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A Remark on the Dirichlet–Neumann Decoupling and the Integrated Density of States

✍ Scribed by Shu Nakamura

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
165 KB
Volume
179
Category
Article
ISSN
0022-1236

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✦ Synopsis

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 independent of the choice of boundary conditions.

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