多线性算子在Herz型Hardy空间上的有界性

本文证明了Ｒｎ上奇异积分乘积之有限和的多线性算子是从ＨＫｑ１α１,ｐ１（Ｒｎ）×… ×ＨＫｑｋαｋ,ｐｋ（Ｒｎ）到ＨＫｑα,ｐ（Ｒｎ）有界的,如果它满足由目标空间所确定的直到一定阶的消失矩条件．这些多线性算子所满足的消失矩条件,当αｊ≥０时也是必要的．而且,这里所考虑的奇异积分包括Ｃａｌｄｅｒｏｎ－Ｚｙｇｍｕｎｄ奇异积分及任意阶的分数次积分．     

Resonances and antibound states for the dressed one-dimensional δ-function potential

We calculate resonances, antibound states and two new light induced states of the dressed one-dimensional attractive δ-function potential, as function of α₀ — the free electron quiver motion amplitude in a monochromatic electromagnetic field, in the range 0<α₀<150 a.u. We describe also our method, adequate to the numerical solution of the Schrödinger equation for this particular potential.     

Interlayer vibration of twisted bilayer graphene: A first-principles study

Multi-layered structures of graphene and other two dimensional materials are novel organizations with fascinating properties. In this work, we investigate the interlayer lattice dynamics of the Moiré superlattice of twisted bilayer graphene (tBLG) using first-principles calculations. Due to the structural complexity, we calculate the frequencies of the interlayer breathing and shear vibrational modes of the tBLG without exploring all the degree of freedoms of the tBLG. Our calculation shows that the frequencies of breathing and shear modes display pronounced dependence on twisting angle, and compare well with the state of arts experimental measurements. We hint that the strategy employed here paves a route to the study of the interlayer vibrational properties of double layered two dimensional systems.     

Boundedness and continuity of maximal singular integrals and maximal functions on Triebel-Lizorkin spaces

In this paper, we systematically study several classes of maximal singular integrals and maximal functions with rough kernels in F_β(S~(n-1)), a topic that relates to the Grafakos-Stefanov class. The boundedness and continuity of these operators on Triebel-Lizorkin spaces and Besov spaces are discussed.     

基于学生自制教具的物理教学实践研究

新课标强调实验教学在物理教学中的重要性.而学生自制教具作为实验教学方式之一,可使学生深度参与学习,强化认知,提升能力,进而发展核心素养.本文探讨了学生自制教具的特性等,并在“平抛运动”和“向心力”两节展开了教学实践.对教学实践教学效果分析发现,基于学生自制教具的物理教学确实有助于学生提升学习兴趣,提升模型建构能力、问题解决能力,发展物理学科核心素养;但由于学生自制教具的开放性,对教师提出了较高要求.     

25Mg(p, γ)26Al实验研究进展

长寿命放射性核素26Al是星际介质、$\gamma$射线天文学和太阳系形成研究中最重要的核素之一。最可能合成26Al的三种天体场所都与25Mg(${\rm p},\,{\rm{\gamma }}$)26Al反应相关，因此精确测量其近阈能级的共振强度和天体物理反应率对人们认识宇宙26Al的来源具有重要意义。本文回顾了25Mg(${\rm p},\,{\rm{\gamma }}$)26Al反应的实验研究方法和最新研究进展，特别是介绍了我国对该反应的间接测量实验以及直接实验测量计划。当前的间接测量结果提升了25Mg(${\rm p},\,{\rm{\gamma }}$)26Al天体物理反应率的精度，也可以帮助我们估算直接测量的产额，并优化深地直接测量的实验设计。高能点的直接测量结果与国际上其它实验结果在误差范围内符合很好，表明本项目研制的探测装置工作状态良好，能够胜任锦屏深地核天体物理实验研究。     

Equivalence of Sharp Trudinger-Moser Inequalities in Lorentz-Sobolev Spaces

Potential Analysis - The critical and subcritical Trudinger-Moser inequalities in Lorentz Sobolev space have been studied by Cassani and Tarsi (Asymptot. Anal. 64(1-2):29–51, 2009), Lu and...