{"title":"Noether定理在经典和Schrödinger波动方程中的应用","authors":"N. Adams, Rebecca Janka, J. R. West","doi":"10.1063/1.5129241","DOIUrl":null,"url":null,"abstract":"Noether’s Theorem, which relates continuous transformations to conservation laws, is applied to the classical wave equation and the Schrodinger equation. Transformations are derived that lead to invariances and conservation laws.Noether’s Theorem, which relates continuous transformations to conservation laws, is applied to the classical wave equation and the Schrodinger equation. Transformations are derived that lead to invariances and conservation laws.","PeriodicalId":93662,"journal":{"name":"Journal of undergraduate reports in physics","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2019-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1063/1.5129241","citationCount":"0","resultStr":"{\"title\":\"Noether’s Theorem Applied to the Classical and Schrödinger Wave Equations\",\"authors\":\"N. Adams, Rebecca Janka, J. R. West\",\"doi\":\"10.1063/1.5129241\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Noether’s Theorem, which relates continuous transformations to conservation laws, is applied to the classical wave equation and the Schrodinger equation. Transformations are derived that lead to invariances and conservation laws.Noether’s Theorem, which relates continuous transformations to conservation laws, is applied to the classical wave equation and the Schrodinger equation. Transformations are derived that lead to invariances and conservation laws.\",\"PeriodicalId\":93662,\"journal\":{\"name\":\"Journal of undergraduate reports in physics\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-10-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1063/1.5129241\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of undergraduate reports in physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1063/1.5129241\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of undergraduate reports in physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1063/1.5129241","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Noether’s Theorem Applied to the Classical and Schrödinger Wave Equations
Noether’s Theorem, which relates continuous transformations to conservation laws, is applied to the classical wave equation and the Schrodinger equation. Transformations are derived that lead to invariances and conservation laws.Noether’s Theorem, which relates continuous transformations to conservation laws, is applied to the classical wave equation and the Schrodinger equation. Transformations are derived that lead to invariances and conservation laws.
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