On the calculus of Dirac delta function with some applications in classical electrodynamics

Q4 Social Sciences

Revista Mexicana De Fisica E Pub Date : 2021-05-21 DOI:10.31349/REVMEXFISE.18.020205

M. Kovačević, M. R. Jovanovic, M. Milošević

引用次数: 0

Abstract

The Dirac delta function is a concept that is useful throughout physics as a standard mathematical tool that appears repeatedly in the undergraduate physics curriculum including electrodynamics, optics, and quantum mechanics. Our analysis was guided by an analytical framework focusing on how students activate, construct, execute, and reflect on the Dirac delta function in the context of classical electrodynamics problems solving. It’s applications in solving the charge density associated with a point charge as well as electrostatic point dipole field, for more advanced situations to describe the charge density of hydrogen atom were presented.

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狄拉克函数的演算及其在经典电动力学中的应用

狄拉克-德尔塔函数是一个在整个物理学中都很有用的概念，它是一种标准的数学工具，在本科生物理课程中反复出现，包括电动力学、光学和量子力学。我们的分析以一个分析框架为指导，该框架侧重于学生如何在经典电动力学问题解决的背景下激活、构建、执行和反思狄拉克-德尔塔函数。介绍了它在求解与点电荷相关的电荷密度以及静电点偶极子场中的应用，以及描述氢原子电荷密度的更先进的情况。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Revista Mexicana De Fisica E 社会科学-科学史与科学哲学

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Revista Mexicana de Física (Rev. Mex. Fis.) publishes original papers of interest to our readers from the physical science com unity. Language may be English or Spanish, however, given the nature of our readers, English is recommended. Articles are classified as follows: Research. Articles reporting original results in physical science. Instrumentation. Articles reporting original contributions on design and construction of scientific instruments. They should present new instruments and techniques oriented to physical science problems solutions. They must also report measurements performed with the described instrument. Reviews. Critical surveys of specific physical science topics in which recent published information is analyzed and discussed. They should be accessible to physics graduate students and non specialists, and provide valuable bibliography to the specialist. Comments. Short papers (four pages maximum) that assess critically papers by others authors previously published in the Revista Mexicana de Física. A comment should state clearly to which paper it refers.