| Автор | B J B Crowley |
| Автор | T F Hill |
| Дата выпуска | 1979-09-01 |
| dc.description | Accurate numerical calculations performed for the linear, quartic and square-well potentials (V(X)=A mod X<sup>nu </sup> mod , nu =1,4, infinity ) fail to confirm the recent claim by Turschner to have found an exact closed-form formula for the eigenvalues of the Hamiltonian H(P,X)=P<sup>2</sup>+A mod X<sup>nu </sup> mod for any nu >0. The formula is found to be an approximation (except for nu =2). However, for the lowest eigenvalues of the potentials considered, it is found to be significantly more accurate than the simple WKB approximation based upon the Bohr-Sommerfeld integral. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Approximations to the eigenvalues of the Hamiltonian P<sup>2</sup>+A mod X<sup>nu </sup> mod in the Weyl correspondence limit-a critical appraisal of Turschner's formula |
| Тип | lett |
| DOI | 10.1088/0305-4470/12/9/001 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 12 |
| Первая страница | L223 |
| Последняя страница | L228 |
| Аффилиация | B J B Crowley; Dept. of Theoretical Phys., Univ. of Oxford, Oxford, UK |
| Аффилиация | T F Hill; Dept. of Theoretical Phys., Univ. of Oxford, Oxford, UK |
| Выпуск | 9 |
