Scattering problems of impulsive Schrödinger equations with matrix coefficients.

Autor: Cebesoy, Serifenur, Bairamov, Elgiz, Aygar, Yelda
Zdroj: Ricerche di Matematica; Jun2023, Vol. 72 Issue 1, p399-415, 17p
Abstrakt: In this paper, we set an impulsive boundary value problem for matrix valued Schrödinger equation on the semi axis. We first introduce some solutions of mentioned problem so that we can obtain Jost solution, Jost function, scattering function and resolvent of corresponding impulsive operator. Moreover, investigating analytical and asymptotic properties of the Jost solution enables us to find the discrete spectrum of matrix Schrödinger operator and to study characteristic properties of the scattering matrix. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index