On a Discrete Number Operator Associated with the 5D Discrete Fourier Transform

DOI10.1007/978-3-319-32857-7_26zbMath1355.39027OpenAlexW2517723128MaRDI QIDQ2954433

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Publication date: 13 January 2017

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-32857-7_26

zbMATH Keywords

discrete Fourier transformdifference operatorraising and lowering operatorsquantum number operator5D eigenvectors

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Numerical methods for discrete and fast Fourier transforms (65T50) Difference operators (39A70) Linear difference operators (47B39)

Related Items (2)

On the Discrete Fourier Transform Eigenvectors and Spontaneous Symmetry Breaking ⋮ On supersymmetric eigenvectors of the 5D discrete Fourier transform

Cites Work

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• The eigenvectors of the discrete Fourier transform: A version of the Hermite functions
• Intertwining relations between the Fourier transform and discrete Fourier transform, the related functional identities and beyond
• ON q-EXTENSIONS OF MEHTA'S EIGENVECTORS OF THE FINITE FOURIER TRANSFORM
• Eigenvectors and functions of the discrete Fourier transform
• Eigenvalues and eigenvectors of the finite Fourier transform
• Is computing with the finite Fourier transform pure or applied mathematics?
• Shifted Fourier Matrices and Their Tridiagonal Commutors
• Some cyclotomic matrices

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