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math-ph2021
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…
math-ph2019
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…