56 citations · 305 across the 37 of their papers we have counts for
6 papers · 1 filter
Some remarks about flows of Hilbert-Schmidt operators
Benjamin Boutin, Nicolas Raymond
This paper deals with bracket flows of Hilbert-Schmidt operators. We establish elementary convergence results for such flows and discuss some of their consequences.
Tunneling for the Robin Laplacian in smooth planar domains
Bernard Helffer, Ayman Kachmar, Nicolas Raymond
We study the low-lying eigenvalues of the semiclassical Robin Laplacian in a smooth planar domain symmetric with respect to an axis. In the case when the curvature of the boundary…
Magnetic Wells in Dimension Three
Bernard Helffer, Yuri Kordyukov, Nicolas Raymond +1
This paper deals with semiclassical asymptotics of the three-dimensional magnetic Laplacian in presence of magnetic confinement. Using generic assumptions on the geometry of the co…
Semiclassical tunneling and magnetic flux effects on the circle
Virginie Bonnaillie-Noël, Frédéric Hérau, Nicolas Raymond
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 electr…
Magnetic Laplacian in sharp three dimensional cones
Virginie Bonnaillie-Noël, Monique Dauge, Nicolas Popoff +1
The core result of this paper is an upper bound for the ground state energyof the magnetic Laplacian with constant magnetic field on cones that are contained in ahalf-space. This b…
Band functions in the presence of magnetic steps
Peter D. Hislop, Nicolas Popoff, Nicolas Raymond +1
We complete the analysis of the band functions for two-dimensional magnetic Schrödinger operators with piecewise constant magnetic fields. The discontinuity of the magnetic field c…