Accurate eigenvalues of bounded oscillators
Mathematical Physics
2009-11-13 v2 math.MP
Abstract
We calculate accurate eigenvalues of a bounded oscillator by means of the Riccati--Pad\'e method that is based on a rational approximation to a regularized logarithmic derivative of the wavefunction. Sequences of roots of Hankel determinants approach the model eigenvalues from below with remarkable convergence rate.
Keywords
Cite
@article{arxiv.0802.1483,
title = {Accurate eigenvalues of bounded oscillators},
author = {Francisco M. Fernandez},
journal= {arXiv preprint arXiv:0802.1483},
year = {2009}
}