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BRIEF RESEARCH REPORT article

Front. Phys.
Sec. High-Energy and Astroparticle Physics
Volume 12 - 2024 | doi: 10.3389/fphy.2024.1479658
This article is part of the Research Topic Quasi-Normal Modes, Non-Selfadjoint Operators and Pseudospectrum: an Interdisciplinary Approach View all 7 articles

Pseudomodes of Schr ödinger operators

Provisionally accepted
David Krejcirik David Krejcirik 1*Petr Siegl Petr Siegl 2
  • 1 Czech Technical University in Prague, Prague 6, Czechia
  • 2 Graz University of Technology, Graz, Styria, Austria

The final, formatted version of the article will be published soon.

    Pseudomodes of non-self-adjoint Schroedinger operators corresponding to large pseudo\-eigenvalues are constructed. The approach is non-semiclassical and extendable to other types of models including the damped wave equation and Dirac operators.

    Keywords: Pseudospectrum, Non-self-adjointness, Schr ödinger operators, Complex potentials, WKB method

    Received: 12 Aug 2024; Accepted: 30 Sep 2024.

    Copyright: © 2024 Krejcirik and Siegl. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

    * Correspondence: David Krejcirik, Czech Technical University in Prague, Prague 6, Czechia

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