Exact analytical eigenfunctions for the x2+ λ x2/(1+gx2) interaction
- 21 August 1988
- journal article
- editorial
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 21 (16) , 3393-3397
- https://doi.org/10.1088/0305-4470/21/16/017
Abstract
The author discusses an ansatz for the eigenfunctions of the x2+ λ x2/(1+gx2) interaction introduced by Blecher and Leach (1987). The author shows that the ansatz provides pairs of solutions in five cases having λ and g connected by λ =-(6g2+4g) and conjectures the possible existence of an infinite number of such solution pairs.Keywords
This publication has 2 references indexed in Scilit:
- The Schrodinger equation for the x2+λx2/(1+gx2) interactionJournal of Physics A: General Physics, 1987
- Eigenenergies of the +λ/(1+) potential obtained by the shifted 1/N expansionPhysical Review A, 1987