[{"abstract":[{"lang":"eng"}],"quality_controlled":0,"intvolume":" 303","month":"04","publication_status":"published","publication":"Communications in Mathematical Physics","dc":{"source":["Erdös L, Knowles A. Quantum diffusion and eigenfunction delocalization in a random band matrix model. Communications in Mathematical Physics. 2011;303(2):509-554. doi:10.1007/s00220-011-1204-2"],"relation":["info:eu-repo/semantics/altIdentifier/doi/10.1007/s00220-011-1204-2"],"identifier":["https://research-explorer.ista.ac.at/record/2717"],"description":["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. "],"date":["2011"],"type":["info:eu-repo/semantics/article","doc-type:article","text","http://purl.org/coar/resource_type/c_6501"],"publisher":["Springer"],"creator":["László Erdös","Knowles, Antti"],"rights":["info:eu-repo/semantics/closedAccess"],"title":["Quantum diffusion and eigenfunction delocalization in a random band matrix model"]},"day":"01","uri_base":"https://research-explorer.ista.ac.at","page":"509 - 554","date_created":"2018-12-11T11:59:14Z","issue":"2","date_published":"2011-04-01T00:00:00Z","volume":303,"_id":"2717","type":"journal_article","status":"public","dini_type":"doc-type:article","date_updated":"2021-01-12T06:59:15Z","citation":{"apa":"Erdös, L., & Knowles, A. (2011). Quantum diffusion and eigenfunction delocalization in a random band matrix model. Communications in Mathematical Physics. Springer. https://doi.org/10.1007/s00220-011-1204-2","ieee":"L. Erdös and A. Knowles, “Quantum diffusion and eigenfunction delocalization in a random band matrix model,” Communications in Mathematical Physics, vol. 303, no. 2. Springer, pp. 509–554, 2011.","short":"L. Erdös, A. Knowles, Communications in Mathematical Physics 303 (2011) 509–554.","mla":"Erdös, László, and Antti Knowles. “Quantum Diffusion and Eigenfunction Delocalization in a Random Band Matrix Model.” Communications in Mathematical Physics, vol. 303, no. 2, Springer, 2011, pp. 509–54, doi:10.1007/s00220-011-1204-2.","ista":"Erdös L, Knowles A. 2011. Quantum diffusion and eigenfunction delocalization in a random band matrix model. Communications in Mathematical Physics. 303(2), 509–554.","chicago":"Erdös, László, and Antti Knowles. “Quantum Diffusion and Eigenfunction Delocalization in a Random Band Matrix Model.” Communications in Mathematical Physics. Springer, 2011. https://doi.org/10.1007/s00220-011-1204-2."},"extern":1,"author":[{"orcid":"0000-0001-5366-9603","last_name":"Erdös","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","first_name":"László"},{"first_name":"Antti","last_name":"Knowles"}],"publist_id":"4175"}]