65 citations · 354 across the 48 of their papers we have counts for
51 papers
Eigenvalue asymptotics for the one-particle density matrix and one-particle kinetic energy density operator
Søren Fournais, Alexander V. Sobolev
Let , , be an eigenfunction of the -particle atomic Schrödinger operator. We consider the one-particle density matrix …
Ground state energy of dense gases of strongly interacting fermions
Søren Fournais, Błażej Ruba, Jan Philip Solovej
We study the ground state energy of a gas of fermions confined to a unit box in dimensions. The particles interact through a 2-body potential with strength scaled in an …
Purely magnetic tunnelling between radial magnetic wells
Søren Fournais, Léo Morin, Nicolas Raymond
This article is devoted to the semiclassical spectral analysis of the magnetic Laplacian in two dimensions. Assuming that the magnetic field is positive and has two symmetric radia…
Counting Negative Eigenvalues for the Magnetic Pauli Operator
Søren Fournais, Rupert L. Frank, Magnus Goffeng +2
We study the Pauli operator in a two-dimensional, connected domain with Neumann or Robin boundary condition. We prove a sharp lower bound on the number of negative eigenvalues remi…
Lower bounds on the energy of the Bose gas
Søren Fournais, Theotime Girardot, Lukas Junge +2
We present an overview of the approach to establish a lower bound to the ground state energy for the dilute, interacting Bose gas in a periodic box. In this paper the size of the b…
Discrete spectrum of the magnetic Laplacian on perturbed half-planes
Virginie Bonnaillie-Noël, Søren Fournais, Ayman Kachmar +1
The existence of bound states for the magnetic Laplacian in unbounded domains can be quite challenging in the case of a homogeneous magnetic field. We provide an affirmative answer…