{"title":"Local time in Lagrangian mechanics","authors":"G. F. Torres del Castillo","doi":"10.31349/revmexfise.19.020209","DOIUrl":null,"url":null,"abstract":"We show that under the replacement of the time by a local time in the Lagrange equations, the form of the equations is maintained if the Lagrangian does not depend explicitly on the time. We also study the corresponding modifications in the Hamilton equations and in the Hamilton--Jacobi equation.","PeriodicalId":49600,"journal":{"name":"Revista Mexicana De Fisica E","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-07-01","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.19.020209","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
We show that under the replacement of the time by a local time in the Lagrange equations, the form of the equations is maintained if the Lagrangian does not depend explicitly on the time. We also study the corresponding modifications in the Hamilton equations and in the Hamilton--Jacobi equation.
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:
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