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Spectral analysis of an impulsive quantum difference operator
Author(s) -
Bohner Martin,
Cebesoy Serifenur
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5348
Subject(s) - mathematics , eigenvalues and eigenvectors , operator (biology) , spectral analysis , quantum , gravitational singularity , mathematical analysis , homogeneous space , mathematical physics , quantum mechanics , physics , geometry , biochemistry , chemistry , repressor , spectroscopy , transcription factor , gene
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.