Resonances for the Dirac Operator on the Half-Line
Funkcionalʹnyj analiz i ego priloženiâ, Tome 55 (2021) no. 4, pp. 91-94
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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.
@article{FAA_2021_55_4_a6,
author = {E. L. Korotyaev and D. S. Mokeev},
title = {Resonances for the {Dirac} {Operator} on the {Half-Line}},
journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
pages = {91--94},
publisher = {mathdoc},
volume = {55},
number = {4},
year = {2021},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FAA_2021_55_4_a6/}
}
E. L. Korotyaev; D. S. Mokeev. Resonances for the Dirac Operator on the Half-Line. Funkcionalʹnyj analiz i ego priloženiâ, Tome 55 (2021) no. 4, pp. 91-94. http://geodesic.mathdoc.fr/item/FAA_2021_55_4_a6/