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

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2000-03-24
BARKER, L
Candan, Çağatay
HAKIOGLU, T
KUTAY, MA
OZAKTAS, HM
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.

Citation Formats
L. BARKER, Ç. Candan, T. HAKIOGLU, M. KUTAY, and H. OZAKTAS, “The discrete harmonic oscillator, Harper’s equation, and the discrete fractional Fourier transform,” JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, vol. 33, no. 11, pp. 2209–2222, 2000, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/37930.