论文标题
半线的狄拉克操作员的逆共振散射
Inverse resonance scattering for Dirac operators on the half-line
论文作者
论文摘要
我们认为在半线上具有紧凑型电势。我们根据jost函数和散射矩阵（包括表征）解决了反问题。我们将共鸣作为JOST功能的零进行研究，并证明潜力是由其共振唯一决定的。此外，我们证明了以下内容： 1）共振是自由参数，潜在的连续参数取决于共振， 2）估计有共振的禁止域， 3）确定共振计数函数的渐近学， 4）这些结果应用于规范系统。
We consider massless Dirac operators on the half-line with compactly supported potentials. We solve the inverse problems in terms of Jost function and scattering matrix (including characterization). We study resonances as zeros of Jost function and prove that a potential is uniquely determined by its resonances. Moreover, we prove the following: 1) resonances are free parameters and a potential continuously depends on a resonance, 2) the forbidden domain for resonances is estimated, 3) asymptotics of resonance counting function is determined, 4) these results are applied to canonical systems.
