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

Abstract

In this article, we solve the time–independent one–dimensional Klein–Gordon equation in the presence of [Formula: see text]–attractor potential using the Log derivative method. We calculate the reflection coefficient [Formula: see text] and the transmission coefficient [Formula: see text], showing that the superradiance phenomenon is present. In order to demonstrate the accuracy of our method, we perform a comparison with the analytical solution for the hyperbolic tangent potential.