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    Bi-fractional Wigner functions

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    agyo_lei_vourdas_2016.pdf (351.0Kb)
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    Publication date
    2016
    Author
    Agyo, Sanfo D.
    Lei, Ci
    Vourdas, Apostolos
    Keyword
    Wigner functions; Fourier transforms
    Rights
    © 2016 The Authors. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence (http://creativecommons.org/licenses/by/3.0/legalcode). Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
    Peer-Reviewed
    Yes
    
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    Abstract
    Two fractional Fourier transforms are used to define bi-fractional displacement operators, which interpolate between displacement operators and parity operators. They are used to define bi-fractional coherent states. They are also used to define the bi-fractional Wigner function, which is a two-parameter family of functions that interpolates between the Wigner function and the Weyl function. Links to the extended phase space formalism are also discussed.
    URI
    http://hdl.handle.net/10454/11002
    Version
    Published version
    Citation
    Agyo S, Lei CI and Vourdas A (2016) Bi-fractional Wigner functions. Journal of Physics: Conference series. 597. Conference 1.
    Link to publisher’s version
    http://dx.doi.org/10.1088/1742-6596/597/1/012007
    Type
    Conference paper
    Collections
    Engineering and Informatics Publications

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