Counterexample to strong diamagnetism for the magnetic Robin Laplacian
Spectral Theory
2020-08-26 v2 Mathematical Physics
math.MP
Abstract
We determine a counterexample to strong diamagnetism for the Laplace operator in the unit disc with a uniform magnetic field and Robin boundary condition. The example follows from the accurate asymptotics of the lowest eigenvalue when the Robin parameter tends to .
Keywords
Cite
@article{arxiv.1910.12499,
title = {Counterexample to strong diamagnetism for the magnetic Robin Laplacian},
author = {Ayman Kachmar and Mikael P. Sundqvist},
journal= {arXiv preprint arXiv:1910.12499},
year = {2020}
}
Comments
Added Reference [11]; modified the formulae in (1.6), (1.10) and (1.13)