78 citations · 1k across the 73 of their papers we have counts for
4 papers · 1 filter
Enhanced Binding in non-relativistic QED
Christian Hainzl, Vitali Vougalter, Semjon A. Vugalter
We consider a spinless particle coupled to a photon field and prove that even if the Schrödinger operator does not have eigenvalues the system can have a ground state. We…
General Decomposition of Radial Functions on R^n and Applications to N-Body Quantum Systems
Christian Hainzl, Robert Seiringer
We present a generalization of the Fefferman-de la Llave decomposition of the Coulomb potential to quite arbitrary radial functions on going to zero at infinity. This gen…
Semiclassics in the lowest Landau band
Christian Hainzl
This paper deals with the comparison between the strong Thomas-Fermi theory and the quantum mechanical ground state energy of a large atom confined to lowest Landau band wave funct…
Bounds on one-dimensional exchange energies with application to lowest Landau band quantum mechanics
Christian Hainzl, Robert Seiringer
By means of a generalization of the Fefferman-de la Llave decomposition we derive a general lower bound on the interaction energy of one-dimensional quantum systems. We apply this…