Derivation of Jacobian formula with Dirac delta function
DC Field | Value | Language |
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dc.contributor.author | Kim, Dohyun | - |
dc.contributor.author | Ee, June-Haak | - |
dc.contributor.author | Yu, Chaehyun | - |
dc.contributor.author | Lee, Jungil | - |
dc.date.accessioned | 2021-11-20T09:40:39Z | - |
dc.date.available | 2021-11-20T09:40:39Z | - |
dc.date.created | 2021-08-30 | - |
dc.date.issued | 2021-05 | - |
dc.identifier.issn | 0143-0807 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/128100 | - |
dc.description.abstract | We demonstrate how to make the coordinate transformation or change of variables from Cartesian coordinates to curvilinear coordinates by making use of a convolution of a function with Dirac delta functions whose arguments are determined by the transformation functions between the two coordinate systems. By integrating out an original coordinate with a Dirac delta function, we replace the original coordinate with a new coordinate in a systematic way. A recursive use of Dirac delta functions allows the coordinate transformation successively. After replacing every original coordinate into a new curvilinear coordinate, we find that the resultant Jacobian of the corresponding coordinate transformation is automatically obtained in a completely algebraic way. In order to provide insights on this method, we present a few examples of evaluating the Jacobian explicitly without resort to the known general formula. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | IOP PUBLISHING LTD | - |
dc.title | Derivation of Jacobian formula with Dirac delta function | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Lee, Jungil | - |
dc.identifier.doi | 10.1088/1361-6404/abdca9 | - |
dc.identifier.scopusid | 2-s2.0-85103541825 | - |
dc.identifier.wosid | 000627727300001 | - |
dc.identifier.bibliographicCitation | EUROPEAN JOURNAL OF PHYSICS, v.42, no.3 | - |
dc.relation.isPartOf | EUROPEAN JOURNAL OF PHYSICS | - |
dc.citation.title | EUROPEAN JOURNAL OF PHYSICS | - |
dc.citation.volume | 42 | - |
dc.citation.number | 3 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Education & Educational Research | - |
dc.relation.journalResearchArea | Physics | - |
dc.relation.journalWebOfScienceCategory | Education, Scientific Disciplines | - |
dc.relation.journalWebOfScienceCategory | Physics, Multidisciplinary | - |
dc.subject.keywordAuthor | Jacobian | - |
dc.subject.keywordAuthor | Dirac delta function | - |
dc.subject.keywordAuthor | coordinate transformation | - |
dc.subject.keywordAuthor | chain rule of partial derivatives | - |
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