Localization and spectral statistics in a banded random matrix ensemble Academic Article uri icon

abstract

  • Abstract The authors investigate the localization properties of the eigenvectors of a banded random matrix ensemble, in which the diagonal matrix elements increase along the diagonal. They relate the results to a transition in the spectral statistics which is observed as a parameter is varied, and discuss the relevance of this model to the quantum mechanics of chaotic Hamiltonian systems.

publication date

  • January 1, 1991