  We describe an approximate solution to the Heisenberg operator equations of
motion for an atom in a laser field. The solution is based on a quantum
generalization of the physical picture given by the well-known Simple Man Model
(SMM). We provide justification of the plausibility of this generalization and
test its validity by applying it for the calculation of the coordinate and
velocity autocorrelation functions which, to our knowledge, have not been
studied before in the context of the strong field ionization. Both our model
and results of the ab initio numerical calculations show distinct types of
correlations due to different types of electron's motion providing a useful
insight into the strong field ionization dynamics.
