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Bibliographic Details
Main Author: Atakishiyev, Natig
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2501.00148
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Table of Contents:
  • A simple analytic approach to the evaluation of the eigenvalues and eigenvectors f_n of the 5D discrete number operator N_5 is formulated. This approach is essentially based on the symmetry of the intertwining operators with respect to the discrete reflection operator. A procedure for the sparsealization of the intertwining operators has been developed, which made it possible to establish a discrete analog of the well-known continuous case formula. A discrete analog for the eigenvectors f_n of another continuous case formula is constructed in the Newtonian basis polynomials, times the lowest eigenvector f_0.