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Müller, Peter ORCID logoORCID: https://orcid.org/0000-0002-3063-9636 and Schulte, Ruth (2023): Stability of a Szegő-type asymptotics. In: Journal of Mathematical Physics, Vol. 64, No. 2, 022101 [PDF, 4MB]


We consider a multi-dimensional continuum Schrödinger operator H, which is given by a perturbation of the negative Laplacian by a compactly supported bounded potential. We show that for a fairly large class of test functions, the second-order Szegő-type asymptotics for the spatially truncated Fermi projection of H is independent of the potential and, thus, identical to the known asymptotics of the Laplacian.

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