3 papers
math-ph2026
Magnetic Hardy inequalities with singular integral weights
Hynek Kovarik, Pier Cristoforo Rossaro
In this paper we present Hardy type inequalities for magnetic Dirichlet forms with singular integral weights. We analyze the local and global optimality of the integral weight and…
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 intro…
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…