ON q-EXTENSIONS OF MEHTA'S EIGENVECTORS OF THE FINITE FOURIER TRANSFORM

DOI10.1142/S0217751X06031673zbMath1113.81016MaRDI QIDQ3422261

Natig M. Atakishiyev

Publication date: 9 February 2007

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

zbMATH Keywords

finite Fourier transform\(q\)-extensionMehta's eigenvectors

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Quantum computation (81P68) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Numerical methods for discrete and fast Fourier transforms (65T50)

Related Items (6)

On a Discrete Number Operator Associated with the 5D Discrete Fourier Transform ⋮ On the Discrete Fourier Transform Eigenvectors and Spontaneous Symmetry Breaking ⋮ On supersymmetric eigenvectors of the 5D discrete Fourier transform ⋮ An algebraic interpretation of the intertwining operators associated with the discrete Fourier transform ⋮ Unnamed Item ⋮ On eigenfunctions of continuous and discrete (anti)symmetric multivariate Fourier transforms

Cites Work

• On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
• The quantum group SU_q(2) and a q-analogue of the boson operators
• Eigenvalues and eigenvectors of the finite Fourier transform
• The determination of Gauss sums
• Is computing with the finite Fourier transform pure or applied mathematics?
• Some Properties of the q-Hermite Polynomials
• On the Rogers-Szego polynomials
• Hilbert spaces of analytic functions and generalized coherent states

This page was built for publication: ON q-EXTENSIONS OF MEHTA'S EIGENVECTORS OF THE FINITE FOURIER TRANSFORM