Scalar field in Reissner-Nordström spacetime: Bound state and scattering state
arXiv:1902.01054 · doi:10.1016/j.aop.2021.168578
Abstract
In this paper, we solve the massive scalar field in the Reissner-Nordström spacetime. The scalar field in the Reissner-Nordström 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-Nordström spacetime.
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- Eliminating oscillation in partial sum approximation of periodic function
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