Scattering matrices for perturbations of Laplace operator by infinite sums of zero-range potentials

• Date: 2026
• Main Authors: Adamyan, V., Адамян, Вадим
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2026
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/9170
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.983, 517.984 We study the resolvents and scattering matrices for the following pairs of unbounded self-adjoint operators in $\mathbb{L}_{2}(\mathbf{R}_{3})$: the standard Laplace operator $A$ and its self-adjoint perturbation, which rigorously realizes the formal sum of $A$ with linear combi...