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Groupoids, von Neumann Algebras and the Integrated Density of States

✍ Scribed by Daniel Lenz; Norbert Peyerimhoff; Ivan Veselić

Publisher
Springer Netherlands
Year
2007
Tongue
English
Weight
778 KB
Volume
10
Category
Article
ISSN
1385-0172

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A Remark on the Dirichlet–Neumann Decoup
A Remark on the Dirichlet–Neumann Decoupling and the Integrated Density of States
✍ Shu Nakamura 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 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