László Erdős

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20032005

most citedGross-Pitaevskii Equation as the Mean Field Limit of Weakly Coupled Bosons

3 citations · 5 across the 4 of their papers we have counts for

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Showing 2004 · math-phShow all

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math-ph2004★ 3 cited

Gross-Pitaevskii Equation as the Mean Field Limit of Weakly Coupled Bosons

Alexander Elgart, Laszlo Erdos, Benjamin Schlein +1

We consider the dynamics of $N$ boson systems interacting through a pair potential $N^{- 1} V_{a} (x_{i} - x_{j})$ where $V_{a} (x) = a^{- 3} V (x / a)$ . We denote the solution to the $N$ -particl…

math-ph2004

Derivation of the Gross-Pitaevskii Hierarchy for the Dynamics of Bose-Einstein Condensate

Laszlo Erdos, Benjamin Schlein, Horng-Tzer Yau

Consider a system of $N$ bosons on the three dimensional unit torus interacting via a pair potential $N^{2} V (N (x_{i} - x_{j}))$ , where $\bx=(x_1, ..., x_N)$ denotes the positions of the pa…