| Автор | Abdulaziz D Alhaidari |
| Дата выпуска | 2000-09-29 |
| dc.description | Group-theoretical analysis shows that SO(2,1) is an underlying dynamical symmetry for all Hamiltonians that are compatible with the Jacobi matrix (J-matrix) formalism. The class of central potentials with this property is obtained including, but not limited to, the oscillator, Coulomb and Morse potentials. The L<sup>2</sup> bases and J-matrix elements for these potentials are found. SO(2,1)-invariant transformation of the solutions of the recursion relation for one potential gives those for another potential in the class. Phase-shift and resonance calculations for a single-channel potential are carried out in the oscillator basis to illustrate the use of our results. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Group-theoretical foundation of the J-matrix theory of scattering |
| Тип | paper |
| DOI | 10.1088/0305-4470/33/38/306 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 33 |
| Первая страница | 6721 |
| Последняя страница | 6738 |
| Аффилиация | Abdulaziz D Alhaidari; Department of Physics, King Fahd UPM, Dhahran 31261, Saudi Arabia |
| Выпуск | 38 |
