A Remark on the DirichletβNeumann Decoup
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Shu Nakamura
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Article
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2001
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Elsevier Science
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English
β 165 KB
We prove an estimate on the difference of the number of eigenvalues for Schro dinger operators with Dirichlet and Neumann boundary conditions in large boxes. In the proof, we use Krein's theory of the spectral shift function. As an application, we show that the integrated density of states is indepe