了界河坍塌的原因;最后提出了防止界河坍塌的一系列对策。     

氦原子与一氧化碳分子各向异性势的计算研究

本文用高精度的量子力学ab initio方法计算了氦原子与一氧化碳分子相互作用各向异性势能面，通过三重激发校正耦合簇、二次组态相互作用等方法和不同基组的计算结果比较，并采用BSSE方法消除了基组重叠误差，得到了氦原子与一氧化碳分子体系相互作用各向异性势，然后采用精确度较高的密耦（Close-Coupling）近似方法，研究了氦原子与一氧化碳分子碰撞的散射截面，通过计算得出了该体系碰撞激发微分截面和分波截面，计算得到的微分截面数据与实验值符合较好，说明本文得到的势能面是准确的.     

The structure and the potential energy function of AlSO(C_S,X~2A″)

By using the B3P86/aug-cc-pvtz method,the accurate equilibrium geometry of the AlSO(CS,X2A″) molecule has been calculated and compared with available theoretical values.The obtained results show that the AlSO molecule has a most stable structure with bond lengths of R OAl = 0.1864 nm,R OS = 0.1623 nm,R AlS = 0.2450 nm,together with a dissociation energy of 13.88 eV.The possible electronic states and their reasonable dissociation limits for the ground state of the AlSO molecule were determined based on the principle of atomic and molecular reaction statics.The analytic potential energy function of the AlSO molecule was derived by the many-body expansion theory and the contour lines were constructed for the first time,which show the internal information of the AlSO molecule,including the equilibrium structure and stable point.The analysis demonstrates that the obtained potential energy function of AlSO is reasonable and successful and the present investigations provide important insights for further study on molecular reaction dynamics.     

Be-composition effect on structure, electronic and optical properties of BexZn1-xO alloys

This paper carries out first principles calculation of the structure,electronic and optical properties of Be x Zn 1 x O alloys based on the density-functional theory for the compositions x = 0.0,0.25,0.5,0.75,1.0.The lattice constants deviations of alloys obey Vegard’s law well.The Be x Zn 1 x O alloys have the direct band gap(Γ-Γ) character,and the bowing coefficients are less than the available theoretical values.Moreover,it investigates in detail the optical properties(dielectric functions,absorption spectrum and refractive index) of these ternary mixed crystals.The obtained results agree well with the available theoretical and experimental values.     

Spectroscopic investigations on NO+(x1∑+,a3∑+,A1Ⅱ) ion using multi-reference configuration interaction method and correlation-consistent sextuple b

Three low-lying electronic states (x¹∑⁺,a³∑⁺,and A¹Ⅱ) of NO⁺ ion are studied using the complete active space self-consistent-field (CASSCF) method followed by highly accurate valence internally contracted multi-reference configuration interaction (MRCI) approach in combination of the correlation-consistent sextuple basis set augmented with diffuse functions, aug-cc-pV6Z. The potential energy curves (PECs) of the NO⁺(x¹∑⁺,a³∑⁺,A¹Ⅱ) are calculated. Based on the PECs, the spectroscopic parameters R_e, D_e, ω_e, ω_eχ_e, α _e, B_e, and D₀ are reproduced, which are in excellent agreement with the available measurements. By numerically solving the radial Schrödinger equation of nuclear motion using the Numerov method, the first 20 vibrational levels, inertial rotation and centrifugal distortion constants of NO⁺(x¹∑⁺,a³∑⁺,A¹Ⅱ) ion are derived when the rotational quantum number J is equal to zero (J = 0) for the first time, which accord well with the available measurements. Finally, the analytical potential energy functions of these states are fitted, which are used to accurately derive the first 20 classical turning points when J = 0. These results are compared in detail with those of previous investigations reported in the literature.     

慢电子—原子碰撞研究

本文回顾了原子碰撞方面的研究工作,评述了近年来这一领域中的若干进展。目前原子碰撞的研究成果已被广泛应用到化学动力学、气体激光器、激光同位素分离、重离子加速器等方面。本文讨论了慢电子被原子散射的物理模型。考虑到在入射电子作用下靶原子的极化效应,入射电子与靶原子的电子间的交换作用和入射电子波的畸变,得到了入射电子与靶原子相互作用的解析势能函数,并讨论了氦、氩、锂、钠等原子对慢电子散射的最近研究成果。     

不同能量下He原子与HCl分子碰撞激发分波截面的同位素效应研究

基于Huxley势函数的拟合势,通过精确度较高的密耦近似方法计算了入射能量为50meV和150meV时,氦原子的四种同位素3He,4He,9He,10He与HCl分子碰撞体系的激发分波截面.通过分析不同能量下,各碰撞体系分波截面的差异,探讨了不同入射能量时He的同位素对He-HCl碰撞体系的分波截面的影响,总结出其分波截面随量子数和体系约化质量的变化规律.     

He-H2(D2,T2)碰撞体系振转相互作用势及分波截面的理论计算

采用超分子单双迭代(包括非迭代三重激发)耦合簇理论CCSD(T)方法,选择由原子中心高斯函数和高斯键函数3s3p2d1f组成的大基组,计算了He-H₂(D₂,T₂)碰撞体系的H₂分子取不同键长时的相互作用势能面.运用Tang-Toennies势模型和非线性最小二乘法拟合构造了He与同位素分子H₂(D₂,T₂)在质心坐标系下的振转相互作用势.通过密耦计算得 关键词： 高斯键函数 Tang-Toennies势函数 分波截面 碰撞参数     

Ne同位素替代下Ne-HF碰撞截面的理论计算

采用Huxley势函数拟合QCISD(T)/ aug-cc-pVTZ计算的相互作用势能面,通过精确度较高的密耦近似方法计算了E=100 meV时,氖原子的三种同位素 ¹⁶Ne, ²⁰Ne, ³⁴Ne与HF分子碰撞系统的微分截面和分波截面.探讨了Ne的同位素替代引起的Ne-HF碰撞激发 截面的变化规律.