• Anderson model with decaying randomness existence of extended states

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      https://www.ias.ac.in/article/fulltext/pmsc/100/03/0285-0294

    • Keywords

       

      Anderson model; decaying randomness; extended states

    • Abstract

       

      We study the Anderson model with decaying randomness inv ≥ 3 dimensions and show that there is absolutely continuous spectrum in [−2v, 2v]. The distribution of the potentials is assumed to have finite variance and the coupling constants decay at infinity at a rate α > 1.

    • Author Affiliations

       

      M Krishna1

      1. The Institute of Mathematical Sciences, Taramani, Madras - 600113, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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