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math.SP2020
Spectral localization for quantum Hamiltonians with weak random delta interaction
Denis I. Borisov, Matthias Taeufer, Ivan Veselic
We consider a negative Laplacian in multi-dimensional Euclidean space (or a multi-dimensional layer) with a weak disorder random perturbation. The perturbation consists of a sum of…
math.AP2020
Quantum Hamiltonians with weak random abstract perturbation. II. Localization in the expanded spectrum
Denis Borisov, Matthias Täufer, Ivan Veselic
We consider multi-dimensional Schrödinger operators with a weak random perturbation distributed in the cells of some periodic lattice. In every cell the perturbation is described b…