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

Ángel Salazar; Quray Potosí; David Laroze; Laura M. Pérez; Benjamín de Zayas; Clara Rojas

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

Quantum Physics 2026-05-12 v1 High Energy Physics - Theory

Authors: Ángel Salazar , Quray Potosí , David Laroze , Laura M. Pérez , Benjamín de Zayas , Clara Rojas

Abstract

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.

Keywords

Klein-Gordon equation alpha-attractor potential superradiance log derivative method reflection coefficient

Cite

@article{arxiv.2605.10497,
  title  = {Study of the Superradiance Phenomenon in the $\alpha$--attractor Potential using the Log Derivative Method},
  author = {Ángel Salazar and Quray Potosí and David Laroze and Laura M. Pérez and Benjamín de Zayas and Clara Rojas},
  journal= {arXiv preprint arXiv:2605.10497},
  year   = {2026}
}

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14 pages, 6 figures

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

Abstract

Keywords

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