5 citations · 35 across the 32 of their papers we have counts for
3 papers · 1 filter
On the semi-classical analysis of the groundstate energy of the Dirichlet Pauli operator
Bernard Helffer, Mikael Persson Sundqvist
We discuss the results of a recent paper by Ekholm, Kovařík and Portmann in connection with a question of C. Guillarmou about the semiclassical expansion of the lowest eigenvalue o…
Pleijel's theorem for Schrödinger operators with radial potentials
Philippe Charron, Bernard Helffer, Thomas Hoffmann-Ostenhof
In 1956 . Pleijel gave his celebrated theorem showing that the inequality in Courant's theorem on the number of nodal domains is strict for large eigenvalues of the Laplacian. T…
Decay of superconductivity away from the magnetic zero set
Bernard Helffer, Ayman Kachmar
We establish exponential bounds on the Ginzburg-Landau order parameter away from the curve where the applied magnetic field vanishes. In the units used in this paper, the estimates…