26 citations · 80 across the 28 of their papers we have counts for
5 papers · 1 filter
An Application of Singular Traces to Crystals and Percolation
N. Azamov, E. Hekkelman, E. McDonald +2
For a certain class of discrete metric spaces, we provide a formula for the density of states. This formula involves Dixmier traces and is proven using recent advances in operator…
The density of states depends on the domain
Nurulla Azamov, Edward McDonald, Dmitriy Zanin +1
In this short note we demonstrate that the definition of the density of states of a Schrödinger operator with bounded potential in general depends on the choice of the domain under…
A Dixmier trace formula for the density of states
Nurulla Azamov, Edward McDonald, Fedor Sukochev +1
A version of Connes trace formula allows to associate a measure on the essential spectrum of a Schrödinger operator with bounded potential. In solid state physics there is another…
Resonance index and singular mu-invariant
Nurulla Azamov, Tom Daniels
With the essential spectrum of a self-adjoint operator given a relatively trace class perturbation one can associate an integer-valued invariant which admits different descriptions…
A constructive approach to stationary scattering theory
Nurulla Azamov
In this paper we give a new and constructive approach to stationary scattering theory for pairs of self-adjoint operators and on a Hilbert space which sati…