3 papers
math.SP2026
On the directional growth of the resolvent norm
Horia Cornean, Henrik Garde, Arne Jensen
Let be a closed densely defined operator on a separable Hilbert space . Assume the resolvent set is non-empty. For let denote the str…
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.SP2023
Resolvent expansions of 3D magnetic Schroedinger operators and Pauli operators
Arne Jensen, Hynek Kovarik
We obtain asymptotic resolvent expansions at the threshold of the essential spectrum for magnetic Schrödinger and Pauli operators in dimension three. These operators are treated as…