57 citations · 87 across the 5 of their papers we have counts for
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Resonances for Schrodinger operators with compactly supported potentials
T. J. Christiansen, P. D. Hislop
We describe the generic behavior of the resonance counting function for a Schrödinger operator with a bounded, compactly-supported real or complex valued potential in di…
Maximal order of growth for the resonance counting functions for generic potentials in even dimensions
T. J. Christiansen, P. D. Hislop
We prove that the resonance counting functions for Schrödinger operators on , for {\it even}, with generic, compactly-supported, real- or comp…
Correlations Estimates in the Lattice Anderson Model
Jean V. Bellissard, Peter D. Hislop, Günter Stolz
We give a new proof of correlation estimates for arbitrary moments of the resolvent of random Schrödinger operators on the lattice that generalizes and extends the correlation esti…
Edge Currents for Quantum Hall Systems, I. One-Edge, Unbounded Geometries
Peter D. Hislop, Eric Soccorsi
Devices exhibiting the integer quantum Hall effect can be modeled by one-electron Schroedinger operators describing the planar motion of an electron in a perpendicular, constant ma…
Anderson Localization for radial tree-like random quantum graphs
Peter D. Hislop, Olaf Post
We prove that certain random models associated with radial, tree-like, rooted quantum graphs exhibit Anderson localization at all energies. The two main examples are the random len…