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.
Publié le : 2005-06-08
Classification:
Mathematical Physics,
High Energy Physics - Theory,
Quantum Physics
@article{0506017,
author = {Kamenshchik, A and Luzzi, M and Venturi, G},
title = {Remarks on the method of comparison equations (generalized WKB method)
and the generalized Ermakov-Pinney equation},
journal = {arXiv},
volume = {2005},
number = {0},
year = {2005},
language = {en},
url = {http://dml.mathdoc.fr/item/0506017}
}
Kamenshchik, A; Luzzi, M; Venturi, G. Remarks on the method of comparison equations (generalized WKB method)
and the generalized Ermakov-Pinney equation. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0506017/