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Brief communications
Resonances for the Dirac Operator on the Half-Line
E. L. Korotyaeva, D. S. Mokeevb a Saint Petersburg State University
b National Research University "Higher School of Economics", St. Petersburg Branch
Abstract:
We consider the inverse problem for a massless Dirac operator on the half-line such that the support of
its potential has fixed upper boundary and solve it in terms
of a Jost function and a scattering matrix.
We prove that the potential of such an operator is uniquely determined by its resonances.
Keywords:
Dirac operator, inverse problem, resonance.
Received: 20.10.2020 Revised: 09.06.2021 Accepted: 19.06.2021
Citation:
E. L. Korotyaev, D. S. Mokeev, “Resonances for the Dirac Operator on the Half-Line”, Funktsional. Anal. i Prilozhen., 55:4 (2021), 91–94; Funct. Anal. Appl., 55:4 (2021), 326–329
Linking options:
https://www.mathnet.ru/eng/faa3852https://doi.org/10.4213/faa3852 https://www.mathnet.ru/eng/faa/v55/i4/p91
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Abstract page: | 253 | Full-text PDF : | 59 | References: | 27 | First page: | 26 |
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