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

In this article, we solved the time–independent one–dimensional Klein–Gordon equation in the presence of $\alpha$–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.