The eigenvalues and eigenvectors of the 5D discrete Fourier transform number operator revisited

Abstract

A systematic analytic approach to the evaluation of the eigenvalues and eigenvectors of the 5D discrete number operator N_5 is formulated. This approach is essentially based on the use of the symmetricity of 5D discrete Fourier transform operator fi_5 with respect to the discrete reflection operator P_d.

Keywords

• discrete Fourier transform
• number operator
• eigenvalues and eigenvectors

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