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arXiv · 1902.01054

Scalar field in Reissner-Nordstr\"om spacetime: Bound state and scattering state

Shi-Lin Li·Yuan-Yuan Liu·Wen-Du Li·Wu-Sheng Dai
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Abstract

In this paper, we solve the massive scalar field in the Reissner-Nordstr\"om spacetime. The scalar field in the Reissner-Nordstr\"om spacetime has both bound states and scattering states. For bound states, we solve the bound-state wave function and the eigenvalue spectrum. For scattering states, we solve the scattering wave function and give an explicit expression for scattering phase shift by the integral equation method. Especially, we introduce the tortoise coordinate for the Reissner-Nordstr\"om spacetime.

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Shi-Lin Li, Yuan-Yuan Liu, Wen-Du Li, Wu-Sheng Dai. 2019-02-04. Scalar field in Reissner-Nordstr\"om spacetime: Bound state and scattering state. https://doi.org/10.1016/j.aop.2021.168578

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