Semiclassical resonance asymptotics for the delta potential on the half line

Datchev, Kiril; Malawo, Nkhalo

doi:10.1090/proc/16001

Semiclassical resonance asymptotics for the delta potential on the half line
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by Kiril Datchev and Nkhalo Malawo

Proc. Amer. Math. Soc. 150 (2022), 4909-4921

DOI: https://doi.org/10.1090/proc/16001

Published electronically: June 16, 2022

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Abstract:

We compute resonance width asymptotics for the delta potential on the half-line, by deriving a formula for resonances in terms of the Lambert W function and applying a series expansion. This potential is a simple model of a thin barrier, motivated by physical problems such as quantum corrals and leaky quantum graphs.

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