一类Marcinkiewicz积分交换子的端点估计

本文得到Ω满足Dini型条件时,Marcinkiewicz积分交换子μΩ,b(f)的端点估计:|{x∈R~n:μΩ,b(f)(x)＞λ}|≤c‖b‖BMO∫_(R~n)(|f(x)|)/λ(1+log+(|f(x)|)/λ)dx．     

The queueing model for quantum key distribution network

This paper develops a QKD (quantum key distribution)-based queueing model to investigate the data delay on QKD link and network, especially that based on trusted relays. It shows the mean packet delay performance of the QKD system. Furthermore, it proposes a key buffering policy which could effectively improve the delay performance in practice. The results will be helpful for quality of service in practical QKD systems.     

The characteristics of O＋HD （v = 0, j = 0） reaction dynamics

The analytical potential energy function of HDO is constructed at first using the many-body expansion method.The reaction dynamics of O+HD(v = 0,j = 0) in five product channels are all studied by quasi-classical trajectory(QCT) method.The results show that the long-lived complex compound HDO is the dominant product at low collision energy.With increasing collision energy,O+HD → OH+D and O+HD → OD+H exchange reactions will occur with remarkable characteristics,such as near threshold energies,different reaction probabilities,and different reaction cross sections,implying the isotopic effect between H and D.With further increasing collision energy(e.g.,up to 502.08 kJ/mol),O+HD → O+H+D will occur and induce the complete dissociation into single O,H,and D atoms.     

选择性激光烧结成型件密度的支持向量回归预测

根据不同工艺参数（层厚、扫描间距、激光功率、扫描速度、加工环境温度、层与层之间的加工时间间隔和扫描方式）下的选择性激光烧结成型件密度的实测数据集,应用基于粒子群算法寻优的支持向量回归（SVR）方法,建立了加工工艺参数与成型件密度间的预测模型,并与BP神经网络模型进行了比较.结果表明：基于相同的训练样本和检验样本,成型件密度的SVR模型比其BP神经网络模型具有更强的内部拟合能力和更高的预测精度;增加训练样本数有助于提高SVR预测模型的泛化能力;基于留一交叉验证法的SVR模型的预测误差最小.因此,SVR是一种预测选择性激光烧结成型件密度的有效方法. 关键词： 选择性激光烧结 密度 支持向量机 回归分析     

Positive Steady States of a Prey-predator Model with Diffusion and Non-monotone Conversion Rate

In this paper, we study the positive steady states of a prey-predator model with diffusion throughout and a non-monotone conversion rate under the homogeneous Dirichlet boundary condition. We obtain some results of the existence and non-existence of positive steady states. The stability and uniqueness of positive steady states are also discussed.     

Multiparty quantum secret sharing based on Bell measurement

A multiparty quantum secret sharing scheme based on Bell measurement is proposed and analyzed. In this scheme, all agents are not required to prepare entangled states or perform any local unitary operation. The security of the protocol is also analyzed. It is shown that any eavesdropper will introduce errors invariably and be detected if he tries to steal information about Trent’s secret. Moreover, because no classical bit needs to be transmitted except those for detection, the total efficiency of the scheme approaches to 100%.     

在可交换四元数空间中的双曲方程的特征边值问题

讨论了一阶和二阶双曲复方程的特征边值问题.对其中两种线性方程,分别在不同的情况下获得通解和可解条件.而对于拟线性的二阶双曲复方程,证明了解的存在性和唯一性.     

超高灵敏度太赫兹超导探测器

太赫兹(THz)波段一般定义为0.1–10 THz的频率区间, 对应波长范围3 mm–30 μm, 覆盖短毫米波至亚毫米波段(远红外). 尽管人们早已认识到太赫兹波段具有非常重要的科学意义和广泛的应用前景, 但该波段仍然是一个有待全面研究和开发的电磁频率窗口. 因此, 太赫兹波段的天文观测在天体物理及宇宙学研究中具有不可替代的作用, 对于理解宇宙状态和演化具有非常重要的意义. 具有超高灵敏度的太赫兹超导探测器, 已经成为太赫兹波段观测的主要手段. 本文主要阐述了太赫兹超导探测器的基本类型和工作原理, 以及中国科学院紫金山天文台在该领域的主要研究成果和进展.     

1,1-二氨基-2,2-二硝基乙烯晶体热膨胀各向异性的模拟研究

对新型钝感高能炸药组分1,1-二氨基-2,2-二硝基乙烯（FOX-7）,考察并选择了适用的分子力场和超晶胞初始构型,通过303K-378K温度范围在NPT系综下的分子动力学模拟（MD）,得到常压下各温度的FOX-7晶体平衡构型,发现随温度升高晶体内分子的取向和堆积方式不变;通过线性拟合求算出线膨胀系数,发现αb明显较大而αc与αa接近但不相等;接着采用密度泛函理论(DFT)方法随各向棱长膨胀的能量变化进行了模拟计算,发现得到的能量变化成各向异性并与各向热膨胀系数相关,从而建立FOX-7晶体特定分子堆积模式与热膨胀各向异性的关联。     

在同位旋空间中正反质子弹性散射的重整化混合圈链图效应

本文采用描述荷电和中性 pion 介子与核子-反核子强相互作用的同位旋SU(2)不变耦合模型,计算出在 pion0 重整化混合圈链图传播下 p pbar -> p pbar 弹性散射微分截面的“精确”解析结果;并且将此结果与在 pion0 树图传播下的微分截面作了对比分析,得到相应的辐射修正重要信息。本文完成的工作对进一步深入研究 pion 介子与核子-反核子强相互作用的同位旋SU(2)不变耦合模型以及深入理论探讨正反质子对撞实验,都将提供理论研究的参考价值。