Hydrogen atom bound states whose spectral measures have positive upper fractal dimensions
Mathematical Physics
2022-06-07 v1 math.MP
Spectral Theory
Abstract
It is shown that, Baire generically, the bound states of the Hamiltonian of the Hydrogen atom have spectral measures with exact -lower and -upper generalized fractal dimensions; the relation to (a weak form of) dynamical delocalization along orthonormal bases is also discussed. Such result is a consequence of the distribution of the Hamiltonian eigenvalues.
Keywords
Cite
@article{arxiv.2003.12038,
title = {Hydrogen atom bound states whose spectral measures have positive upper fractal dimensions},
author = {Moacir Aloisio and Silas L. Carvalho and César R. de Oliveira},
journal= {arXiv preprint arXiv:2003.12038},
year = {2022}
}