Computing resonances of perturbed Schr\"odinger equations: Application to Reissner-Norsdtr\"om-de Sitter black holes (opens in new tab)

We present a numerical method for computing resonances of one-dimensional Schr\"odinger equations perturbed by a compactly supported potential, via finding zeros of the Wronskian associated with Jost solutions of the reference equation, computed through the resolution of Cauchy problems. All resonances located in a given domain are found efficiently using a defeated Newton algorithm. A key ingredient of the method is the choice of reference pote...