Spectral analysis of an impulsive quantum difference operator

Abstract

This paper studies spectral analysis and symmetries of quantum difference equations of second order together with an impulsive condition. By determining a transfer matrix, we investigate the locations of the eigenvalues and spectral singularities of an operator corresponding to the q‐difference equation.

Scattering analysis of a quantum impulsive boundary value problem with spectral parameter

“…It is an interesting topic having interconnections with various problems of mathematical physics and quantum mechanics [3,22,24,38]. Moreover, there are some papers about the spectral analysis of q−difference equations in literature [1,[5][6][7]16]. As a result of this, our paper will contribute to literature in a way of different perspective.…”

Impulsive regular q-Dirac systems

“…Aygar and Bairamov [6] studied the properties of the scattering function of an impulsive q-difference equation. Bohner and Cebesoy In [7] investigated the locations of the eigenvalues and spectral singularities of an operator corresponding to impulsive q-difference equations.…”