5 citations · 6 across the 3 of their papers we have counts for
4 papers
Orbital-free functional with sub-milliHartree errors for slabs
Pavel Okun, Antonio C. Cancio, Kieron Burke
Using principles of asymptotic analysis, we derive the exact leading corrections to the Thomas-Fermi kinetic energy approximation for Kohn-Sham electrons for slabs. This asymptotic…
Asymptotics of eigenvalue sums when some turning points are complex
Pavel Okun, Kieron Burke
Recent work has shown a deep connection between semilocal approximations in density functional theory and the asymptotics of the sum of the WKB semiclassical expansion for the eige…
Semiclassics: The hidden theory behind the success of DFT
Pavel Okun, Kieron Burke
We argue that the success of DFT can be understood in terms of a semiclassical expansion around a very specific limit. This limit was identified long ago by Lieb and Simon for the…
Uncommonly accurate energies for the general quartic oscillator
Pavel Okun, Kieron Burke
Recent advances in the asymptotic analysis of energy levels of potentials produce relative errors in eigenvalue sums of order , but few non-trivial potentials have been s…