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Bi-fractional Wigner functions

Yes / 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.

Identiferoai:union.ndltd.org:BRADFORD/oai:bradscholars.brad.ac.uk:10454/11002
Date January 2016
CreatorsAgyo, Sanfo D., Lei, Ci, Vourdas, Apostolos
Source SetsBradford Scholars
LanguageEnglish
Detected LanguageEnglish
TypeConference paper, Published version
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.

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