Hankel-Hadamard analysis of quantum potential x2+λx2/(1+gx2)
- 21 December 1985
- journal article
- editorial
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 18 (18) , 3593-3596
- https://doi.org/10.1088/0305-4470/18/18/021
Abstract
The Hankel-Hadamard moment determinant analysis of Handy and Bessis (1985) is applied to the potential x2+ lambda x2/(1+gx2). Rapidly convergent lower and upper bounds to the ground-state energy and first excited state are obtained. Application of a novel type of Pade analysis allows the determination of all other excited states through an orthogonality quantisation prescription.Keywords
This publication has 3 references indexed in Scilit:
- Rapidly Convergent Lower Bounds for the Schrödinger-Equation Ground-State EnergyPhysical Review Letters, 1985
- On the Schrodinger equation for the interaction x2+λx2/(1+gx2)Journal of Physics A: General Physics, 1982
- A note on the Schrödinger equation for the x2+λx2/(1+g x2) potentialJournal of Mathematical Physics, 1980