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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2104.12765 |
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| _version_ | 1866913633587429376 |
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| author | Müller, Peter Schulte, Ruth |
| author_facet | Müller, Peter Schulte, Ruth |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2104_12765 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Stability of a Szegő-type asymptotics Müller, Peter Schulte, Ruth Mathematical Physics Spectral Theory 35J10 (Primary), 47B35 (Secondary) 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. |
| title | Stability of a Szegő-type asymptotics |
| topic | Mathematical Physics Spectral Theory 35J10 (Primary), 47B35 (Secondary) |
| url | https://arxiv.org/abs/2104.12765 |