Quantum Stackelberg Duopoly of Continuous Distributed Asymmetric Information

The minimal quantization structure is employed to investigate the quantum version of the Stackelberg duopoly with continuous distributed asymmetric information, i.e a continuous distribution while the second mover has the first mover has incomplete information that obeys complete information. It is found that the effects of the positive quantum entanglement on the outcomes exhibit many interesting features due to the information asymmetry. Moreover, although the first-mover advantage is counteracted by the information asymmetry, the positive quantum entanglement still enhances the first-mover advantage and improves the first-mover tolerance of the information asymmetry beyond the classical limit.     

准周期链状聚合物电子谱及特征

研究了链状聚合物的长短键结构呈准周期排列的电子谱。利用紧束缚近似和转移矩阵方法通过理论证明和计算表明：这种准周期排列聚合物的电子谱,当长短键长度相差很小时,具有类似于金属晶体的能带结构;相差很大时,具有无序系统一维能级结构;而对于一般情形,其电子谱与上两者均异,形成所谓的类Cantor集。这3类不同的谱结构反映在链状聚合物的宏观物理性质上也将有所不同,它无疑会影响聚合物的稳定性及相关(超)导电性能,深入研究这方面问题将有助于对有机超导的认识。     

二维晶格上Kadanoff分块及重整化群方法

对二维晶格上的Kadanoff分块进行了全面分析，给出了划分的一般规律，得出元块选择的非任意性和含相同元块选择不惟一等结论，并给出正三角形格子和正方形格子元块中格点数目的允许值。同时，利用重整化群方法对9点，13点元块进行了计算，得到了相应的不动点和各种临界指数，并与其它计算结果进行了比较，结果表明，计算精度有随元块中所含格点数的增加而增加的趋势。     

ηc→γl+l-衰变研究

在有效场理论和几种不同矢量介子主导(vector meson dominance,VMD)模型的基础上,考虑介子波函数尺寸效应,引入量子色动力学(quantum chromodynamics,QCD)因子,研究了η_c→γl⁺l^-的单达利兹衰变;计算了η_c衰变到γl⁺l^-(l=e,μ)与双光子的相对衰变宽度,给出了相对微分衰变宽度随轻子对l⁺l^-的不变质量谱的分布,并估计了区分不同模型需要的η_c、Jψ、ψ(3686)、h_c和B介子事例数。     

十次对称准晶的光电导率

讨论了十次对称准晶的光电导率，推导了十次对称准晶在周期方向和准周期平面不同的光电导率的计算公式，并以此计算了十次对称准晶Al₆₅Co₁₇Cu₁₈的光电导率，得到了与实验值相当符合的结果. 关键词： 准晶 光电导率     

面向行为尺度的城市绿地格局公平性评价及其优化策略——以深圳市为例

应用景观生态学基本概念和理论,提出城市绿地格局公平性概念,探讨面向行为尺度的城市绿地格局公平性评价方法。以深圳市为例,利用ArcGIS中邻域分析方法,对4种情景的绿地格局公平性进行评价,并提出针对性优化策略。研究结果表明:1)深圳市绿地公平性存在明显的空间分异;2)绿地格局的绝对公平性(E)与相对公平性(E*)差异明显,居住用地的配置在一定程度上会影响城市绿地格局的公平性;3)不同行为尺度下的公平性差异明显,出行距离会对城市绿地格局公平性产生影响;4)公平性评价结果可以用于指导绿地格局优化设计,进而为城市绿地系统规划和管理提供参考依据。     

面向行为尺度的城市绿地格局公平性评价及其优化策略——-以深圳市为例

应用景观生态学基本概念和理论, 提出城市绿地格局公平性概念, 探讨面向行为尺度的城市绿地格局公平性评价方法。以深圳市为例, 利用ArcGIS中邻域分析方法, 对4种情景的绿地格局公平性进行评价, 并提出针对性优化策略。研究结果表明: 1) 深圳市绿地公平性存在明显的空间分异; 2) 绿地格局的绝对公平性(E)与相对公平性(E^*)差异明显, 居住用地的配置在一定程度上会影响城市绿地格局的公平性; 3) 不同行为尺度下的公平性差异明显, 出行距离会对城市绿地格局公平性产生影响; 4) 公平性评价结果可以用于指导绿地格局优化设计, 进而为城市绿地系统规划和管理提供参考依据。     

基于模糊聚类的上海地区未成年人体型分析

为了研究上海地区未成年人的体型现状,用非接触式人体三维扫描测量方法,精确测量上海地区2000名未成年人的体型特征数据,并进行预处理,分别提取形体划分的特征指标值并进行细分.利用模糊聚类和模糊识别的隶属函数,建立适用于体型识别的数学模型.得出上海地区未成年人体型特征,对按胸体比和胸腰差分类后的体型差异做了定性、定量的描述,对童装设计规范、服装合体性发展有积极的意义.     

Group-theoretical method for physical property tensors of quasicrystals

In addition to the phonon variable there is the phason variable in hydrodynamics for quasicrystals. These two kinds of hydrodynamic variables have different transformation properties. The phonon variable transforms under the vector representation, whereas the phason variable transforms under another related representation. Thus, a basis (or a set of basis functions) in the representation space should include such two kinds of variables. This makes it more difficult to determine the physical property tensors of quasicrystals. In this paper the group-theoretical method is given to determine the physical property tensors of quasicrystals. As an illustration of this method we calculate the third-order elasticity tensors of quasicrystals with five-fold symmetry by means of basis functions. It follows that the linear phonon elasticity is isotropic, but the nonlinear phonon elasticity is anisotropic for pentagonal quasicrystals. Meanwhile, the basis functions are constructed for all noncrystallographic point groups of quasicrystals.     

Phonon dispersion relations and soft modes of 4 carbon nanotubes

The phonon dispersion relations of three kinds of 4 carbon nanotubes are calculated by using the density functional perturbation theory. It is found that the frequencies of some phonon modes are very sensitive to the smearing width used in the calculations, and eventually become negative at low electronic temperature. Moreover, two kinds of soft modes are identified for the (5,0) tube which are quite different from those reported previously. Our results suggest that the (5,0) tube remains metallic at very low temperature, instead of the metallic-semiconducting transition claimed before.