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arXiv · 2412.09274

An approach to quasinormal modes of black hole based on reversed harmonic oscillator dynamics

Shigefumi Naka·Haruki Toyoda
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Abstract

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.

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Shigefumi Naka, Haruki Toyoda. 2024-12-12. An approach to quasinormal modes of black hole based on reversed harmonic oscillator dynamics. https://arxiv.org/abs/2412.09274

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