Abstract
A revision of the recursive method proposed by S.A. Shakir [Am. J. Phys. 52, 845 (1984)] to solve bound eigenvalues of the Schrödinger equation is presented. Equations are further simplified and generalized for computing wave functions of any given one-dimensional potential, providing accurate solutions not only for bound states but also for scattering and resonant states, as demonstrated here for a few examples.
| Translated title of the contribution | Solução recursiva geral para potenciais quânticos unidimensionais: uma ferramenta simples para física aplicada |
|---|---|
| Original language | English |
| Journal | Revista Brasileira de Ensino de Física |
| Publication status | Published - 2007 |
| Externally published | Yes |
Keywords
- One-dimensional quantum potentials
- numerical solutions
- computational methods
- Schrödinger equation