On the S-matrix of Schrödinger operator with nonlocal δ-interaction

Schrödinger operators with nonlocal \(\delta\)-interaction are studied with the use of the Lax-Phillips scattering theory methods. The condition of applicability of the Lax-Phillips approach in terms of non-cyclic functions is established. Two formulas for the \(S\)-matrix are obtained. The first on...

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Bibliographic Details
Main Authors: Anna Główczyk, Sergiusz Kużel
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2021-04-01
Series:Opuscula Mathematica
Subjects:
Online Access:https://www.opuscula.agh.edu.pl/vol41/3/art/opuscula_math_4120.pdf