Localization for one-dimensional two-particle random Schr\"odinger operators with Poisson potential
Mathematical Physics
2020-07-16 v1 math.MP
Spectral Theory
Abstract
We prove the complete spectral and the strong dynamical Anderson localization in a two-particle random Schr\"odinger operators with the Poisson potential. The results apply with sufficiently weak interaction between the particle system.
Cite
@article{arxiv.2007.07813,
title = {Localization for one-dimensional two-particle random Schr\"odinger operators with Poisson potential},
author = {Trésor Ekanga},
journal= {arXiv preprint arXiv:2007.07813},
year = {2020}
}
Comments
25 pages. arXiv admin note: substantial text overlap with arXiv:1611.10345, arXiv:1702.03945, arXiv:1201.2339