The discrete harmonic oscillator, Harper's equation, and the discrete fractional Fourier transform

DOI10.1088/0305-4470/33/11/304zbMath0991.39007OpenAlexW2096438497MaRDI QIDQ4949502

M. Alper Kutay, T. Hakioğlu, Laurence Barker, Haldun M. Ozaktas, Çağatay Candan

Publication date: 5 May 2002

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://hdl.handle.net/11511/37930

zbMATH Keywords

harmonic oscillatordiscrete fractional Fourier transformHarper's equationHermite-Gaussian functionsenergy eigenfunctions

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Numerical methods for discrete and fast Fourier transforms (65T50) Discrete version of topics in analysis (39A12)

Related Items (12)

The discrete fractional Fourier transform and Harper's equation ⋮ Discrete Fourier transform of prime order: eigenvectors with small support ⋮ General phase spaces: from discrete variables to rotor and continuum limits ⋮ Theoretical formulation of finite-dimensional discrete phase spaces. II. On the uncertainty principle for Schwinger unitary operators ⋮ The U(2) Fourier group for rectangular pixellated images ⋮ Continuum quantum systems as limits of discrete quantum systems. III. Operators ⋮ Continuum quantum systems as limits of discrete quantum systems. I: State vectors ⋮ Development of Linear Canonical Transforms: A Historical Sketch ⋮ Unitary rotation of square-pixellated images ⋮ Computation of the fractional Fourier transform ⋮ Uncertainty Relation for the Discrete Fourier Transform ⋮ CONTRACTION OF THE FINITE ONE-DIMENSIONAL OSCILLATOR

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