Degree of fourth-order coherence by double Hanbury Brownben Twiss detections

Photon quantum statistics of light can be shown by the high-order coherence. The fourth-order coherences of various quantum states including Fock states, coherent states, thermal states and squeezed vacuum states are investigated based on a double Hanbury Brown–Twiss (HBT) scheme. The analytical results are obtained by taking the overall efficiency and background into account.     

Degree of fourth-order coherence by double Hanbury Brown—Twiss detections

<正>Photon quantum statistics of light can be shown by the high-order coherence.The fourth-order coherences of various quantum states including Fock states,coherent states,thermal states and squeezed vacuum states are investigated based on a double Hanbury Brown-Twiss(HBT) scheme.The analytical results are obtained by taking the overall efficiency and background into account.     

A combinatorial problem from sooner waiting time problems with run and frequency quotas

In this paper, we study the problem of finding the number of integer solutions solving

     

数论中切比雪夫不等式的一点补充

利用Wallis不等式,得到素数计算函数的一个下界估计.     

“Can you help me count these pennies?”: Surfacing preschoolers’ understandings of counting

ABSTRACT

Capturing the breadth and variety of children’s understanding is critical if studies of children’s mathematical thinking are to inform policy and practice in early childhood education. This article presents an investigation of young children’s counting. Detailed coding and analyses of assessment interviews with 476 preschoolers revealed understandings that would be overlooked by solely assessing the accuracy of their responses. In particular, many children demonstrated understandings of counting principles on a challenging task that were not captured by other, simpler tasks. We conclude that common approaches to capturing young children’s mathematical understanding are likely underestimating their capabilities. This study contributes to researchers’ understanding of what making sense of counting looks and sounds like for preschool age children (3–5 years), the development and relations among counting principles (one-to-one, cardinal, and patterns of the number sequence), and the affordances of challenging, open-ended tasks. We close by considering the implications of recognizing and building from what children know and can do for researchers, practitioners, and policymakers.     

Best bounds on the distance between 3-direction quartic box spline surface and its control net

We present the best bounds on the distance between 3-direction quartic box spline surface patch and its control net by means of analysis and computing for the basis functions of 3-direction quartic box spline surface. Both the local bounds and the global bounds are given by the maximum norm of the first differences or second differences or mixed differences of the control points of the surface patch.     

WEIGHTED COMPOSITION OPERATORS ON WEIGHTED DIRICHLET SPACES

We characterize the boundedness and compactness of weighted composition operators on weighted Dirichlet spaces in terms of Nevanlinna counting functions and Caxleson measure.     

高光学质量氮化碳薄膜的制备和表征

氮化碳(graphitic carbon nitride,g-CN)作为一种非金属半导体材料已被广泛应用于多种能源相关领域研究中。目前由于制备高质量g-CN薄膜的困难,大大限制了其在实际器件上的应用。本文中,我们报道了一种可制备高光学质量gCN薄膜的方法:即由三聚氰胺先通过热聚合制备本体g-CN粉末,再由本体g-CN粉末经过气相沉积在ITO导电玻璃或钠钙玻璃基底上制备g-CN薄膜。扫描电子显微镜和原子力显微镜的测量结果表明在ITO玻璃基底上形成的g-CN薄膜形貌结构均一且致密,厚度约为300nm。扫描电镜能量色散能谱和X射线光电子能谱测量结果表明在ITO玻璃基底上制备的g-CN薄膜的化学组成与本体g-CN粉末的化学组成基本一致。同时,我们发现制备的g-CN薄膜和本体g-CN粉末一样在光照射下可以有效降解亚甲基蓝染料。此外,我们还测量了制备的g-CN薄膜的稳态吸收光谱、稳态荧光光谱、荧光寿命和价带谱,并运用吸收光谱和价带谱数据确定了其能带结构。     

紫外单光子成像系统的研究

搭建了紫外单光子成像系统,详细介绍了该系统的组成、工作原理和分辨率性能测试.由汞灯发出的紫外光经过大气散射、多块减光片得到了紫外单光子流.单光子直接打在微通道板上,微通道板产生的倍增电子由楔条形阳极收集,电荷灵敏前置放大器将阳极输出的电荷信号转变为电压信号,主放大器对前放信号进行滤波整形.利用高速数据采集卡连续采集主放大器的输出波形,通过软件对采集波形进行处理,采用图像处理技术得到了紫外单光子10min的计数图像,并对图像进行了畸变校正.此外,通过自己设计的分辨率板,测得该系统的分辨率可达150μm.该系统在极微弱光探测成像,生物发光,空间环境探测等方面具有广泛应用. 关键词： 单光子计数成像 阳极探测器 楔条形阳极 分辨率