19 citations · 30 across the 8 of their papers we have counts for
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math-ph2024★ 8 cited
Ground state energy is not always convex in the number of electrons
Simone Di Marino, Mathieu Lewin, Luca Nenna
We provide the first counterexample showing that the ground state energy of electrons in an external Coulomb potential is not always a convex function of the number of electrons. T…
math-ph2023
A sparse approximation of the Lieb functional with moment constraints
Virginie Ehrlacher, Luca Nenna
The aim of this paper is to present new sparsity results about the so-called Lieb functional, which is a key quantity in Density Functional Theory for electronic structure calculat…
math-ph2023
Universal diagonal estimates for minimizers of the Levy-Lieb functional
Simone Di Marino, Augusto Gerolin, Luca Nenna
Given a wave-function minimizing the Levy-Lieb functional, the intent of this short note is to give an estimate of the probability of the particles being in positions $(x_1, \ldots…