  Canonical quantization of an action containing curvature squared term
requires introduction of an auxiliary variable. Boulware etal[1] prescribed a
technique to choose such a variable, by taking derivative of an action with
respect to the highest derivative of the field variable, present in the
action.It has been shown that[2] this technique can even be applied in
situations where introduction of auxiliary variables are not at all required,
leading to wrong Wheeler-deWitt equation. It has also been pointed out that[2]
Boulware etal's[1] prescription should be taken up only after removing all
removable total derivative terms from the action. Once this is done only a
unique description of quantum dynamics would emerge. For curvature squared term
this technique yields, for the first time, a quantum mechanical probability
interpretation of quantum cosmology, and an effective potential, whose
extremization leads to Einstein's equation. We conclude that Einstein-Hilbert
action should essentially be modified by at least a curvature squared term to
get a quantum mechanical formulation of quantuum cosmology and hence extend our
previous work[2] for such an action along with a scalar field.
