| Автор | J A Reyes |
| Автор | M del Castillo-Mussot |
| Дата выпуска | 1999-03-12 |
| dc.description | We employ Laplace and Fourier transforms in momentum space to find the bound states of the 1D Schrödinger equations with two different potentials; and . By performing inverse transforms we show that for the potential the solutions in real space reduce to those of the 1D hydrogen atom with eigenenergies proportional to with n integer. Analogously, we find that for the potential the eigenenergies are proportional to and the eigenfunctions can be expressed in terms of fractional derivatives. Taking into account that both potentials are singular (the potential is analytical and the potential is not), we analyse the nature of their bound states. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | 1D Schrödinger equations with Coulomb-type potentials |
| Тип | paper |
| DOI | 10.1088/0305-4470/32/10/017 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 32 |
| Первая страница | 2017 |
| Последняя страница | 2025 |
| Аффилиация | J A Reyes; Instituto de Física, Universidad Nacional Autónoma de México, Apdo. Postal 20-364, 01000 México, Distrito Federal, México |
| Аффилиация | M del Castillo-Mussot; Instituto de Física, Universidad Nacional Autónoma de México, Apdo. Postal 20-364, 01000 México, Distrito Federal, México |
| Выпуск | 10 |
