Semiclassical tunneling and magnetic flux effects on the circle
Analysis of PDEs
2015-08-27 v2 Mathematical Physics
math.MP
Spectral Theory
Abstract
This paper is devoted to semiclassical tunneling estimates induced on the circle by a double well electric potential in the case when a magnetic field is added. When the two electric wells are connected by two geodesics for the Agmon distance, we highlight an oscillating factor (related to the circulation of the magnetic field) in the splitting estimate of the first two eigenvalues.
Keywords
Cite
@article{arxiv.1505.04524,
title = {Semiclassical tunneling and magnetic flux effects on the circle},
author = {Virginie Bonnaillie-Noël and Frédéric Hérau and Nicolas Raymond},
journal= {arXiv preprint arXiv:1505.04524},
year = {2015}
}