Speaker: Andre Laestadius
Title: One-dimensional Lieb-Oxford bounds
Abstract: In a recent research article, Fabian Faulstich and I have investigated and proved Lieb-Oxford bounds in one dimension by studying convex potentials that approximate the ill-defined Coulomb potential. A Lieb-Oxford inequality establishes a bound of the indirect interaction energy for electrons in terms of the one-body particle density of a wave function. Our results include, e.g., modified soft Coulomb potential and regularized Coulomb potential. For these potentials, we establish Lieb-Oxford-type bounds utilizing logarithmic expressions of the particle density. Furthermore, a previous conjectured form is discussed for different convex potentials.
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