On bounds of \(N(\lambda)\) for a magnetic Schrödinger operator (Q1974857)
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scientific article; zbMATH DE number 1425152
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On bounds of \(N(\lambda)\) for a magnetic Schrödinger operator |
scientific article; zbMATH DE number 1425152 |
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On bounds of \(N(\lambda)\) for a magnetic Schrödinger operator (English)
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27 March 2000
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The author considers the Schrödinger operator \(H\) in \(\mathbb{R}^2\) with magnetic potential. Let \(N(\lambda)\) denote the dimension of the spectral projection of \(H\) on \([0,\lambda]\) for \(\lambda>0\). A two-side estimate of \(N(\lambda)\) is proven and a similar estimate for the bottom of the spectrum is provided.
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discrete spectrum
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magnetic Schrödinger operator
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0.9280547
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0.9271714
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0.92522055
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0.9210514
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0.91978025
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0.90847313
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