TY - JOUR
A1 - Dragoman, Daniela
T1 - Tunable fractional Fourier transform implementation of electronic wave functions in atomically thin materials
JF - Beilstein Journal of Nanotechnology
Y1 - 2018///
VL - 9
SP - 1828
EP - 1833
SN - 2190-4286
M3 - doi:10.3762/bjnano.9.174
N2 - A tunable fractional Fourier transform of the quantum wave function of electrons satisfying either the SchrÃ¶dinger or the Dirac equation can be implemented in an atomically thin material by a parabolic potential distribution applied on a direction transverse to that of electron propagation. The difference between the propagation lengths necessary to obtain a fractional Fourier transform of a given order in these two cases could be seen as a manifestation of the Berry phase. The Fourier transform of the electron wave function is a particular case of the fractional Fourier transform. If the input and output wave functions are discretized, this configuration implements in one step the discrete fractional Fourier transform, in particular the discrete Fourier transform, and thus can act as a coprocessor in integrated logic circuits.
ER -