Perturbed Poeschl-Teller oscillators
Mathematical Physics
2009-10-31 v1 math.MP
Abstract
Wave functions and energies are constructed in a short-range Poeschl-Teller well (= negative quadratic secans hyperbolicus) with a quartic perturbation. Within the framework of an innovated, Lanczos-inspired perturbation theory we show that our choice of non-orthogonal basis makes all the corrections given by closed formulae. The first few items are then generated using MAPLE.
Keywords
Cite
@article{arxiv.math-ph/0001022,
title = {Perturbed Poeschl-Teller oscillators},
author = {Miloslav Znojil},
journal= {arXiv preprint arXiv:math-ph/0001022},
year = {2009}
}
Comments
10 pages, Latex, submitted to Physics Letters A