6 citations · 16 across the 7 of their papers we have counts for
4 papers · 1 filter
Purely magnetic tunnelling between radial magnetic wells
Søren Fournais, Léo Morin, Nicolas Raymond
This article is devoted to the semiclassical spectral analysis of the magnetic Laplacian in two dimensions. Assuming that the magnetic field is positive and has two symmetric radia…
Quantitative Magnetic Isoperimetric Inequality
Rohan Ghanta, Lukas Junge, Leo Morin
In 1996 Erdoes showed that among planar domains of fixed area, the smallest principal eigenvalue of the Dirichlet Laplacian with a constant magnetic field is uniquely achieved on t…
Eigenvalue asymptotics for confining magnetic Schrödinger operators with complex potentials
Léo Morin, Nicolas Raymond, San Vu Ngoc
This article is devoted to the spectral analysis of the electro-magnetic Schrödinger operator on the Euclidean plane. In the semiclassical limit, we derive a pseudo-differential ef…
A semiclassical Birkhoff normal form for symplectic magnetic wells
Léo Morin
In this paper we construct a Birkhoff normal form for a semiclassical magnetic Schr{ö}dinger operator with non-degenerate magnetic field, and discrete magnetic well, defined on an…