为实施素质教育努力工作

几年来,由于全组老师的不懈努力,积极探索,在化学教育教学工作中取得了一些成绩,现把我们的一些做法总结成文,与广大同行共勉。     

Collective Excitations in Spin-2 Bose-Einstein Condensates

The Green＇s functions and the correlation functions in spin-2 Bose-Einstein condensates at finite temperature are defined and the generalized Dyson-Beliaev equations are introduced. We discuss the spin conservation in z direction and decouple the Green＇s functions and the generalized Dyson-Beliaev equations according to different spin conservations in z direction. The anomalous vertex functions are introduced and the self-energies are separated into the proper self-energies and the improper self-energies. The generalized Dyson-Beliaev equations are decoupled according to separation of the self-energies. We calculate the Green＇s functions step by step in the Bogoliubov approximation and discuss the collective excitations in spin-2 Bose-Einstein condensates in the polar, ferromagnetic, and cyclic cases, respectively.     

脑科学与量子理论

简要回顾了生物学与物理学之间的紧密关系,其中包括人工神经网络的经典物理模型和脑的某些量子理论;概要综述了细胞骨架微管的结构和生物功能及有关近期理论研究。注意到微声是细胞和神经元中重要的组成和功能单元,进而以较大篇幅介绍了近期关于微管的理论研究工作,特别是基于量子场论中两能级系统的赝自旋模型,对微管管壁上电子的动力学行为作了较深入的探讨;此外,基于量子场论,对微管中的水分子系统可能存在微波受激辐射也作了阐述。The present paper briefly reviews the relationship between biology and physics, especially including the classical physics models for the artificial neuron networks, some quantum theories for brains, and simply describes the structures and functions of cytoskeletal microtubules （MTs） in cells and some recent theoretical studies on MTs.Noting MTs are the important components and function units in cells and neurons, furthermore, the paper lays emphasis on our recent theoretical work on MTs. Particularly, based on the pseudo-spin quantum theory, the dynamic behavior of electrons on the MT wall has been discussed in some detail. Based on the quantum field theory, it has been described that the maser radiation might exist in the water molecular system within the MT.     

求解多主多从线性斯坦伯格问题的新方法

在本文中,我们研究斯坦伯格问题,发展了罚函数法。     

中高能重离子碰撞中的集体流性质

本文研究了在静态时不同势场下,标示核物质的核物质内部压强和束缚能对核物质密度的依赖关系.在同时考虑势场的动量相关和介质效应的情况下,通过BUU动力学计算,系统地研究了核物质流对碰撞参数和入射能量的依赖关系.通过对不同状态下的计算结果与实验值的比较,加深了对核物质状态方程的了解.     

丰中子核108Ru的集体带结构

通过对重核²⁵²Cf自发裂变产生的瞬发γ谱的测量, 对丰中子核¹⁰⁸Ru的能级结构进行了研究. 基带、单声子γ振动带和一个二准粒子带分别得到了确认和扩展, 同时识别了一个新的边带, 初步认定为二声子γ振动带. TRS模型计算表明¹⁰⁸Ru核具有三轴形变，其形变参量为β₂～0.29, γ=－22°. 推转壳模型的计算结果表明¹⁰⁸Ru核基带回弯是由h_11/2轨道的一对中子发生角动量的顺排所致. 对二准粒子带的组态特性也进行了讨论.     

关联对的结构

利用了类似于H–F的方法来自洽地确定S对(和D对)的结构,此外,为了避免因辛弱数混合而产生的伪态困难,改进了S对的定义并用不成对粒子算符来构造D对,以使它们相互独立.     

奇质量超形变带中的△I=1颤动

系统分析了A～190区超形变带的△I=1颤动,发现在大多数奇质量超形变核的signature伙伴带中存在△I=1颤动,并根据通常的集体模型作了解释.     

磁通量子隧道效应及其对实验临界电流的影响

采用磁扫描测量方法,在YBCO(123和124)薄膜上获得了实验临界电流和磁弛豫率随温度及磁场的依赖关系,借助于集体钉扎和热激活磁通运动模型,求出了真实临界电流(即对应于激活能为0的电流),从而区分开量子磁通隧道效应和热激活磁通运动对实验临界电流的影响,发现当温度(T)约低于10K时,由于磁通量子隧道效应的存在使得磁弛豫率不再随温度的下降外延至零,这种额外的磁通运动进一步降低了实验临界电流值,使其在低温下随温度降低而趋于饱和.     

Total Dominating Set Games

1 DefinitionsIn this paper we discuss cooperative cost games that arise from total domination problems on graphs. A cooperative cost game (Г) = (N,c) consists of a player set N = {1,2,…,n} and a characteristic function c : 2N→R, where for each subset S(？)N, c(S) represents the cost incurred by the coalition of players in S. The central problem in cooperative game is