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arXiv · 2104.12765

Stability of a Szegő-type asymptotics

Peter Müller·Ruth Schulte
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Abstract

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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Peter Müller, Ruth Schulte. 2023-01-03. Stability of a Szegő-type asymptotics. https://doi.org/10.1063/5.0135006

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