The rotation number for almost periodic potentials with jump discontinuities and $\delta$-interactions
Dynamical Systems
2023-12-12 v2 Classical Analysis and ODEs
Abstract
We consider one-dimensional Schr\"odinger operators with generalized almost periodic potentials with jump discontinuities and -interactions. For operators of this kind we introduce a rotation number in the spirit of Johnson and Moser. To do this, we introduce the concept of almost periodicity at a rather general level, and then the almost periodic function with jump discontinuities and -interactions as an application.
Keywords
Cite
@article{arxiv.2112.00372,
title = {The rotation number for almost periodic potentials with jump discontinuities and $\delta$-interactions},
author = {David Damanik and Meirong Zhang and Zhe Zhou},
journal= {arXiv preprint arXiv:2112.00372},
year = {2023}
}
Comments
34 pages, to appear in Annales Henri Poincar\'e