论文标题
狄拉克共振的稳定性
Stability of Dirac resonances
论文作者
论文摘要
我们证明，与$ \ ell^1 $扰动相对于$ \ ell^1 $扰动，狄拉克操作员在半线上的共振等级是关闭的。我们还证明了潜力不断取决于这种扰动。我们表明，类似的结果适用于与狄拉克运营商相关的JOST功能和Hermite-Biehler功能。
We prove that the class of resonances of Dirac operators on the half-line with compactly supported potentials is closed with respect to $\ell^1$ perturbations. We also prove that the potential depends continuously on such perturbations. We show that similar results hold true for the Jost functions and Hermite-Biehler functions associated with Dirac operators.
