Seminar

Lieb-Oxford Bounds with Gradient Corrections

Hamiltonians in Magnetic Fields

29 November 14:00 - 15:00

Rafael D. Benguria - Pontificia Universidad Católica de Chile

The Lieb-Oxford Bound on the indirect Coulomb energy, obtained by Elliott Lieb and Stephen Oxford in 1981, has played a major role in Atomic Physics. It has been used often in Mathematical Physics as a tool in proving different results in Stability of Matter problems. It has also been widely used in the Quantum Chemistry (DFT) community in order to estimate the Exchange and Correlation Energy. In this talk I will present a gradient correction to the Lieb-Oxford bound in two and three dimensions.
Organizers
Rafael D. Benguria
Pontificia Universidad Católica de Chile
Arne Jensen
Aalborg University
Georgi Raikov
Pontificia Universidad Católica de Chile
Grigori Rozenblioum
Chalmers/University of Gothenburg
Jan Philip Solovej
University of Copenhagen