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19992023
most citedDerivation of the Cubic Non-linear Schrödinger Equation from Quantum Dynamics of Many-Body Systems

344 citations · 2.8k across the 83 of their papers we have counts for

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math-ph1999★ 2 cited

Linear Boltzmann Equation as the Weak Coupling Limit of a Random Schrodinger Equation

L. Erdos, H. -T. Yau

We study the time evolution of a quantum particle in a Gaussian random environment. We show that in the weak coupling limit the Wigner distribution of the wave function converges t…