Spectral Analysis of an Impulsive Quantum Difference Operator
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.
M. Bohner and S. Cebesoy, "Spectral Analysis of an Impulsive Quantum Difference Operator," Mathematical Methods in the Applied Sciences, vol. 42, no. 16, John Wiley & Sons, Nov 2019.
The definitive version is available at https://doi.org/10.1002/mma.5348
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)
Article - Journal
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15 Nov 2019