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Inverse resonance scattering for massless Dirac operators on the real line. / Korotyaev , Evgeny; Mokeev , Dmitrii.
в: Asymptotic Analysis, 2022, стр. 1-48.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Inverse resonance scattering for massless Dirac operators on the real line
AU - Korotyaev , Evgeny
AU - Mokeev , Dmitrii
PY - 2022
Y1 - 2022
N2 - We consider massless Dirac operators on the real line with compactly supported potentials. We solve two inverse problems: in terms of zeros of reflection coefficient and in terms of poles of reflection coefficients (i.e. resonances). Moreover, we prove the following: 1) a zero of the reflection coefficient can be arbitrarily shifted, such that we obtain the sequence of zeros of the reflection coefficient for another compactly supported potential, 2) the set of “isoresonance potentials” is described, 3) the forbidden domain for resonances is estimated, 4) asymptotics of the resonances counting function is determined, 5) these results are applied to canonical systems.
AB - We consider massless Dirac operators on the real line with compactly supported potentials. We solve two inverse problems: in terms of zeros of reflection coefficient and in terms of poles of reflection coefficients (i.e. resonances). Moreover, we prove the following: 1) a zero of the reflection coefficient can be arbitrarily shifted, such that we obtain the sequence of zeros of the reflection coefficient for another compactly supported potential, 2) the set of “isoresonance potentials” is described, 3) the forbidden domain for resonances is estimated, 4) asymptotics of the resonances counting function is determined, 5) these results are applied to canonical systems.
UR - https://content.iospress.com/articles/asymptotic-analysis/asy221786#b
M3 - Article
SP - 1
EP - 48
JO - Asymptotic Analysis
JF - Asymptotic Analysis
SN - 0921-7134
ER -
ID: 100577927