Eigenvalues from power--series expansions: an alternative approach
Mathematical Physics
2009-11-13 v1 math.MP
Abstract
An appropriate rational approximation to the eigenfunction of the Schr\"{o}dinger equation for anharmonic oscillators enables one to obtain the eigenvalue accurately as the limit of a sequence of roots of Hankel determinants. The convergence rate of this approach is greater than that for a well--established method based on a power--series expansions weighted by a Gaussian factor with an adjustable parameter (the so--called Hill--determinant method).
Cite
@article{arxiv.0812.1771,
title = {Eigenvalues from power--series expansions: an alternative approach},
author = {P. Amore and F. M. Fernandez},
journal= {arXiv preprint arXiv:0812.1771},
year = {2009}
}