  The electronic energy levels of one-dimensional aperiodic systems driven by a
homogeneous electric field are studied by means of a phase space description
based on the Wigner distribution function. The formulation provides physical
insight into the quantum nature of the electronic states for the aperiodic
systems generated by the Fibonacci and Thue-Morse sequences. The nonclassical
parameter for electronic states is studied as a function of the magnitude of
homogeneous electric field to achieve the main result of this work which is to
prove that the nonclassical properties of the electronic states in the
aperiodic systems determine the transition probability between electronic
states in the region of anticrossings. The localisation properties of
electronic states and the uncertainty product of momentum and position
variables are also calculated as functions of the electric field.
