Distributional Borel Summability of Odd Anharmonic Oscillators
Mathematical Physics
2015-06-26 v1 math.MP
Quantum Physics
Abstract
It is proved that the divergent Rayleigh-Schrodinger perturbation expansions for the eigenvalues of any odd anharmonic oscillator are Borel summable in the distributional sense to the resonances naturally associated with the system.
Cite
@article{arxiv.math-ph/9910001,
title = {Distributional Borel Summability of Odd Anharmonic Oscillators},
author = {Emanuela Caliceti},
journal= {arXiv preprint arXiv:math-ph/9910001},
year = {2015}
}