7 citations · 19 across the 7 of their papers we have counts for
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Semiclassical limit of quantum dynamics with rough potentials and well posedness of transport equations with measure initial data
Luigi Ambrosio, Alessio Figalli, Gero Friesecke +2
In this paper we study the semiclassical limit of the Schrödinger equation. Under mild regularity assumptions on the potential which include Born-Oppenheimer potential energy s…
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…
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…
Interaction of modulated pulses in the nonlinear Schroedinger equation with periodic potential
Johannes Giannoulis, Alexander Mielke, Christof Sparber
We consider a cubic nonlinear Schroedinger equation with periodic potential. In a semiclassical scaling the nonlinear interaction of modulated pulses concentrated in one or several…