https://doi.org/10.1140/epjc/s10052-025-14223-9
Regular Article - Theoretical Physics
An approach to quasinormal modes of black hole based on reversed harmonic oscillator dynamics
1
Department of Physics, College of Science and Technology, Nihon University, 101-8308, Tokyo, Japan
2
Junior College, Funabashi Campus, Nihon University, 274-8501, Chiba, Japan
Received:
3
December
2024
Accepted:
24
April
2025
Published online:
12
May
2025
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.
© The Author(s) 2025
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