Study of the Superradiance Phenomenon in the $α$--attractor Potential using the Log Derivative Method

• URL: http://arxiv.org/abs/2605.10497v1
• Date: Mon, 11 May 2026 12:54:56 GMT
• Title: Study of the Superradiance Phenomenon in the $α$--attractor Potential using the Log Derivative Method
• Abstract summary: We calculated the reflection coefficient $mathcalR$ and the transmission coefficient $mathcalT$, showing that the superradiance phenomenon is present.<n>In order to demonstrate the accuracy of our method, we performed a comparison with the analytical solution for the hyperbolic tangent potential.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this article, we solved the time--independent one--dimensional Klein--Gordon equation in the presence of $α$--attractor potential using the Log derivative method. We calculated the reflection coefficient $\mathcal{R}$ and the transmission coefficient $\mathcal{T}$, showing that the superradiance phenomenon is present. In order to demonstrate the accuracy of our method, we performed a comparison with the analytical solution for the hyperbolic tangent potential.

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