Trace formulae for Schrödinger operators with complex-valued potentials on cubic lattices

Evgeny Korotyaev, Ari Laptev

Research output

3 Citations (Scopus)

Abstract

We consider a class of Schrödinger operators with complex decaying potentials on the lattice. Using some classical results from complex analysis we obtain some trace formulae and use them to estimate zeros of the Fredholm determinant in terms of the potential.

Original languageEnglish
Pages (from-to)453-475
Number of pages23
JournalBulletin of Mathematical Sciences
Volume8
Issue number3
DOIs
Publication statusPublished - 1 Dec 2018

Scopus subject areas

  • Mathematics(all)

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