65 citations · 439 across the 44 of their papers we have counts for
4 papers · 2 filters
Quantum Systems at The Brink: Properties of Atomic Bound States at The Ionization Threshold
Dirk Hundertmark, Michal Jex, Markus Lange
We give a rigorous argument that long--range repulsion stabilizes quantum systems; ground states of such quantum systems exist even when the ground state energy is precisely at the…
On the asymptotic dynamics of 2-D magnetic quantum systems
Esteban Cárdenas, Dirk Hundertmark, Edgardo Stockmeyer +1
In this work we provide results on the long time localisation in space (dynamical localisation) of certain two-dimensional magnetic quantum systems. The underlying Hamiltonian may…
On the van der Waals interaction between a molecule and a half-infinite plate
Ioannis Anapolitanos, Mariam Badalyan, Dirk Hundertmark
We consider a molecule in the Born-Oppenheimer approximation interacting with a plate of infinite thickness, i.e, a half--space, which is perfectly conducting or dielectric. It is…
Absence of positive eigenvalues of magnetic Schrödinger operators
Silvana Avramska-Lukarska, Dirk Hundertmark, Hynek Kovarik
We study sufficient conditions for the absence of positive eigenvalues of magnetic Schrödinger operators in . In our main result we prove the absence of ei…