0912.0097 (Benedek Valko et al.)

Random Schrodinger operators on long boxes, noise explosion and the GOE    [PDF]

Benedek Valko, Balint Virag

It is conjectured that the eigenvalues of random Schrodinger operators at the localization transition in dimensions d>=2 behave like the eigenvalues of the Gaussian Orthogonal Ensemble (GOE). We show that there are sequences of n by m boxes with 1<View original: http://arxiv.org/abs/0912.0097