3 papers
math-ph2020
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…
math-ph2020
Exactness of linear response in the quantum Hall effect
Sven Bachmann, Wojciech De Roeck, Martin Fraas +1
In general, linear response theory expresses the relation between a driving and a physical system's response only to first order in perturbation theory. In the context of charge tr…
math-ph2019
Quantum Systems at The Brink. Existence and Decay Rates of Bound States at Thresholds; Atoms
Dirk Hundertmark, Michal Jex, Markus Lange
It is well known that -electron atoms undergoes unbinding for a critical charge of the nucleus , i.e. the atom has eigenstates for the case and it has no bound sta…