Fluctuation of Density of States for 1d Schrödinger Operators

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2 Citations (Scopus)

Abstract

We consider the 1d Schrödinger operator with random decaying potential and compute the 2nd term asymptotics of the density of states, which shows substantial differences between the cases α>12, α<12 and α=12.

Original languageEnglish
Pages (from-to)1393-1404
Number of pages12
JournalJournal of Statistical Physics
Volume166
Issue number6
DOIs
Publication statusPublished - 2017 Mar 1

Keywords

  • Global fluctuation
  • Random decaying potentials
  • Schrödinger operators

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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