Scattering problems of impulsive Schrodinger equations with matrix coefficients

Cebesoy S., Bairamov E., AYGAR KÜÇÜKEVCİLİOĞLU Y.

RICERCHE DI MATEMATICA, cilt.72, sa.1, ss.399-415, 2023 (SCI-Expanded) identifier identifier

  • 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.