Highly accurate calculation of the real and complex eigenvalues of one-dimensional anharmonic oscillators
Quantum Physics
2024-12-17 v2 Mathematical Physics
math.MP
Abstract
We draw attention on the fact that the Riccati-Pad\'e method developed some time ago enables the accurate calculation of bound-state eigenvalues as well as of resonances embedded either in the continuum or in the discrete spectrum. We apply the approach to several one-dimensional models that exhibit different kind of spectra. In particular we test a WKB formula for the imaginary part of the resonance in the discrete spectrum of a three-well potential.
Keywords
Cite
@article{arxiv.1511.08799,
title = {Highly accurate calculation of the real and complex eigenvalues of one-dimensional anharmonic oscillators},
author = {Francisco M. Fernández and Javier Garcia},
journal= {arXiv preprint arXiv:1511.08799},
year = {2024}
}
Comments
arXiv admin note: text overlap with arXiv:1411.2089 by other authors