{"title":"On the calculus of Dirac delta function with some applications in classical electrodynamics","authors":"M. Kovačević, M. R. Jovanovic, M. Milošević","doi":"10.31349/REVMEXFISE.18.020205","DOIUrl":null,"url":null,"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.","PeriodicalId":49600,"journal":{"name":"Revista Mexicana De Fisica E","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Revista Mexicana De Fisica E","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31349/REVMEXFISE.18.020205","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Social Sciences","Score":null,"Total":0}
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.
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.
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