10 papers
Arbitrary harmonic functions as Bose--Einstein condensates
Michiel De Wilde, Robert Seiringer
We show that a suitable choice of boundary conditions for the Laplacian allows for the appearance of an an arbitrary number of condensates, described by arbitrary harmonic function…
The Huang--Yang formula for a two-dimensional Fermi gas: upper bound
Christian Hainzl, Fabian Saxler, Robert Seiringer
We compute an upper bound on the ground state energy of a dilute two-dimensional Fermi gas with repulsive short-range interactions. Our bound can be viewed as the two-dimensional a…
The Huang-Yang formula for the low-density Fermi gas: upper bound
Emanuela L. Giacomelli, Christian Hainzl, Phan Thà nh Nam +1
We study the ground state energy of a gas of spin fermions with repulsive short-range interactions. We derive an upper bound that agrees, at low density , with the Huang-…
Liquid Drop Model for Nuclear Matter in the Low Density Limit
Rupert L. Frank, Mathieu Lewin, Robert Seiringer
We consider the liquid drop model with a positive background density in the thermodynamic limit. We prove a two-term asymptotics for the ground state energy per unit volume in the…
Dyson expansion for form-bounded perturbations and applications to the polaron problem
Davide Desio, Robert Seiringer
We present an abstract Dyson expansion for perturbations that are merely relatively form-bounded, and apply it to the polaron problem. For a large class of polaron-type models, inc…
Bound excited states of Fröhlich polarons in one dimension
Jamie Taylor, Matija Äufar, David Mitrouskas +3
The one-dimensional Fröhlich model describing the motion of a single electron interacting with optical phonons is a paradigmatic model of quantum many-body physics. We predict the…