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.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Difference equations; Eigenvalues and eigenfunctions; Transfer matrix method; Difference operators; Eigenvalues; impulsive conditions; Spectral singularities; Symmetries; Spectrum analysis; Quantum difference operator

International Standard Serial Number (ISSN)

0170-4214; 1099-1476

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2018 John Wiley & Sons, All rights reserved.

Publication Date

15 Nov 2019

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