{"title":"一自由度系统哈密顿量的非唯一性","authors":"S. Yoo-Kong","doi":"10.5772/intechopen.88069","DOIUrl":null,"url":null,"abstract":"The alternative Hamiltonians for systems with one degree of freedom are solved directly from the Hamilton ’ s equations. These new Hamiltonians produce the same equation of motion with the standard one (called the Newtonian Hamiltonian). Furthermore, new Hamiltonians come with an extra-parameter, which can be used to recover the standard Hamiltonian.","PeriodicalId":270584,"journal":{"name":"Progress in Relativity","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the Nonuniqueness of the Hamiltonian for Systems with One Degree of Freedom\",\"authors\":\"S. Yoo-Kong\",\"doi\":\"10.5772/intechopen.88069\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The alternative Hamiltonians for systems with one degree of freedom are solved directly from the Hamilton ’ s equations. These new Hamiltonians produce the same equation of motion with the standard one (called the Newtonian Hamiltonian). Furthermore, new Hamiltonians come with an extra-parameter, which can be used to recover the standard Hamiltonian.\",\"PeriodicalId\":270584,\"journal\":{\"name\":\"Progress in Relativity\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-12-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Progress in Relativity\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5772/intechopen.88069\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Progress in Relativity","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5772/intechopen.88069","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the Nonuniqueness of the Hamiltonian for Systems with One Degree of Freedom
The alternative Hamiltonians for systems with one degree of freedom are solved directly from the Hamilton ’ s equations. These new Hamiltonians produce the same equation of motion with the standard one (called the Newtonian Hamiltonian). Furthermore, new Hamiltonians come with an extra-parameter, which can be used to recover the standard Hamiltonian.
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