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PERSPECTIVE article

Front. Phys.
Sec. Interdisciplinary Physics
Volume 12 - 2024 | doi: 10.3389/fphy.2024.1457543
This article is part of the Research Topic Quasi-Normal Modes, Non-Selfadjoint Operators and Pseudospectrum: an Interdisciplinary Approach View all articles

Hyperboloidal Method for Quasinormal Modes of Non-Relativistic Operators

Provisionally accepted
Christopher Burgess Christopher Burgess Friedrich König Friedrich König *
  • University of St Andrews, St Andrews, United Kingdom

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

    The recently reported compactified hyperboloidal method has found wide use in the numerical computation of quasinormal modes, with implications for fields as diverse as gravitational physics and optics. We extend this intrinsically relativistic method into the non-relativistic domain, demonstrating its use to calculate the quasinormal modes of the Schrödinger equation and solve related bound-state problems. We also describe how to further generalize this method, offering a perspective on the importance of non-relativistic quasinormal modes for the programme of black hole spectroscopy.

    Keywords: quasinormal modes (QNMs), optical soliton, Numerical method, Black hole spectroscopy, Spectral instability, Schrödinger equation

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

    Copyright: © 2024 Burgess and König. 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: Friedrich König, University of St Andrews, St Andrews, United Kingdom

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