Displaying similar documents to “From power pure point to continuous spectrum in disordered systems”

A comprehensive proof of localization for continuous Anderson models with singular random potentials

François Germinet, Abel Klein (2013)

Journal of the European Mathematical Society

Similarity:

We study continuous Anderson Hamiltonians with non-degenerate single site probability distribution of bounded support, without any regularity condition on the single site probability distribution. We prove the existence of a strong form of localization at the bottom of the spectrum, which includes Anderson localization (pure point spectrum with exponentially decaying eigenfunctions) with finite multiplicity of eigenvalues, dynamical localization (no spreading of wave packets under the...