Direct and inverse resonance problems for the massless Dirac operator on the half line

Direct and inverse resonance problems for the massless Dirac operator on the half line

For the direct problem, we give the asymptotic distribution of the resonances in the complex plane. For the inverse problem, we prove several uniqueness theorems of recovering the potential on the whole interval from partial resonances and the information of the potential on a subinterval.

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Veröffentlicht in:Journal of mathematical physics 2024-03, Vol.65 (3)
Hauptverfasser: Xu, Xiao-Chuan, Zuo, Ting-Ting
Format: Artikel
Sprache:eng
Schlagworte:
Inverse problems
Uniqueness theorems
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Beschreibung
Zusammenfassung:For the direct problem, we give the asymptotic distribution of the resonances in the complex plane. For the inverse problem, we prove several uniqueness theorems of recovering the potential on the whole interval from partial resonances and the information of the potential on a subinterval.
ISSN:0022-2488
1089-7658
DOI:10.1063/5.0166326