Please use this identifier to cite or link to this item: http://carpedien.ien.gov.br:8080/handle/ien/2710
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dc.contributor.authorCanosa, José-
dc.contributor.authorOliveira, Roberto gomes de-
dc.date.accessioned2018-09-27T15:12:09Z-
dc.date.available2018-09-27T15:12:09Z-
dc.date.issued1969-05-
dc.identifier.urihttp://carpedien.ien.gov.br:8080/handle/ien/2710-
dc.languageengpt_BR
dc.publisherInstituto de Engenharia Nuclearpt_BR
dc.rightsembargoedAccesspt_BR
dc.subjectSchrodinger equationpt_BR
dc.subjectEigenfunctionspt_BR
dc.subjectEigenvaluespt_BR
dc.subjectMathematical solutionspt_BR
dc.titleA new method for the solution of the Schrödinger equationpt_BR
dc.typearticlept_BR
dc.description.resumoWe approximate the potential in the one-dimensional Schrödinger equation by a step function with a finite number of steps. In each step, the resulting differential equation has constant coefficients and is integrated exactly in terms of circular or hyperbolic functions. The solutions are then matched at the interface of each layer to construct the eigenfunctions in the whole domain. Unique features of the numerical method are: (a) All the eigenfunctions and eigenvalues are obtained with the same absolute accuracy for the same number of steps in the potential;(b) any desired number of eigenvalues and eigenfunctions are obtained in one single pass without any need to supply initial guesses for the eigenvalues; (c) for any fixed number of steps in the potential, we obtain in principle the whole infinite spectrum of eigenvalues and eigenfunctions.pt_BR
dc.publisher.countryBrasilpt_BR
dc.publisher.initialsIENpt_BR
dc.citation.volume5pt_BR
dc.citation.issue2pt_BR
dc.citation.spage188pt_BR
dc.citation.epage207pt_BR
dc.creator.affiliationInstituto de Engenharia Nuclear-
dc.creator.affiliationIBM Scientific Center-
Appears in Collections:Outras produções: Artigos de Periódicos

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