TY - JOUR
T1 - Quasiprobability distribution functions from fractional Fourier transforms
AU - Anaya-Contreras, Jorge A.
AU - Zúñiga-Segundo, Arturo
AU - Moya-Cessa, Héctor M.
N1 - Publisher Copyright:
© 2019 by the authors.
PY - 2019/3/1
Y1 - 2019/3/1
N2 - We show, in a formal way, how a class of complex quasiprobability distribution functions may be introduced by using the fractional Fourier transform. This leads to the Fresnel transform of a characteristic function instead of the usual Fourier transform. We end the manuscript by showing a way in which the distribution we are introducing may be reconstructed by using atom-field interactions.
AB - We show, in a formal way, how a class of complex quasiprobability distribution functions may be introduced by using the fractional Fourier transform. This leads to the Fresnel transform of a characteristic function instead of the usual Fourier transform. We end the manuscript by showing a way in which the distribution we are introducing may be reconstructed by using atom-field interactions.
KW - Fractional Fourier transform
KW - Quasiprobability distribution functions
KW - Reconstruction of the wave function
UR - http://www.scopus.com/inward/record.url?scp=85067313201&partnerID=8YFLogxK
U2 - 10.3390/sym11030344
DO - 10.3390/sym11030344
M3 - Artículo
AN - SCOPUS:85067313201
SN - 2073-8994
VL - 11
JO - Symmetry
JF - Symmetry
IS - 3
M1 - 344
ER -