The Density of States and the Spectral Shift Density of Random Schr¨odinger Operators

@inproceedings{KostrykinTheDO,
  title={The Density of States and the Spectral Shift Density of Random Schr¨odinger Operators},
  author={V Kostrykin and Robert Schrader}
}
In this article we continue our analysis of Schrödinger operators with a random potential using scattering theory. In particular the theory of Krein's spectral shift function leads to an alternative construction of the density of states in arbitrary dimensions. For arbitrary dimension we show existence of the spectral shift density, which is defined as the… CONTINUE READING