| Автор | H Turschner |
| Дата выпуска | 1979-04-01 |
| dc.description | The correspondence between operators on a Hilbert space and phase-space functions based upon symmetric ordering, introduced by Cahill and Glauber (1969) (Weyl correspondence) is used in the present paper to define (non-linear) unitary transformations for quantum systems with the help of canonical transformations, which are bijective, i.e. one-to-one onto. These unitary transformations can be used to determine exactly the energy eigenvalues of a large class of one-dimensional quantum systems. As an example the authors calculate the exact eigenvalues of the Hamiltonian H(X,P)=<sup>1</sup>/<sub>2m</sub>(P<sup>2</sup>+a<sup>1</sup>2( nu +2)/ mod X mod <sup>nu </sup>), a, nu >0. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Exact eigenvalues of the Hamiltonian P<sup>2</sup>+A mod X mod <sup>nu </sup> |
| Тип | paper |
| DOI | 10.1088/0305-4470/12/4/006 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 12 |
| Первая страница | 451 |
| Последняя страница | 457 |
| Аффилиация | H Turschner; Theoretische Festkorperphys., Tech. Hochschule Darmstadt, Darmstadt, West Germany |
| Выпуск | 4 |
