Quantum tunneling on graphs
Quantum Physics
2015-05-27 v1 Mathematical Physics
Combinatorics
math.MP
Abstract
We explore the tunneling behavior of a quantum particle on a finite graph, in the presence of an asymptotically large potential. Surprisingly the behavior is governed by the local symmetry of the graph around the wells.
Cite
@article{arxiv.1101.2660,
title = {Quantum tunneling on graphs},
author = {Yong Lin and Gabor Lippner and Shing-Tung Yau},
journal= {arXiv preprint arXiv:1101.2660},
year = {2015}
}
Comments
18 pages