半线上狄拉克算子的共振

IF 0.6 4区数学 Q3 MATHEMATICS

Functional Analysis and Its Applications Pub Date : 2022-03-17 DOI:10.1134/S0016266321040079

E. L. Korotyaev, D. S. Mokeev

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引用次数: 0

摘要

我们考虑了半线上无质量狄拉克算子的逆问题，使得其势的支持有固定的上界，并用Jost函数和散射矩阵来求解。我们证明了这样一个算子的势是唯一地由它的共振决定的。

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Resonances for the Dirac Operator on the Half-Line

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.

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来源期刊

Functional Analysis and Its Applications 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Functional Analysis and Its Applications publishes current problems of functional analysis, including representation theory, theory of abstract and functional spaces, theory of operators, spectral theory, theory of operator equations, and the theory of normed rings. The journal also covers the most important applications of functional analysis in mathematics, mechanics, and theoretical physics.