3 papers
math-ph2025
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…
math-ph2025
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…
math.OC2024
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…