- 00-198 Shu Nakamura
- A Remark on the Dirichlet-Neumann Decoupling and the Integrated Density of States
Apr 24, 00
(auto. generated ps),
of related papers
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.