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Finite systems, fractional Fourier transforms and their finite phase spaces

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Czechoslovak Journal of Physics Aims and scope

Abstract

Various harmonic oscillator models define — in a sense to be explained here — fractional Fourier transforms (up to a phase). The fractionalization of the Fourier integral transform is well understood; the finite case is less. There are several discrete and finite oscillator models that contract to the continuous, integral model. The Ankara model can be thought as a ring of point masses joined by springs to their equilibrium positions and to each other; the Cuernavaca model uses the su(2) algebra with a distinct physical interpretation.

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Authors and Affiliations

  1. Centro de Ciencias Fisicas, Universidad Nacional Autonoma de Mexico, Apartado Postal 48-3, Cuernavaca, Morelos, 62251, Mexico

    Kurt Bernardo Wolf

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  1. Kurt Bernardo Wolf
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Presented at the International Colloquium “Integrable Systems and Quantum Symmetries”, Prague, 16–18 June 2005.

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Wolf, K.B. Finite systems, fractional Fourier transforms and their finite phase spaces. Czech J Phys 55, 1527–1534 (2005). https://doi.org/10.1007/s10582-006-0036-3

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  • DOI: https://doi.org/10.1007/s10582-006-0036-3

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