Semiclassical resonance asymptotics for the delta potential on the half line
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- by Kiril Datchev and Nkhalo Malawo PDF
- Proc. Amer. Math. Soc. 150 (2022), 4909-4921 Request permission
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.References
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Additional Information
- Kiril Datchev
- Affiliation: Department of Mathematics, Purdue University, West Lafayette, Indiana 47907-2067
- MR Author ID: 860651
- Email: kdatchev@purdue.edu
- Nkhalo Malawo
- Affiliation: Department of Mathematics, Purdue University, West Lafayette, Indiana 47907-2067
- ORCID: 0000-0001-5594-0620
- Email: nkhalom@protonmail.com
- Received by editor(s): August 23, 2021
- Received by editor(s) in revised form: January 4, 2022
- Published electronically: June 16, 2022
- Additional Notes: The first author was supported in part by NSF grant DMS-1708511. The second author was supported in part by an REU Grant from the Purdue Math Department Tong Endowment.
- Communicated by: Tanya Christiansen
- © Copyright 2022 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 150 (2022), 4909-4921
- MSC (2020): Primary 81U24; Secondary 81Q20
- DOI: https://doi.org/10.1090/proc/16001
- MathSciNet review: 4489322