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

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 R and the transmission coefficient 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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