Semiclassically Improved Density Functional Theory -
Density functional theory is a standard tool for computing energies (eigenvalues) throughout chemistry and in many parts of physics and materials science. I will present the basics of the subject and then show how semiclassical analysis can improve the accuracy of its results. I will begin with elementary examples, and then explain how we build outward from them using Weyl asymptotics, which I will also introduce.