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dc.contributor.authorAgyo, Sanfo D.*
dc.contributor.authorLei, Ci*
dc.contributor.authorVourdas, Apostolos*
dc.date.accessioned2015-07-15T08:42:24Z
dc.date.available2015-07-15T08:42:24Z
dc.date.issued2015-02-06
dc.identifier.citationAgyo S, Lei C and Vourdas A (2015) Interpolation between phase space quantities with bifractional displacement operators. Physics Letters A. 379 (4): 255–260.en_US
dc.identifier.urihttp://hdl.handle.net/10454/7340
dc.descriptionnoen_US
dc.description.abstractBifractional displacement operators, are introduced by performing two fractional Fourier transforms on displacement operators. They are shown to be special cases of elements of the group G , that contains both displacements and squeezing transformations. Acting with them on the vacuum we get various classes of coherent states, which we call bifractional coherent states. They are special classes of squeezed states which can be used for interpolation between various quantities in phase space methods. Using them we introduce bifractional Wigner functions A(α,β;θα,θβ)A(α,β;θα,θβ), which are a two-dimensional continuum of functions, and reduce to Wigner and Weyl functions in special cases. We also introduce bifractional Q-functions, and bifractional P-functions. The physical meaning of these quantities is discussed.en_US
dc.language.isoenen_US
dc.subjectFractional Fourier Transform; Phase space methods; Wigner functionsen_US
dc.titleInterpolation between phase space quantities with bifractional displacement operatorsen_US
dc.status.refereedYesen_US
dc.date.Accepted2014-11-18
dc.typeArticleen_US
dc.type.versionNo full-text available in the repositoryen_US
dc.identifier.doihttps://doi.org/10.1016/j.physleta.2014.11.034


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