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Hyperboloidal Method for Quasinormal Modes of Non-Relativistic Operators

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arxiv 2407.01487 v4 pith:5EHL2XJ2 submitted 2024-07-01 physics.comp-ph gr-qcphysics.optics

Christopher Burgess , Friedrich Koenig This is my paper · ORCID
classification physics.comp-phgr-qcphysics.optics
keywords methodmodesquasinormalnon-relativistichyperboloidalblackbound-statecalculate
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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\"odinger 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.

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  1. Bound States of the Schwarzschild Black Hole

    gr-qc 2025-05 conditional novelty 6.0 of 10

    The bound states of the inverted Regge-Wheeler potential are exponentially condensed near zero energy and strongly delocalized, linking black hole overtone instability to long-range potential features.

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