| Автор | Richard L Hall |
| Дата выпуска | 2000-06-01 |
| dc.description | Non-relativistic potential models are considered of the pure power V(r) = sgn(q) r <sup>q</sup> and logarithmic V(r) = ln (r) types. It is shown that, from the spectral viewpoint, these potentials are actually in a single family. The log spectra can be obtained from the power spectra by the limit q→0 taken in a smooth representation P<sub>nℓ</sub>(q) for the eigenvalues E<sub>nℓ</sub>(q). A simple approximation formula is developed which yields the first 30 eigenvalues with an error less than 0.04%. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | A simple interpolation formula for the spectra of power-law and log potentials |
| Тип | paper |
| DOI | 10.1088/0954-3899/26/6/401 |
| Electronic ISSN | 1361-6471 |
| Print ISSN | 0954-3899 |
| Журнал | Journal of Physics G: Nuclear and Particle Physics |
| Том | 26 |
| Первая страница | 981 |
| Последняя страница | 986 |
| Аффилиация | Richard L Hall; Department of Mathematics and Statistics, Concordia University, 1455 de Maisonneuve Boulevard West, Montréal, Québec, Canada H3G 1M8 |
| Выпуск | 6 |
