Semiclassical resonance asymptotics for the delta potential on the half line

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 lea...

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Bibliographic Details
Published in:arXiv.org 2022-01
Main Authors: Datchev, Kiril, Malawo, Nkhalo
Format: Article
Language:English
Subjects:
Asymptotic properties
Resonance
Series expansion
Online Access:Get full text
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Summary: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.
ISSN:2331-8422