78 citations · 1k across the 73 of their papers we have counts for
4 papers · 2 filters
On the well-posedness and scattering for the Gross-Pitaevskii hierarchy via quantum de Finetti
Thomas Chen, Christian Hainzl, Natasa Pavlovic +1
We prove the existence of scattering states for the defocusing cubic Gross-Pitaevskii (GP) hierarchy in . Moreover, we show that an energy growth condition commonly…
Unconditional uniqueness for the cubic Gross-Pitaevskii hierarchy via quantum de Finetti
Thomas Chen, Christian Hainzl, Natasa Pavlovic +1
We present a new, simpler proof of the unconditional uniqueness of solutions to the cubic Gross-Pitaevskii hierarchy in . One of the main tools in our analysis is the quantum…
Translation-invariant quasi-free states for fermionic systems and the BCS approximation
Gerhard Bräunlich, Christian Hainzl, Robert Seiringer
We study translation-invariant quasi-free states for a system of fermions with two-particle interactions. The associated energy functional is similar to the BCS functional but incl…
On contact interactions as limits of short-range potentials
Gerhard Bräunlich, Christian Hainzl, Robert Seiringer
We reconsider the norm resolvent limit of with tending to a point interaction in three dimensions. We are mainly interested in potentials modelling s…