Hyperboloidal Method for Quasinormal Modes of Non-Relativistic Operators

Fuente: arXiv
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Main Authors: Burgess, Christopher, Koenig, Friedrich
Format: Preprint
Published: 2024
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author Burgess, Christopher
Koenig, Friedrich
author_facet Burgess, Christopher
Koenig, Friedrich
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2407_01487
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Hyperboloidal Method for Quasinormal Modes of Non-Relativistic Operators
Burgess, Christopher
Koenig, Friedrich
Computational Physics
General Relativity and Quantum Cosmology
Optics
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.
title Hyperboloidal Method for Quasinormal Modes of Non-Relativistic Operators
topic Computational Physics
General Relativity and Quantum Cosmology
Optics
url https://arxiv.org/abs/2407.01487