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

Date

2000-03-24

Author

BARKER, L
Candan, Çağatay
HAKIOGLU, T
KUTAY, MA
OZAKTAS, HM

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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Certain solutions to Harper's equation are discrete analogues of (and approximations to) the Hermite-Gaussian functions. They are the energy eigenfunctions of a-discrete algebraic analogue of the harmonic oscillator, and they lead to a definition of a discrete fractional Fourier transform (FT). The discrete fractional FT is essentially the time-evolution operator of the discrete harmonic oscillator.

Subject Keywords

Mathematical Physics, General Physics and Astronomy, Statistical and Nonlinear Physics

URI

https://hdl.handle.net/11511/37930

Collections

Department of Electrical and Electronics Engineering, Article