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Article
Spectral Analysis of an Impulsive Quantum Difference Operator
Mathematical Methods in the Applied Sciences
  • Martin Bohner, Missouri University of Science and Technology
  • Serifenur Cebesoy
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
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2018 John Wiley & Sons, All rights reserved.
Publication Date
11-15-2019
Publication Date
15 Nov 2019
Disciplines
Citation Information
Martin Bohner and Serifenur Cebesoy. "Spectral Analysis of an Impulsive Quantum Difference Operator" Mathematical Methods in the Applied Sciences Vol. 42 Iss. 16 (2019) ISSN: 0170-4214; 1099-1476
Available at: http://works.bepress.com/martin-bohner/182/