Pseudomodes for Schrödinger operators with complex potentials

David Krejčiřík, Petr Siegl

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)
98 Downloads (Pure)

Abstract

For one-dimensional Schrödinger operators with complex-valued potentials, we construct pseudomodes corresponding to large pseudoeigenvalues. We develop a first systematic non-semi-classical approach, which results in a substantial progress in achieving optimal conditions and conclusions as well as in covering a wide class of previously inaccessible potentials, including discontinuous ones. Applications of the present results to higher-dimensional Schrödinger operators are also discussed.
Original languageEnglish
JournalJournal of Functional Analysis
Early online date10 Oct 2018
DOIs
Publication statusEarly online date - 10 Oct 2018

Keywords

  • Pseudospectrum, Schrödinger operators, Complex potential, WKB

Fingerprint Dive into the research topics of 'Pseudomodes for Schrödinger operators with complex potentials'. Together they form a unique fingerprint.

Cite this