05-125 Kazunori Ando, Akira Iwatsuka, Masahiro Kaminaga and Fumihiko Nakano

The spectrum of Schroedinger operators with Poisson type random potential (46K, LaTeX) Apr 7, 05

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Abstract. We consider the Schroedinger operator with Poisson type random potential, and derive the spectrum which is deterministic almost surely. Apart from some exceptional cases, the spectrum is equal to $[0, \infty)$ if the single-site potential is non-negative, and is equal to ${\bf R}$ if the negative part of it does not vanish with positive probability, which is consistent with the naive observation. To prove that, we use the theory of admissible potential and the Weyl asymptotics.

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