19 citations · 39 across the 7 of their papers we have counts for
7 papers
The ground state energy of the three dimensional Ginzburg-Landau functional. Part~II: Surface regime
S. Fournais, A. Kachmar, M. Persson
We study the Ginzburg-Landau model of superconductivity in three dimensions and for strong external magnetic fields. For magnetic field strengths above the phenomenologically defin…
Superconductivity between HC2 and HC3
Søren Fournais, Bernard Helffer, Mikael Persson
Superconductivity for Type II superconductors in external magnetic fields of magnitude between the second and third critical fields is known to be restricted to a narrow boundary r…
Strong diamagnetism for the ball in three dimensions
S. Fournais, M. Persson
In this paper we give a detailed asymptotic formula for the lowest eigenvalue of the magnetic Neumann Schrödinger operator in the ball in three dimensions with constant magnetic fi…
A non-existence result for the Ginzburg-Landau equations
Ayman Kachmar, Mikael Persson
We consider the stationary Ginzburg-Landau equations in , . We exhibit a class of applied magnetic fields (including constant fields) such that the Ginzburg-Landau equ…
Eigenvalue asymptotics of the even-dimensional exterior Landau-Neumann Hamiltonian
Mikael Persson
We study the Schroedinger operator with a constant magnetic field in the exterior of a compact domain in , . The spectrum of this operator consists of clu…
Zero modes for the magnetic Pauli operator in even-dimensional Euclidean space
Mikael Persson
We study the ground state of the Pauli Hamiltonian with a magnetic field in R^(2d). We consider the case where a scalar potential W is present and the magnetic field B is given by…