5 citations · 16 across the 13 of their papers we have counts for
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A mathematical analysis of the adiabatic Dyson equation from time-dependent density functional theory
Thiago Carvalho Corso
In this article, we analyze the Dyson equation for the density-density response function (DDRF) that plays a central role in linear response time-dependent density functional theor…
Two-term asymptotics of the exchange energy of the electron gas on symmetric polytopes in the high-density limit
Thiago Carvalho Corso
We derive a two-term asymptotic expansion for the exchange energy of the free electron gas on strictly tessellating polytopes and fundamental domains of lattices in the thermodynam…
Next-order correction to the Dirac exchange energy of the free electron gas in the thermodynamic limit and generalized gradient approximations
Thiago Carvalho Corso, Gero Friesecke
We derive the next order correction to the Dirac exchange energy for the free electron gas in a box with zero boundary conditions in the thermodynamic limit. The correction is of t…
The density-density response function in time-dependent density functional theory: mathematical foundations and pole shifting
Thiago Carvalho Corso, Mi-Song Dupuy, Gero Friesecke
We establish existence and uniqueness of the solution to the Dyson equation for the density-density response function in time-dependent density functional theory (TDDFT) in the ran…