H. Yau

activity

19992005

most citedClassification of Asymptotic Profiles for Nonlinear Schrödinger Equations with Small Initial Data

4 citations · 12 across the 6 of their papers we have counts for

collaborators

Showing 2004Show all

2 papers · 1 filter

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…