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math-ph2019
Vortex lattice solutions of the ZHK Chern-Simons equations
Krishan Rajaratnam, Israel Michael Sigal
We consider the non-relativistic Chern-Simons equations proposed by Zhang, Hansen and Kivelson as the mean field theory of the fractional Hall effect. We prove the existence of the…
math.AP2019★ 14 cited
Long-time behaviour of time-dependent density functional theory
Fabio Pusateri, Israel Michael Sigal
The density functional theory (DFT) is a remarkably successful theory of electronic structure of matter. At the foundation of this theory lies the Kohn-Sham (KS) equation. In this…