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In this work we derive the asymptotic quasi-normal modes of a BTZ black holeusing a quantum field theoretic Lagrangian. The BTZ black hole is a verypopular system in the context of $2+1$-dimensional quantum gravity. However toour knowledge the quasi-normal modes of the BTZ black hole have been studiedonly in the classical domain. Here we show a way to quantize the quasi-normalmodes of the BTZ black hole by mapping it to the Bateman-Feschbach-Tikochinskyoscillator and the Caldirola-Kanai oscillator. We have also discussed a coupleof other black hole potentials to which this method can be applied

An approach to the quantization of black-hole quasi-normal modes