Th. Monovasilis, Z. Kalogiratou, T. E. Simos
{"title":"Schrödinger方程†数值积分的三阶三角和指数拟合辛方法","authors":"Th. Monovasilis, Z. Kalogiratou, T. E. Simos","doi":"10.1002/anac.200410038","DOIUrl":null,"url":null,"abstract":"<p>The solution of the one-dimensional time-independent Schrödinger equation is considered by trigonometrically and exponentially fitted symplectic integrators. The Schrödinger equation is first transformed into a Hamiltonian canonical equation. Numerical results are obtained for the one-dimensional harmonic oscillator and the exponential potential. (© 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)</p>","PeriodicalId":100108,"journal":{"name":"Applied Numerical Analysis & Computational Mathematics","volume":"2 2","pages":"238-244"},"PeriodicalIF":0.0000,"publicationDate":"2005-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/anac.200410038","citationCount":"27","resultStr":"{\"title\":\"Trigonometrically and Exponentially fitted Symplectic Methods of third order for the Numerical Integration of the Schrödinger Equation†\",\"authors\":\"Th. Monovasilis, Z. Kalogiratou, T. E. Simos\",\"doi\":\"10.1002/anac.200410038\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>The solution of the one-dimensional time-independent Schrödinger equation is considered by trigonometrically and exponentially fitted symplectic integrators. The Schrödinger equation is first transformed into a Hamiltonian canonical equation. Numerical results are obtained for the one-dimensional harmonic oscillator and the exponential potential. (© 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)</p>\",\"PeriodicalId\":100108,\"journal\":{\"name\":\"Applied Numerical Analysis & Computational Mathematics\",\"volume\":\"2 2\",\"pages\":\"238-244\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2005-07-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1002/anac.200410038\",\"citationCount\":\"27\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Applied Numerical Analysis & Computational Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://onlinelibrary.wiley.com/doi/10.1002/anac.200410038\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Numerical Analysis & Computational Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/anac.200410038","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 27