| Автор | Julio H Toloza |
| Дата выпуска | 2001-02-16 |
| dc.description | We study the behaviour of truncated Rayleigh-Schrödinger series for the low-lying eigenvalues of the one-dimensional, time-independent Schrödinger equation, in the semiclassical limit ℏ→0. Under certain hypotheses on the potential V(x), we prove that for any given small ℏ>0 there is an optimal truncation of the series for the approximate eigenvalues, such that the difference between an approximate and exact eigenvalue is smaller than exp (-C/ℏ) for some positive constant C. We also prove the analogous results concerning the eigenfunctions. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Exponentially accurate error estimates of quasiclassical eigenvalues |
| Тип | paper |
| DOI | 10.1088/0305-4470/34/6/310 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 34 |
| Первая страница | 1203 |
| Последняя страница | 1218 |
| Аффилиация | Julio H Toloza; Department of Physics and Center for Statistical Mechanics and Mathematical Physics, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061-0435, USA |
| Выпуск | 6 |
