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math-ph2021
Second-order homogenization of periodic Schrödinger operators with highly oscillating potentials
Éric Cancès, Louis Garrigue, David Gontier
We consider the homogenization at second-order in of -periodic Schrödinger operators with rapidly oscillating potentials of the form $H^\varepsilon =-Δ+ \…
math-ph2021★ 19 cited
Building Kohn-Sham potentials for ground and excited states
Louis Garrigue
We analyze the inverse problem of Density Functional Theory using a regularized variational method. First, we show that given and a target density , there exist potentials h…