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

• URL: http://arxiv.org/abs/2412.09274v1
• Date: Thu, 12 Dec 2024 13:35:44 GMT
• Title: An approach to quasinormal modes of black hole based on reversed harmonic oscillator dynamics
• Abstract summary: frequencies of quasinormal modes (QNM) for the Schwartzschild black hole are studied.<n>The transmission and reflection coefficients are studied in addition to the frequencies of QNMs.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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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