| Автор | Jürgen Stein |
| Дата выпуска | 2000-04-01 |
| dc.description | The flow equations describing the continuous unitary transformation which brings the Hamiltonian closer to diagonality are derived and solved exactly for the Lipkin model in the Holstein-Primakoff boson representation and for a large particle number N . The transformed Hamiltonian is diagonal in order 1/N <sup>3</sup> , extending known linear transformations to next-higher orders in the inverse particle number. This approach quite naturally allows one to preserve the tridiagonal structure of the original Lipkin Hamiltonian in the course of the transformation. Exact analytical results for the coupling functions and explicit expressions for the ground state energy and for the energy gap to the first excited state in order 1/N <sup>2</sup> are presented and are compared with the accurate numerical values. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Unitary flow of the bosonized large-N Lipkin model |
| Тип | paper |
| DOI | 10.1088/0954-3899/26/4/304 |
| Electronic ISSN | 1361-6471 |
| Print ISSN | 0954-3899 |
| Журнал | Journal of Physics G: Nuclear and Particle Physics |
| Том | 26 |
| Первая страница | 377 |
| Последняя страница | 385 |
| Аффилиация | Jürgen Stein; Institut für Theoretische Physik, Ruprecht-Karls-Universität Heidelberg, Philosophenweg 19, 69120 Heidelberg, Germany |
| Выпуск | 4 |
