2 papers
math.SP2023
Spectral asymptotics of the Neumann Laplacian with variable magnetic field on a smooth bounded domain in three dimensions
Khaled Abou Alfa, Maha Aafarani, Frédéric Hérau +1
This article is devoted the semiclassical spectral analysis of the Neumann magnetic Laplacian on a smooth bounded domain in three dimensions. Under a generic assumption on the vari…
math-ph2022
Tunneling effect in two dimensions with vanishing magnetic fields
Khaled Abou Alfa
In this paper, we consider the semiclassical 2D magnetic Schr{ö}dinger operator in the case where the magnetic field vanishes along a smooth closed curve. Assuming that this curve…