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arXiv · 2107.09828

The density of states depends on the domain

Nurulla Azamov·Edward McDonald·Dmitriy Zanin·Fedor Sukochev
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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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Nurulla Azamov, Edward McDonald, Dmitriy Zanin, Fedor Sukochev. 2021-07-21. The density of states depends on the domain. https://arxiv.org/abs/2107.09828

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