# One world IAMP mathematical physics seminar

This online seminar takes place on Tuesdays, starting at UTC 14.

Current organisers are Jan Dereziński (Warsaw) and Daniel Ueltschi (Warwick).

Scientific committee: Nalini Anantharaman (Strassbourg), Mihalis Dafermos (Cambridge), Stephan De Bièvre (Lille), Krzysztof Gawedzki (ENS Lyon), Bernard Helffer (Nantes), Vojkan Jaksic (McGill), Flora Koukiou (Cergy), Antti Kupiainen (Helsinki), Mathieu Lewin (Paris Dauphine), Bruno Nachtergaele (UC Davis), Claude-Alain Pillet (Toulon), Robert Seiringer (IST Austria), Jan Philip Solovej (Copenhagen), Hal Tasaki (Gakushuin).

 September 1, 2020 September 8, 2020 Antti Kupiainen (University of Helsinki) Title TBA Video link: TBA September 15, 2020 Victor Ivrii (University of Toronto) Scott and Thomas-Fermi approximations to electronic density In heavy atoms and molecules, on the distances $a \ll Z^{-1/2}$ from one of the nuclei (with a charge $Z_m$), we prove that the ground state electronic density $\rho_\Psi (x)$ is approximated in $\sL^p$-norm by the ground state electronic density for a single atom in the model with no interactions between electrons. Further, on the distances $a \gg Z^{-1}$ from all of the nuclei (with a charge $Z_1,\ldots, Z_m$) we prove that $\rho_\Psi (x)$ is approximated in $\sL^p$-norm, by the Thomas-Fermi density. We cover both non-relativistic and relativistic cases. Video link: TBA September 22, 2020 September 29, 2020 October 6, 2020 October 13, 2020 October 20, 2020 October 27, 2020 November 3, 2020 November 10, 2020 November 17, 2020 November 24, 2020 December 1, 2020 December 8, 2020 December 15, 2020