5 citations · 6 across the 7 of their papers we have counts for
7 papers
Robin counting functions on cuboids in the critical scaling regime
Matthias Baur, Simon Larson
We consider eigenvalue counting functions of Robin Laplace operators on cuboids where the Robin parameter and the spectral cut-off are coupled. Our main focus is the critical r…
Optimizing Riesz means of Robin Laplace operators on cuboids in a semiclassical limit
Matthias Baur, Simon Larson
We study asymptotic shape optimization for Riesz means of Robin Laplacian eigenvalues among cuboids of fixed measure. Our focus is the regime where the Robin parameter is proportio…
Cwikel-Lieb-Rozenblum type estimates for the Pauli and magnetic Schrödinger operator in dimension two
Matthias Baur, Hynek Kovarik
We prove a Cwikel-Lieb-Rozenblum type inequality for the number of negative eigenvalues of Pauli operators in dimension two. The resulting upper bound is sharp both in the weak as…
Optimizing the ground state energy of the three-dimensional magnetic Dirichlet Laplacian with constant magnetic field
Matthias Baur
This paper concerns the shape optimization problem of minimizing the ground state energy of the magnetic Dirichlet Laplacian with constant magnetic field among three-dimensional do…
Numerical Optimization of Eigenvalues of the magnetic Dirichlet Laplacian with constant magnetic field
Matthias Baur
We present numerical minimizers for the first seven eigenvalues of the magnetic Dirichlet Laplacian with constant magnetic field in a wide range of field strengths. Adapting an app…
Weak coupling asymptotics for the Pauli operator in two dimensions
Matthias Baur
We compute asymptotic expansions for the negative eigenvalues of the Pauli operator in two dimensions perturbed by a weakly coupled potential with definite sign. Whereas previous r…
Eigenvalues of the magnetic Dirichlet Laplacian with constant magnetic field on disks in the strong field limit
Matthias Baur, Timo Weidl
We consider the magnetic Dirichlet Laplacian with constant magnetic field on domains of finite measure. First, in the case of a disk, we prove that the eigenvalue branches with res…