Remarks on the method of comparison equations (generalized WKB method) and the generalized Ermakov-Pinney equation
Mathematical Physics
2010-11-02 v2 High Energy Physics - Theory
math.MP
Quantum Physics
Abstract
The connection between the method of comparison equations (generalized WKB method) and the Ermakov-Pinney equation is established. A perturbative scheme of solution of the generalized Ermakov-Pinney equation is developed and is applied to the construction of perturbative series for second-order differential equations with and without turning points.
Cite
@article{arxiv.math-ph/0506017,
title = {Remarks on the method of comparison equations (generalized WKB method) and the generalized Ermakov-Pinney equation},
author = {A Kamenshchik and M Luzzi and G Venturi},
journal= {arXiv preprint arXiv:math-ph/0506017},
year = {2010}
}
Comments
The collective of the authors is enlarged and the calculations in Sec. 3 are corrected