2 papers
math-ph2025
A modified Fermi Golden Rule at threshold for 3D magnetic Schrödinger operators
Pavel Exner, Arne Jensen, Hynek Kovarik
In this paper we consider three-dimensional Schrödinger operators with a simple threshold eigenvalue. We show, under certain assumptions, that when a small magnetic field is introd…
math.SP2024
Optimizing the ground of a Robin Laplacian: asymptotic behavior
Pavel Exner, Hynek Kovarik
In this note we consider achieving the largest principle eigenvalue of a Robin Laplacian on a bounded domain by optimizing the Robin parameter function under an integral constr…