The spectrum of schrödinger operators with poisson type random potential

Kazunori Ando, Akira Iwatsuka, Masahiro Kaminaga, Fumihiko Nakano

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)

Abstract

We consider the Schrödinger 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, ∞) if the single-site potential is nonnegative, and is equal to 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. Communicated by Jean Bellissard.

Original languageEnglish
Pages (from-to)145-160
Number of pages16
JournalAnnales Henri Poincare
Volume7
Issue number1
DOIs
Publication statusPublished - 2006 Jan
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Nuclear and High Energy Physics
  • Mathematical Physics

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