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

• Datum: 2026
• Hauptverfasser: Adamyan, V., Адамян, Вадим
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2026
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/9170
• Назва журналу: 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...