| Автор | V C Aguilera-Navarro |
| Автор | J F Gomes |
| Автор | A H Zimerman |
| Автор | K Ley Koo |
| Дата выпуска | 1983-09-11 |
| dc.description | The energy eigenvalues of harmonic oscillators in circular and spherical boxes are obtained through the Rayleigh-Schrodinger perturbative expansion, taking the free particle in a box as the non-perturbed system. The perturbative series is shown to be convergent for small boxes, and an upper bound for the radius of convergence is established. Pade-approximant solutions are also constructed for boxes of any size. Numerical comparison with the exact eigenvalues-which are obtained by constructing and diagonalising the Hamiltonian in the basis of the eigenfunctions of the free particle in a box-corroborates the accuracy and range of validity of the approximate solutions, particularly the convergence and the radius of convergence of the perturbative series. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | On the radius of convergence of Rayleigh-Schrodinger perturbative solutions for quantum oscillators in circular and spherical boxes |
| Тип | paper |
| DOI | 10.1088/0305-4470/16/13/015 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 16 |
| Первая страница | 2943 |
| Последняя страница | 2952 |
| Аффилиация | V C Aguilera-Navarro; Inst. de Fisica Teorica, Sao Paulo, Brazil |
| Аффилиация | J F Gomes; Inst. de Fisica Teorica, Sao Paulo, Brazil |
| Аффилиация | A H Zimerman; Inst. de Fisica Teorica, Sao Paulo, Brazil |
| Аффилиация | K Ley Koo; Inst. de Fisica Teorica, Sao Paulo, Brazil |
| Выпуск | 13 |
