Please use this identifier to cite or link to this item: http://carpedien.ien.gov.br:8080/handle/ien/2710
Tipo: article
Título: A new method for the solution of the Schrödinger equation
Autor(es): Canosa, José
Oliveira, Roberto gomes de
Resumo: We 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.
Palavras-chave: Schrodinger equation
Eigenfunctions
Eigenvalues
Mathematical solutions
Idioma: eng
País: Brasil
Editor: Instituto de Engenharia Nuclear
Sigla da Instituição: IEN
Tipo de Acesso: embargoedAccess
URI: http://carpedien.ien.gov.br:8080/handle/ien/2710
Data do documento: May-1969
Appears in Collections:Outras produções: Artigos de Periódicos

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