The frequencies of quasinormal modes (QNM) for the Schwartzschild black hole are studied from the viewpoint of the particle scattering under an effective Regge-Wheeler type of potential consisting of a parabolic type one in an intermediate region and flat potentials on both sides. In particular, we use the eigenstates for a reversed harmonic oscillator as the complete bases in this intermediate region. Under this setting, the transmission and reflection coefficients are studied in addition to the frequencies of QNMs.
@article{arxiv.2412.09274,
title = {An approach to quasinormal modes of black hole based on reversed harmonic oscillator dynamics},
author = {Shigefumi Naka and Haruki Toyoda},
journal= {arXiv preprint arXiv:2412.09274},
year = {2024}
}