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Hamiltonians on discrete structures: jumps of the integrated density of states and uniform convergence

✍ Scribed by Daniel Lenz; Ivan Veselić


Publisher
Springer-Verlag
Year
2008
Tongue
French
Weight
309 KB
Volume
263
Category
Article
ISSN
0025-5874

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A Remark on the Dirichlet–Neumann Decoup
✍ 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