Phys. Rev. A 60, 3467–3473 (1999)Fractional Fourier operators and generalized Wigner functionsReceived 10 February 1999; published in the issue dated November 1999 Fractional Fourier operators are introduced, and their properties are studied. Products of these operators with the displacement operators are also considered and used to define generalized Wigner functions which in special cases give the known Wigner functions and Weyl functions. The properties of these generalized Wigner functions are explored. Complex fractional Fourier operators are also studied. © 1999 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.60.3467
DOI:
10.1103/PhysRevA.60.3467
PACS:
03.65.Bz, 42.50.Dv
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