284 citations · 311 across the 2 of their papers we have counts for
2 papers
math-ph2016★ 27 cited
Gibbs measures of nonlinear Schrödinger equations as limits of many-body quantum states in dimensions
Jürg Fröhlich, Antti Knowles, Benjamin Schlein +1
We prove that Gibbs measures of nonlinear Schrödinger equations arise as high-temperature limits of thermal states in many-body quantum mechanics. Our results hold for defocusing i…
math-ph2008★ 284 cited
Local semicircle law and complete delocalization for Wigner random matrices
Laszlo Erdos, Benjamin Schlein, Horng-Tzer Yau
We consider Hermitian random matrices with independent identical distributed entries. The matrix is normalized so that the average spacing between consecutive eigenvalu…