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Title: Solution of the 1d Schrödinger Equation for a Symmetric Well
Authors: Carvalho, Lindomar Bomfim de
Santos, Wytler Cordeiro dos
Corrêa, Eberth de Almeida
metadata.dc.identifier.orcid: http://orcid.org/0000-0003-2827-9659
http://orcid.org/0000-0002-1896-4073
http://orcid.org/0000-0002-3437-0822
Assunto:: Poço de potencial
Método WKB
Método de Numerov
Mecânica quântica
Issue Date: 2019
Publisher: Sociedade Brasileira de Física
Citation: CARVALHO, Lindomar Bomfim de; SANTOS, Wytler Cordeiro dos; CORREA, Eberth de Almeida. Solution of the 1d Schrödinger Equation for a Symmetric Well. Revista Brasileira de Ensino de Física, v. 41, n. 4, e20180359, 2019. DOI: https://doi.org/10.1590/1806-9126-rbef-2018-0359. Disponível em: http://scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172019000400402. Acesso em: 23 jan. 2020.
Abstract: We suggest a mathematical potential well with spherical symmetry and apply to the 1d Schrödinger equation. We use some well known techniques as Stationary Perturbation Theory and WKB to gain insight about the solutions and compare them each other. Finally, we solve the 1d Schrödinger equation using a numerical approach with the so-called Numerov technique for comparison. This can be a good exercise for undergrad students to grasp the above cited techniques in a quantum mechanics course.
metadata.dc.description.unidade: Faculdade UnB Gama (FGA)
Licença:: (CC BY) - Licença Creative Commons
DOI: https://doi.org/10.1590/1806-9126-rbef-2018-0359
Appears in Collections:Artigos publicados em periódicos e afins

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