Hyperboloidal Method for Quasinormal Modes of Non-Relativistic Operators
arXiv:2407.01487 · doi:10.3389/fphy.2024.1457543
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.
9 pages, 2 figures
References in corpus (9)
- Hyperboloidal foliations and scri-fixing
- A geometric framework for black hole perturbations
- Modified dispersion relations in extra dimensions
- Analytical computation of quasi-normal modes of slowly-rotating black-holes in dCS gravity
- Quasi-normal frequencies: Key analytic results
- Gravitational perturbations of Schwarzschild spacetime at null infinity and the hyperboloidal initial value problem
- Pseudospectrum of de Sitter black holes
- Lessons from black hole quasinormal modes in modified gravity
- Quasinormal modes of generalized Pöschl-Teller potentials