173 citations · 594 across the 14 of their papers we have counts for
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math-ph2006★ 173 cited
Rigorous Derivation of the Gross-Pitaevskii Equation
Laszlo Erdos, Benjamin Schlein, Horng-Tzer Yau
The time dependent Gross-Pitaevskii equation describes the dynamics of initially trapped Bose-Einstein condensates. We present a rigorous proof of this fact starting from a many-bo…
math-ph2006★ 23 cited
Derivation of the Gross-Pitaevskii Equation for the Dynamics of Bose-Einstein Condensate
Laszlo Erdos, Benjamin Schlein, Horng-Tzer Yau
Consider a system of bosons in three dimensions interacting via a repulsive short range pair potential , where $\bx=(x_1, >..., x_N)$ denotes the positions of…