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Solution of the 1d Schrödinger Equation for a Symmetric Well

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Opis bibliograficzny
1. autor: Carvalho, Lindomar Bomfim de
Data wydania: 2019
Kolejni autorzy: Santos, Wytler Cordeiro dos, Corrêa, Eberth de Almeida
Format: Article
Język: eng
Źródło: Repositório Institucional da UnB
Download full: https://repositorio.unb.br/handle/10482/36552
https://doi.org/10.1590/1806-9126-rbef-2018-0359
http://orcid.org/0000-0003-2827-9659
http://orcid.org/0000-0002-1896-4073
http://orcid.org/0000-0002-3437-0822
Streszczenie: 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.