Exact and approximate solutions of spectral problems for the Schrödinger operator on (−∞,∞) with polynomial potential
New exact representations for the solutions of numerous one-dimensional spectral problems for the Schr¨odinger operator with polynomial potential are obtained by using a technique based on the functional-discrete (FD) method. In cases where the ordinary FD-method is divergent, we propose to use its...
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| Дата: | 2018 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Українська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2018
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/1543 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| Резюме: | New exact representations for the solutions of numerous one-dimensional spectral problems for the Schr¨odinger operator
with polynomial potential are obtained by using a technique based on the functional-discrete (FD) method. In cases where
the ordinary FD-method is divergent, we propose to use its modification, which proved to be quite efficient. The obtained
theoretical results are illustrated by numerical examples. |
|---|