Hyperboloidal method for quasinormal modes of non-relativistic operators

Christopher Dean Burgess; Friedrich Ernst Wilhelm Koenig

doi:10.3389/fphy.2024.1457543

Hyperboloidal method for quasinormal modes of non-relativistic operators

Christopher Dean Burgess, Friedrich Ernst Wilhelm Koenig^*

^*Corresponding author for this work

School of Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Article number	1457543
Number of pages	7
Journal	Frontiers in Physics
Volume	12
DOIs	https://doi.org/10.3389/fphy.2024.1457543
Publication status	Published - 4 Sept 2024

Keywords

Quasinormal modes (QNMs)
Optical soliton
Numerical method
Black hole spectroscopy
Spectral instability
Schrödinger equation

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10.3389/fphy.2024.1457543Licence: CC BY

Burgess-2024-Hyperboloidal-method-for-quasinormal-FPHY-12-1457543-CCBY
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) and the copyright owner(s) 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.
Final published version, 1.03 MBLicence: CC BY

https://arxiv.org/pdf/2407.01487Licence: CC BY

Quantum Simulators for Fundamental: Quantum Simulators for Fundamental Physics
Koenig, F. E. W. (PI)
Science & Technology Facilities Council
1/04/24 → 31/03/25
Project: Standard

Hyperboloidal Method for Quasinormal Modes of Non-Relativistic Operators (dataset)
Burgess, C. D. (Creator) & Koenig, F. E. W. (Creator), University of St Andrews, 5 Sept 2024
DOI: 10.17630/61aeab90-f629-41b8-bb36-e4df8ac40150
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Cite this

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abstract = "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 Schr{\"o}dinger 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, Schr{\"o}dinger equation",

author = "Burgess, {Christopher Dean} and Koenig, {Friedrich Ernst Wilhelm}",

note = "This work was supported in part by the Science and Technology Facilities Council through the UKRI Quantum Technologies for Fundamental Physics Programme [Grant ST/T005866/1]. CB was supported by the UK Engineering and Physical Sciences Research Council [Grant EP/T518062/1].",

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AU - Koenig, Friedrich Ernst Wilhelm

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N2 - 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.

AB - 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.

KW - Quasinormal modes (QNMs)

KW - Optical soliton

KW - Numerical method

KW - Black hole spectroscopy

KW - Spectral instability

KW - Schrödinger equation

U2 - 10.3389/fphy.2024.1457543

DO - 10.3389/fphy.2024.1457543

M3 - Article

SN - 2296-424X

VL - 12

JO - Frontiers in Physics

JF - Frontiers in Physics

M1 - 1457543

ER -

Hyperboloidal method for quasinormal modes of non-relativistic operators

Abstract

Keywords

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Quantum Simulators for Fundamental: Quantum Simulators for Fundamental Physics

Datasets

Hyperboloidal Method for Quasinormal Modes of Non-Relativistic Operators (dataset)

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