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.
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Treffpunkt zum Abendessen um 18.00 Uhr im Bei Mario http://www.ristorante-bei-mario.de/.