Resonances In a Box
George A. Hagedorn, Bernhard Meller
TL;DR
This paper introduces a numerical method for accurately approximating quantum resonances, specifically shape resonances, in the semiclassical limit, with rigorous proof of its effectiveness.
Contribution
The paper provides a rigorous proof that the proposed numerical method accurately approximates resonance energies and widths in quantum mechanics.
Findings
Method yields accurate resonance energy approximations
Effective for shape resonances in the semiclassical limit
Rigorous validation of the numerical approach
Abstract
We investigate a numerical method for studying resonances in quantum mechanics. We prove rigorously that this method yields accurate approximations to resonance energies and widths for shape resonances in the semiclassical limit.
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