{"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}
引用次数: 27
Abstract
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)
Schrödinger方程†数值积分的三阶三角和指数拟合辛方法
用三角拟合和指数拟合的辛积分器考虑一维时无关Schrödinger方程的解。首先将Schrödinger方程转化为哈密顿正则方程。得到了一维谐振子和指数势的数值结果。(©2005 WILEY-VCH Verlag GmbH &KGaA公司，Weinheim)
本文章由计算机程序翻译，如有差异，请以英文原文为准。
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