Some Rigorous Results for the Anderson Model
- 8 April 1985
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 54 (14), 1589-1592
- https://doi.org/10.1103/physrevlett.54.1589
Abstract
We discuss two results for the Anderson model of random quantum Hamiltonians: (1) smoothness of the density of states in the one-dimensional model, even in many cases where the potential distribution is not smooth; and (2) a criterion for localization which, among other consequences, implies that certain estimates of Fröhlich and Spencer yield a dense point spectrum for the multidimensional model at large randomness or large energies.Keywords
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