Perturbed Poeschl-Teller oscillators

Details Perturbed Poeschl-Teller oscillators Perturbed Poeschl-Teller oscillators

2000-01-14

arxiv.org/abs/math-ph/0001022v1

Physics Letters A 266 (2000) 254 - 259.

Physics

Mathematical Physics

10 pages, Latex, submitted to Physics Letters A

Scientific paper

10.1016/S0375-9601(00)00077-3

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.

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