Solution of the 1d Schrödinger Equation for a Symmetric Well
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| Главный автор: | |
|---|---|
| Дата публикации: | 2019 |
| Другие авторы: | , |
| Формат: | Article |
| Язык: | eng |
| Источник: | 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 |
Итог: | 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. |