DOI

We consider the Stark operator perturbed by a compactly supported potential (of a certain class) on the real line. We prove the following results: (a) upper and lower bounds on the number of resonances in complex discs with large radii, (b) the trace formula in terms of resonances only, (c) all resonances determine the potential uniquely.

Original languageEnglish
Pages (from-to)699-732
Number of pages34
JournalJournal of Spectral Theory
Volume70
Issue number3
DOIs
StatePublished - 1 Jan 2017

    Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Geometry and Topology

    Research areas

  • Resonances, Stark operators, Trace formula

ID: 35631040