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On supersymmetric eigenvectors of the 5D discrete Fourier transform

In: Physical and Mathematical Aspects of Symmetries

Author

Listed:
  • M. K. Atakishiyeva

    (Universidad Autónoma del Estado de Morelos, Centro de Investigación en Ciencias)

  • N. M. Atakishiyev

    (Universidad Nacional Autónoma de México, Instituto de Matemáticas, Unidad Cuernavaca)

Abstract

An explicit form of a discrete analogue of the quantum number operator, constructed in terms of the lowering and raising difference operators that govern eigenvectors of the 5D discrete (finite) Fourier transform Φ(5) has been explored. This discrete number operatorN (5) has distinct eigenvalues which are employed to systematically classify eigenvectors of the Φ (5), thus avoiding the ambiguity caused by the well-known degeneracy of the eigenvalues of the latter operator. In addition, we show that the hidden symmetry of the discrete number operator N (5) manifests itself in the form of the unitary Lie superalgebra psl(5|5).

Suggested Citation

  • M. K. Atakishiyeva & N. M. Atakishiyev, 2017. "On supersymmetric eigenvectors of the 5D discrete Fourier transform," Springer Books, in: Sergio Duarte & Jean-Pierre Gazeau & Sofiane Faci & Tobias Micklitz & Ricardo Scherer & Francesco To (ed.), Physical and Mathematical Aspects of Symmetries, pages 99-104, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-69164-0_14
    DOI: 10.1007/978-3-319-69164-0_14
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