25 citations · 152 across the 42 of their papers we have counts for
5 papers · 1 filter
Counting Negative Eigenvalues for the Magnetic Pauli Operator
Søren Fournais, Rupert L. Frank, Magnus Goffeng +2
We study the Pauli operator in a two-dimensional, connected domain with Neumann or Robin boundary condition. We prove a sharp lower bound on the number of negative eigenvalues remi…
Nonclassical spectral asymptotics and Dixmier traces: From circles to contact manifolds
Heiko Gimperlein, Magnus Goffeng
We consider the spectral behavior and noncommutative geometry of commutators , where is an operator of order with geometric origin and a multiplication operator…
Spectral flow of exterior Landau-Robin hamiltonians
Magnus Goffeng, Elmar Schrohe
We study the spectral flow of Landau-Robin hamiltonians in the exterior of a compact domain with smooth boundary. This provides a method to study the spectrum of the exterior Landa…
Clusters of eigenvalues for the magnetic Laplacian with Robin condition
Magnus Goffeng, Ayman Kachmar, Mikael Persson Sundqvist
We study the Schrödinger operator with a constant magnetic field in the exterior of a compact domain in euclidean space. Functions in the domain of the operator are subject to a bo…
Commutator estimates on contact manifolds and applications
Heiko Gimperlein, Magnus Goffeng
This article studies sharp norm estimates for the commutator of pseudo-differential operators with multiplication operators on closed Heisenberg manifolds. In particular, we obtain…