Scattering problems of impulsive Schrodinger equations with matrix coefficients
RICERCHE DI MATEMATICA, cilt.72, sa.1, ss.399-415, 2023 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 72 Sayı: 1
- Basım Tarihi: 2023
- Doi Numarası: 10.1007/s11587-022-00736-y
- Dergi Adı: RICERCHE DI MATEMATICA
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
- Sayfa Sayıları: ss.399-415
- Anahtar Kelimeler: Impulsive conditions, Schrodinger equations, Jost solution, Scattering matrix, Eigenvalues, Spectral singularities, SPECTRAL-ANALYSIS
- Ankara Üniversitesi Adresli: Evet
Özet
In this paper, we set an impulsive boundary value problem for matrix valued Schrodinger 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 Schrodinger operator and to study characteristic properties of the scattering matrix.