Spectral asymptotics for magnetic Schrödinger operators in domains with corners (Q398184)
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scientific article; zbMATH DE number 6329280
| Language | Label | Description | Also known as |
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| English | Spectral asymptotics for magnetic Schrödinger operators in domains with corners |
scientific article; zbMATH DE number 6329280 |
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Spectral asymptotics for magnetic Schrödinger operators in domains with corners (English)
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12 August 2014
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Summary: This paper is on magnetic Schrödinger operators in two dimensional domains with corners. Semiclassical formulas are obtained for the sum and number of eigenvalues. The obtained results extend former formulas for smooth domains in [\textit{R. L. Frank}, Proc. Lond. Math. Soc. (3) 95, No. 1, 1--19 (2007; Zbl 1131.35076)] and [\textit{S. Fournais} and the first author, J. Lond. Math. Soc., II. Ser. 80, No. 1, 233--255 (2009; Zbl 1179.35203)] to piecewise smooth domains.
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spectral theory
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Schrödinger operator
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semiclassical analysis
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piecewise smooth domains
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