On spl (5, 5) super-symmetric Eigen vectors of the 5D discrete Fourier transform

International Conference on Atomic and Nuclear Physics

November 17-18, 2016 Atlanta, USA

Natig Atakishiyev

Universidad Nacional Aut�³noma de M�©xico, M�©xico

Posters & Accepted Abstracts: J Astrophys Aerospace Technol

Abstract :

An explicit form of a discrete analogue of the quantum number operator is constructed in terms of the different lowering and raising operators that govern Eigen vectors of the 5D discrete (finite) Fourier transform. This discrete number operator has distinct Eigen values, which are employed to systematically classify Eigen vectors of the 5D discrete Fourier transform, thus avoiding the ambiguity caused by the well-known degeneracy of the Eigen values of the latter operator. It is found that the hidden symmetry of the discrete number operator manifests itself in the form of the Lie super algebra spl (5, 5).

Biography :

Email: natig@matcuer.unam.mx