| Автор | S Brundobler |
| Автор | Veit Elser |
| Дата выпуска | 1993-03-07 |
| dc.description | The Schrodinger equation i Psi =(A+Bt) Psi with constant Hermitian matrices A and B is studied. In the form where B is diagonalized, this equation is a generalization of the Landau-Zener problem to an arbitrary number of crossing energy levels. An approach-the independent crossing approximation-leading to a partial understanding of the general case in terms of the two-level problem is introduced. It is found that certain S-matrix elements (and thus the corresponding transition probabilities) for the general problem are exactly given by formulae of unexpected simplicity, suggesting that some kind of general analytic solution might exist. The full S-matrix is calculated for a solvable special case of the problem. The solution of another special case, previously discovered for systems with three states, is generalized to any number of states. The asymptotic behaviour of the system is discussed in general and given explicitly to lowest order in 1/t. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | S-matrix for generalized Landau-Zener problem |
| Тип | paper |
| DOI | 10.1088/0305-4470/26/5/037 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 26 |
| Первая страница | 1211 |
| Последняя страница | 1227 |
| Аффилиация | S Brundobler; Lab. of Atomic & Solid State Phys., Cornell Univ., Ithaca, NY, USA |
| Аффилиация | Veit Elser; Lab. of Atomic & Solid State Phys., Cornell Univ., Ithaca, NY, USA |
| Выпуск | 5 |
