In the paper, we consider a one-dimensional difference Schrödinger equation ψ(z+h)+ψ(z−h)+ λυ(z)ψ(z) = Eψ(z) with a periodic potential υ. In the case where the potential in a neighborhood of R is real analytic, as well as in the case where, the potential has a finite number of simple poles per period, for small values of the coupling constant λ, we describe the asymptotics of a monodromy matrix.
Original languageEnglish
Pages (from-to)650-664
Number of pages15
JournalJournal of Mathematical Sciences (United States)
Volume283
Issue number4
DOIs
StatePublished - 1 Aug 2024

    Scopus subject areas

  • Mathematics(all)

ID: 123004069