00-198 Shu Nakamura
A Remark on the Dirichlet-Neumann Decoupling and the Integrated Density of States (278K, Postscript) Apr 24, 00
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Abstract. We prove an estimate on the difference of the number of eigenvalues for Schr\"odinger 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 ofstates is independent of the choice of boundary conditions.

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