On supersymmetric eigenvectors of the 5D discrete Fourier transform

M. K. Atakishiyeva () and N. M. Atakishiyev ()
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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

A chapter in Physical and Mathematical Aspects of Symmetries, 2017, pp 99-104 from Springer

Abstract: 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).

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-69164-0_14

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DOI: 10.1007/978-3-319-69164-0_14

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