粒子隧道几率的一种新形式

基于二阶线型微分方程的多个任意阶转向点，建立了粒子进入或跳出势垒或势井时状态波函数的连结公式，导出了粒子穿过势垒的隧道几率公式，并利用严格的数学方法讨论了粒子进入势井时的量子化条件。该公式可合理地还原到一阶转向点情况，并与早期利用一阶转向点近似所推导出的公式相一致。     

Gravitational Gauge Theory Developed Based on the Stephenson-Kilmister-Yang Equation

A Yang-Mills formulation of Einstein gravity with spin-affine connection as the dynamical variable of gravitational field is suggested based on the Stephenson-Kilmister-Yang (SKY) equation. A physically interesting property of the present formalism is that the Einstein field equation appears as a first-integral solution to the Yang-Mills type gravitational gauge field equation. The gravitational current density, the law of conservation and the gravitational gauge field strength in vierbein formulation are discussed. The present scheme could provide us with new insight into a possible way to include both Yang-Mills field and gravitational gauge field into one framework of generalized vierbein fields.     

The geometry of L-manifolds

A class of almost contact metric structures generalizing those of quasi-Sasakian and trans-Sasakian structures is introduced and studied. Its subclass consisting of normal structures locally conformal to quasi-Sasakian structures is investigated in detail.     

A bound on the multiplicity of horizontal sections for a connection on a Riemann surface

We address the question of bounding the multiplicity of the solutions of a linear differential system, setting the problem in invariant terms. A meromorphic connection is considered on a holomorphic vector bundle over a compact Riemann surface. We produce an upper bound on the order of vanishing of an arbitrary horizontal section, which depends only on global data, provided the connection has only regular singularities or the underlying monodromy is irreducible.     

Integrability and Gauge Fixing for Bosonic String on AdS3 × S^3

The integrability and the TST transformation of the bosonic string on AdS3× S^3 are studied. The Lax connection for gauge fixed theory is constructed and proved to be fiat.     

箱型结构损伤分析的空间网格多尺度模拟方法

为高效模拟空间效应显著的结构在关键局部的损伤，本文研究建立了以损伤分析为目标的空间网格多尺度模拟方法．首先基于变形协调法和内力平衡法，研究了空间网格多尺度建模中的跨尺度界面连接方法，对比分析了两种界面连接合理性．以三跨连续刚构混凝土箱梁在地震载荷下的损伤为分析案例，验证了空间网格多尺度模型在结构损伤分析中的可行性及其在计算效率上的优越性．分析结果表明：空间网格多尺度模型可以精确模拟结构的静力效应和动力特性；空间网格多尺度模型既考虑了结构空间效应，又可以高效分析箱梁结构局部易损部位的损伤演化过程，从而为空间效应显著的结构损伤分析提供了更为实用精细的计算模拟方法．     

Invariant subspaces in higher order jet prolongations of a fibred manifold

We present a generalization of the concept of semiholonomic jets within the framework of higher order prolongations of a fibred manifold. In this respect, a compilation of our 2-fibred manifold approach with the methods of natural operators theory is used.     

Ne wtonian-Rie mannian时空中的动力学(Ⅰ)

根据现代微分几何的理论 ,力学原理及现代微积分把Newtonian_Galilean时空中的动力学推广到Newtonian_Riemannian时空中 ,建立N_R时空中的动力学 ,分几个部分 ,(Ⅰ )是其中之一 ,余后续·     

Noncommutative integrable coupling system of TC equation hierarchy

A noncommutative version of the TC soliton equation hierarchy is presented, which possesses the zero curvature representation. Then, we show that noncommutative (NC) TC equation can be derived from the noncommutative (anti-)self-dual Yang-Mills equation by reduction. Finally, an integrable coupling system of the NC TC equation hierarchy is constructed by using of the enlarged Lax pairs.     

基于化学学科核心素养的初高中衔接教学——初三化学“金属的化学性质”

“金属的化学性质”是初高中化学学习的重要内容,该部分内容涉及到重要的化学观念和化学学科核心素养,如元素观、转化观、微粒观、STS观,以及宏观辨识与微观探析、证据推理与模型认知素养。但是初三学生认知水平受限,在教学中不能深入电子转移的微观角度,不能充分认知模型、应用模型。为弥补这一问题,本研究基于化学学科核心素养,进行“金属的化学性质”的初高中衔接教学研究。