单参考态微扰理论发散问题的理论研究

本文对闭壳层和开壳层分子系统由于加入弥散函数导致的单参考态微扰理论的发散问题进行了深入的研究. 发现对开壳层系统，微扰能量的振幅随体系自旋多重度的增加而增加. 本文利用Feenberg变换来处理微扰理论的发散问题. 通过调节Feenberg 变换的参数λ来加速微扰序列的收敛性. 数值计算表明，存在一个λ值，微扰序列收敛最快. 还发现该λ值随着自旋多重度增加而增加.     

Solvable <Emphasis Type="Italic">D</Emphasis><Subscript>2</Subscript>-groups

Let G be a finite group, Irr¹(G) be the set of nonlinear irreducible characters of G and cd¹(G) the set of degrees of the characters in Irr¹(G). A group G is said to be a D₂-group if|cd¹(G)|=|Irr¹(G)|-2. In this paper, we give a complete classification of solvable D₂-groups.     

Periodic vibro-impacts and their stability of a dual component system

The coexisting periodic impacting motions and their multiplicity of a kind of dual component systems under harmonic excitation are analytically derived. The stability condition of a periodic impacting motion is given by analyzing the propagation of small, arbitrary perturbation from that motion. In numerical simulations, the periodic impacting motions are classified according to the system states before and after an impact. The numerical results show that there exist many types of vibro-impacts and the bifurcation of periodic vibro-impacts is not smooth. Project supported in part by National Natural Science Foundation of China under the grant 59572024 and in part by Trans-century Training Program Foundation for the Talents by the State Education Commission of China     

The multiplicity of abelian covers of splice quotient singularities

From a resolution graph with certain conditions, Neumann and Wahl constructed an equisingular family of surface singularities called splice quotients. For this class some fundamental analytic invariants have been computed from their resolution graph. In this paper we give a method to compute the multiplicity of an abelian covering of a splice quotient from its resolution graph and the Galois group.     

钴(Ⅱ)盐鉴别可溶性碳酸盐溶液实验的设计与研究*

为拓展钴(Ⅱ)盐的用途,利用钴(Ⅱ)盐在碱液中的多样性和可溶性碳酸盐溶液组分含量的差异性,采用分别向2种无色可溶性碳酸盐溶液中滴加钴盐溶液的措施,建立了钴(Ⅱ)盐鉴别碳酸钠溶液和碳酸氢钠溶液的有效方法。实验结果表明,反应后碳酸钠溶液呈清晰的蓝色浑浊或沉淀,而碳酸氢钠溶液则呈清晰的紫红色浑浊或沉淀。该方法现象明显、安全可靠、重现性好、成功率高、适用性强、应用面广,可应用于食品、药品检测,食品质量与安全,医药健康,化学化工等技术领域,也可用作课堂演示实验。     

Detection efficiency and range measurements of alphas and protons in cellulose nitrate

The range, detection efficiency and etching development of alpha tracks were studied in cellulose nitrate. Some other track revelation techniques employing the swelling of latent alpha and proton tracks are discussed.     

每个忙期中第一个顾客被拒绝服务的M／M/1排队模型的其他特征值

研究每个忙期中第一个顾客被拒绝服务的M／M／1排队模型的主算子在左半复平面中的特征值,证明对一切θ∈（0,1）,（2√λμ-λ—μ）θ是该主算子的几何重数为1的特征值．     

M/M/1算子的其它特征值

证明对一切θ∈（0,1）,θ（2（λμ）~（1/2）-λ-μ）都是偏微分方程形式的M/M/1排队模型主算子的几何重数为1的特征值.     

NONDEGENERACY OF POSITIVE SOLUTIONS TO HOMOGENEOUS SECOND-ORDER DIFFERENTIAL SYSTEMS AND ITS APPLICATIONS

This article considers the Dirichlet problem of homogeneous and inhomogeneous second-order ordinary differential systems. A nondegeneracy result is proven for positive solutions of homogeneous systems. Sufficient and necessary conditions for the existence of multiple positive solutions for inhomogeneous systems are obtained by making use of the nondegeneracy and uniqueness results of homogeneous systems.