32 citations · 39 across the 6 of their papers we have counts for
5 papers · 1 filter
The ground state energy of the weakly interacting Bose gas at high density
Alessandro Giuliani, Robert Seiringer
We prove the Lee-Huang-Yang formula for the ground state energy of the 3D Bose gas with repulsive interactions described by the exponential function, in a simultaneous limit of wea…
The BCS Critical Temperature for Potentials with Negative Scattering Length
Christian Hainzl, Robert Seiringer
We prove that the critical temperature for the BCS gap equation is given by in the low density limit . The formula holds for…
Non-linear ground state representations and sharp Hardy inequalities
Rupert L. Frank, Robert Seiringer
We determine the sharp constant in the Hardy inequality for fractional Sobolev spaces. To do so, we develop a non-linear and non-local version of the ground state representation, w…
A Nonlinear Model for Relativistic Electrons at Positive Temperature
Christian Hainzl, Mathieu Lewin, Robert Seiringer
We study the relativistic electron-positron field at positive temperature in the Hartree-Fock-approximation. We consider both the case with and without exchange term, and investiga…
Critical Temperature and Energy Gap for the BCS Equation
Christian Hainzl, Robert Seiringer
We derive upper and lower bounds on the critical temperature and the energy gap (at zero temperature) for the BCS gap equation, describing spin 1/2 fermions interacting v…