7 citations · 19 across the 7 of their papers we have counts for
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math.AP2009★ 3 cited
High-frequency averaging in semi-classical Hartree-type equations
Johannes Giannoulis, Alexander Mielke, Christof Sparber
We investigate the asymptotic behavior of solutions to semi-classical Schroedinger equations with nonlinearities of Hartree type. For a weakly nonlinear scaling, we show the validi…
math.AP2009
Passage from quantum to classical molecular dynamics in the presence of Coulomb interactions
Luigi Ambrosio, Gero Friesecke, Jannis Giannoulis
We present a rigorous derivation of classical molecular dynamics (MD) from quantum molecular dynamics (QMD) that applies to the standard Hamiltonians of molecular physics with Coul…