| Автор | R K Bhaduri |
| Автор | Avinash Khare |
| Автор | J Law |
| Автор | M V N Murthy |
| Автор | Diptiman Sen |
| Дата выпуска | 1997-04-07 |
| dc.description | We discuss a many-body Hamiltonian with two- and three-body interactions in two dimensions introduced recently by Murthy, Bhaduri and Sen. Apart from an analysis of some exact solutions in the many-body system, we analyse in detail the two-body problem which is completely solvable. We show that the solution of the two-body problem reduces to solving a known differential equation due to Heun. We show that the two-body spectrum becomes remarkably simple for large interaction strengths and the level structure resembles that of the Landau levels. We also clarify the `ultraviolet' regularization which is needed to define an inverse-square potential properly and discuss its implications for our model. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Novel correlations in two dimensions: Two-body problem |
| Тип | paper |
| DOI | 10.1088/0305-4470/30/7/032 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 30 |
| Первая страница | 2557 |
| Последняя страница | 2576 |
| Выпуск | 7 |
