344 citations · 3.1k across the 86 of their papers we have counts for
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Wegner estimate and level repulsion for Wigner random matrices
Laszlo Erdos, Benjamin Schlein, Horng-Tzer Yau
We consider Hermitian random matrices with independent identically distributed entries (Wigner matrices). The matrices are normalized so that the average spacing betwee…
Feynman graphs and renormalization in quantum diffusion
Laszlo Erdoes, Manfred Salmhofer, Horng-Tzer Yau
We review our proof that in a scaling limit, the time evolution of a quantum particle in a static random environment leads to a diffusion equation. In particular, we discuss the ro…
The ground state energy of a low density Bose gas: a second order upper bound
Laszlo Erdos, Benjamin Schlein, Horng-Tzer Yau
Consider bosons in a finite box $Λ= [0,L]^3\subset \bR^3$ interacting via a two-body nonnegative soft potential with fixed and small. We will ta…
Rigorous Derivation of the Gross-Pitaevskii Equation with a Large Interaction Potential
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…