The Mathematical Basis for Physical Laws

Laws of mechanics, quantum mechanics, electromagnetism, gravitation and relativity are derived as “related mathematical identities” based solely on the existence of a joint probability distribution for the position and velocity of a particle moving on a Riemannian manifold. This probability formalism is necessary because continuous variables are not precisely observable. These demonstrations explain why these laws must have the forms previously discovered through experiment and empirical deduction. Indeed, the very existence of electric, magnetic and gravitational fields is predicted by these purely mathematical constructions. Furthermore these constructions incorporate gravitation into special relativity theory and provide corrected definitions for coordinate time and proper time. These constructions then provide new insight into the relationship between manifold geometry and gravitation and present an alternative to Einstein’s general relativity theory.     

An experimental confirmation of longitudinal electrodynamic forces by N. Graneau,T. Phipps Jr,and D. Roscoe

Eur. Phys. J. D 15, 87 (2001) Received 12 January 2001 Published online 10 December 2002 RID="a" ID="a"e-mail: aerobson@cstone.net     

A Generally Covariant Field Equation for Gravitation and Electromagnetism

A generally covariant field equation is developed for gravitation and electromagnetism by considering the metric vector q in curvilinear, non-Euclidean spacetime. The field equation is

Time-dependent beltrami fields in material continua: The Beltrami-Maxwell postulates

Time-dependent Beltrami fields in free space follow very naturally from the Maxwell postulates. In this paper, a comprehensive but elementary treatment of time-dependent Beltrami fields inmaterial continua is enunciated. Field equations in free space have been derived and solved, and a scheme for the general representation of Beltrami fields has been given. Field relations in material continua have been set up in the form ofBeltrami-Maxwell postulates, along with appropriate constitutive relations for linear materials. Monochromatic Beltrami field formulation in free space as well as in linear materials has been accomplished. The Mossotti-Clausius model, to enable the transition from the microscopic to the macroscopic length scales, has been given entirely in terms of Beltrami fields.     

同伴教学法对课堂期望的影响——基于广西师范大学《电磁学》的教学实践研究

同伴教学法（Peer Instruction,简称PI）是一种基于问题的自主学习和学生之间的合作探究的教学方法．同伴教学法作为一种新的教学方式,富有成效地改变了传统的课堂教学模式,提高了学生的学习主动性和学习效果,为大学物理教学改革提供了一种新模式与借鉴．为在大学物理课程中更有效地实施同伴教学法,笔者进行了教学实践研究．研究中主要采用实验法与调查问卷法,分别以广西师大物理教育和科学教育专业作为实验班与对照班,分别采用同伴教学法与传统教学法．一是旨在对比两种教学方法对学习效果的影响,二是通过调查问卷分析同伴教学法对课堂期望的影响．结果表明同伴教学法课堂的整体学习效果明显得到了提高;实验班在课堂学习模式、课堂满意程度、师范生培养、课程改革的期望比对照班有明显提高,在课堂内容的期望上两班没有区别．     

《电磁学》中静电类问题的可视化仿真实验设计

《电磁学》中基本概念、基本规律理论性强、场图复杂.针对离散点电荷系在空间产生的场分布、静电场中导体的静电感应现象、静电场中电介质的极化现象等典型静电类电磁问题,利用Matlab中的偏微分方程工具箱(PDEtool)、数学物理方程进行可视化仿真实验设计.仿真结果中电场线、等势线的分布很好地体现出典型电磁现象及相关物理性质,有助于信息技术条件下的教学方法改革.