23 citations · 48 across the 4 of their papers we have counts for
8 papers
Analysis of zero modes for Dirac operators with magnetic links
Fabian Portmann, Jeremy Sok, Jan Philip Solovej
In this paper we provide a means to approximate Dirac operators with magnetic fields supported on links in (and ) by Dirac operators with smooth magnet…
Spectral flow for Dirac operators with magnetic links
Fabian Portmann, Jérémy Sok, Jan Philip Solovej
This paper is devoted to the study of the spectral properties of Dirac operators on the three-sphere with singular magnetic fields supported on smooth, oriented links. As for Aharo…
Self-adjointness and spectral properties of Dirac operators with magnetic links
Fabian Portmann, Jérémy Sok, Jan Philip Solovej
We define Dirac operators on (and ) with magnetic fields supported on smooth, oriented links and prove self-adjointness of certain (natural) extensions…
Estimates for the Lowest Eigenvalue of Magnetic Laplacians
Tomas Ekholm, Hynek Kovarik, Fabian Portmann
We prove various estimates for the first eigenvalue of the magnetic Dirichlet Laplacian on a bounded domain in two dimensions. When the magnetic field is constant, we give lower an…
Fractional Hardy-Lieb-Thirring and related inequalities for interacting systems
Douglas Lundholm, Phan Thành Nam, Fabian Portmann
We prove analogues of the Lieb-Thirring and Hardy-Lieb-Thirring inequalities for many-body quantum systems with fractional kinetic operators and homogeneous interaction potentials,…
Lieb-Thirring Bounds for Interacting Bose Gases
Douglas Lundholm, Fabian Portmann, Jan Philip Solovej
We study interacting Bose gases and prove lower bounds for the kinetic plus interaction energy of a many-body wave function in terms of its particle density. These general estimate…