Department Mathematik



Mathematisches Kolloquium

Am Donnerstag, 26.10.2017, um 16:30 Uhr spricht

Nam Phan

im Hörsaal A027 über das Thema

On the Thomas-Fermi approximation and Lieb-Thirring inequality (Antrittsvorlesung)

Zusammenfassung: In the Thomas-Fermi theory, the kinetic energy of a many-electron wave function is conveniently expressed in terms of its one-body density functional. This semiclassical approximation goes back to the early days of quantum mechanics and has been used widely in computational physics and chemistry. However, many questions on the validity of the approximation remain open from a mathematical point of view. I will prove that the Thomas-Fermi approximation is a rigorous lower bound for the many-body kinetic energy, up to a gradient term of lower order. This is an improved version of the Lieb-Thirring inequality.
Alle Interessierten sind hiermit herzlich eingeladen. Eine halbe Stunde vor dem Vortrag gibt es Kaffee und Tee im Sozialraum (Raum 448) im 4. Stock.
Treffpunkt zum Abendessen um 18.00 Uhr wird noch bekannt gegeben.