--- res: bibo_abstract: - We consider Hermitian and symmetric random band matrices H in d ≥ 1 dimensions. The matrix elements H xy, indexed by, are independent, uniformly distributed random variables if {pipe}x-y{pipe} is less than the band width W, and zero otherwise. We prove that the time evolution of a quantum particle subject to the Hamiltonian H is diffusive on time scales. We also show that the localization length of the eigenvectors of H is larger than a factor W d/6 times the band width. All results are uniform in the size of the matrix. @eng bibo_authorlist: - foaf_Person: foaf_givenName: László foaf_name: László Erdös foaf_surname: Erdös foaf_workInfoHomepage: http://www.librecat.org/personId=4DBD5372-F248-11E8-B48F-1D18A9856A87 orcid: 0000-0001-5366-9603 - foaf_Person: foaf_givenName: Antti foaf_name: Knowles, Antti foaf_surname: Knowles bibo_doi: 10.1007/s00220-011-1204-2 bibo_issue: '2' bibo_volume: 303 dct_date: 2011^xs_gYear dct_publisher: Springer@ dct_title: Quantum diffusion and eigenfunction delocalization in a random band matrix model@ ...