Graphs with given number of cut vertices and extremal Merrifield-Simmons index

The Merrifield-Simmons index of a graph is defined as the total number of its independent sets, including the empty set. Denote by G(n,k) the set of connected graphs with n vertices and k cut vertices. In this paper, we characterize the graphs with the maximum and minimum Merrifield-Simmons index, respectively, among all graphs in G(n,k) for all possible k values.     

The equation-transform model for Dirac–Morse problem including Coulomb tensor interaction

The approximate solutions of Dirac equation with Morse potential in the presence of Coulomb-like tensor potential are obtained by using Laplace transform (LT) approach. The energy eigenvalue equation of the Dirac particles is found and some numerical results are obtained. By using convolution integral, the corresponding radial wave functions are presented in terms of confluent hypergeometric functions.     

鲱精DNA纤维水合状态的振动谱特征

利用拉曼散射光谱测试技术，对不同温度处理后获得的各种相对湿度下的鲱精ＤＮＡ纤维进行脱氧核苷Ｃ—Ｈ振动与结合水Ｏ—Ｈ振动行为分析，以揭示其中结合水的数量特征。结果表明，运用２５９２６×Ｉ２９６４／Ｉ３０２４新指标所获数据与文献报道的小牛胸腺ＤＮＡ水合状态拉曼数据不同，但与小牛胸腺ＤＮＡ、鲑精ＤＮＡ的红外、Ｘ射线衍射、重量分析及差示扫描量热分析所得数据相吻合，证明拉曼分析公式的修订是成功的。鲱精ＤＮＡ纤维应与上述二种ＤＮＡ纤维具有同样的水合状态，每核苷酸对含有９～１４个结合水分子。     

Static observables of relativistic three-fermion systems with instantaneous interactions

We show that static properties like the charge radius and the magnetic moment of relativistic three-fermion bound states with instantaneous interactions can be formulated as expectation values with respect to intrinsically defined wave functions. The resulting operators can be given a natural physical interpretation in accordance with relativistic covariance. We also indicate how the formalism may be generalized to arbitrary moments. The method is applied to the computation of static baryon properties with numerical results for the nucleon charge radii and the baryon octet magnetic moments. In addition, we make predictions for the magnetic moments of some selected nucleon resonances and discuss the decomposition of the nucleon magnetic moments in contributions of spin and angular momentum, as well as the evolution of these contributions with decreasing quark mass.     

Cu2O半导体超微粒子的光学性质

本文研究了表面修饰的Cu2O半导体超微粒子的光学性质.在Cu2O超微粒子中未观察到显著的量子尺寸效应,但测量到很强的宽带光致发光,且随着激发波长变短,其发光带的峰位蓝移,发光带宽度增加.最后,分析了Cu2O超微粒子的宽带发光机制,并讨论了热处理对超微粒子的发光强度的影响.     

在赝自旋对称性势场中运动的相对论粒子的束缚态

在赝自旋对称性条件下,分别求解了在Kratzer型、Hulthén型和Poschl-Teller型标量势与矢量势场中运动的相对论粒子的Klein-Gordon方程和Dirac方程,给出了它们的束缚态能谱和相对论性波函数.     

耦合量子阱中激子凝聚的研究进展

近年来，半导体量子阱中激子的玻色一爱因斯坦凝聚研究取得了很大进展．实验上利用耦合量子阱间接激子中电子和空穴在空间上的分离，显著提高了激子的冷却速度和寿命，成功地把激子冷却到1K以下，观察到了激子的准凝聚状态，并且在强激光照射下，发现了随光照强度增强而增大的激子发光环和环上形成的有规则斑点图案，引起了广泛的兴趣和重视．理论研究表明，发光环的出现是电子和空穴在量子阱中的反常输运行为造成的，但环上形成规则斑点的物理机理目前尚不清楚．文章介绍了这方面的实验背景和形成激子环的物理图像，指出了理论研究中存在的问题，并对解决问题的方案进行了讨论．     

On the binding energies of excitons in polar quantum well structures in a weak electric field

The binding energies of excitons in quantum well structures subjected to an applied uniform electric field by taking into account the exciton longitudinal optical phonon interaction is calculated. The binding energies and corresponding Stark shifts for Ⅲ-Ⅴ and Ⅱ-Ⅵ compound semiconductor quantum well structures have been numerically computed. The results for GaAs/A1GaAs and ZnCdSe/ZnSe quantum wells are given and discussed. Theoretical results show that the exciton-phonon coupling reduces both the exciton binding energies and the Stark shifts by screening the Coulomb interaction. This effect is observable experimentally and cannot be neglected.     

Solving Large Quadratic Assignment Problems in Parallel

Quadratic Assignment problems are in practice among the mostdifficult to solve in the class of NP-complete problems. Theonly successful approach hitherto has been Branch-and-Bound-basedalgorithms, but such algorithms are crucially dependent on good boundfunctions to limit the size of the space searched. Much work hasbeen done to identify such functions for the QAP, but with limitedsuccess.Parallel processing has also been used in order to increase the sizeof problems solvable to optimality. The systems used have, however, oftenbeen systems with relatively few, but very powerful vector processors, andhave hence not been ideally suited for computations essentially involving non-vectorizable computations on integers.In this paper we investigate the combination of one of the best bound functions for a Branch-and-Bound algorithm (the Gilmore-Lawler bound) and various testing, variable binding and recalculation of bounds between branchings when used in aparallel Branch-and-Bound algorithm. The algorithm has been implemented on a 16-processor MEIKO Computing Surface with Intel i860processors. Computational results from the solution of a number of large QAPs, including the classical Nugent 20 are reported.     

纳米混合分子聚集体材料中弗兰克尔激子迁移的相位弛豫

在有机染料ＰＩＣ－１中引入其衍生物ａｚａＰＩＣ－Ｉ形成能量势垒，改变在混合分子聚集体中ＰＩＣ－Ｉ的Ｊ－聚集体的实体长度。用双调制外差检测的累积光子回波技术研究了相干弗兰克尔激子失相过程。观测到激子失相时间Ｔ２随ａｚａＰＩＣ－１克分子数的增大从６０ｐｓ变为２２４ｐｓ。