The density of states depends on the domain

2021/07/21 by Azamov, Nurulla, McDonald, Edward, Zanin, Dmitriy +1
#35J10 #47N50 #81Q10 #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2107.09828

Abstract

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 undergoing the thermodynamic limit.

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