6 citations · 16 across the 7 of their papers we have counts for
8 papers
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…
Lower bounds on the energy of the Bose gas
Søren Fournais, Theotime Girardot, Lukas Junge +2
We present an overview of the approach to establish a lower bound to the ground state energy for the dilute, interacting Bose gas in a periodic box. In this paper the size of the b…
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…
2D random magnetic Laplacian with white noise magnetic field
Léo Morin, Antoine Mouzard
We define the random magnetic Laplacien with spatial white noise as magnetic field on the two-dimensional torus using paracontrolled calculus. It yields a random self-adjoint opera…
Spectral asymptotics for the semiclassical Bochner Laplacian of a line bundle with constant rank curvature
Léo Morin
The goal of this paper is manyfold. Firstly, we want to give a short introduction to the Bochner Laplacian and explain why it acts locally as a magnetic Laplacian. Secondly, given…