--- res: bibo_abstract: - We consider a large neutral molecule with total nuclear charge Z in a model with self-generated classical magnetic field and where the kinetic energy of the electrons is treated relativistically. To ensure stability, we assume that Zα < 2/π, where α denotes the fine structure constant. We are interested in the ground state energy in the simultaneous limit Z → ∞, α → 0 such that κ = Zα is fixed. The leading term in the energy asymptotics is independent of κ, it is given by the Thomas-Fermi energy of order Z7/3 and it is unchanged by including the self-generated magnetic field. We prove the first correction term to this energy, the so-called Scott correction of the form S(αZ)Z2. The current paper extends the result of Solovej et al. [Commun. Pure Appl. Math.LXIII, 39-118 (2010)] on the Scott correction for relativistic molecules to include a self-generated magnetic field. Furthermore, we show that the corresponding Scott correction function S, first identified by Solovej et al. [Commun. Pure Appl. Math.LXIII, 39-118 (2010)], is unchanged by including a magnetic field. We also prove new Lieb-Thirring inequalities for the relativistic kinetic energy with magnetic fields.@eng bibo_authorlist: - foaf_Person: foaf_givenName: László foaf_name: László Erdös foaf_surname: Erdös foaf_workInfoHomepage: http://www.librecat.org/personId=4DBD5372-F248-11E8-B48F-1D18A9856A87 orcid: 0000-0001-5366-9603 - foaf_Person: foaf_givenName: Søren foaf_name: Fournais, Søren foaf_surname: Fournais - foaf_Person: foaf_givenName: Jan foaf_name: Solovej, Jan P foaf_surname: Solovej bibo_doi: 10.1063/1.3697417 bibo_issue: '9' bibo_volume: 53 dct_date: 2012^xs_gYear dct_publisher: American Institute of Physics@ dct_title: Relativistic Scott correction in self-generated magnetic fields@ ...