  Canonical quantization of the Brane-World effective action presented by Kanno
and Soda containing higher order curvature invariant terms, has been performed.
It requires introduction of an auxiliary variable. As observed in a series of
publications by Sanyal and Modak, here again we infer that properly chosen
auxiliary variable leads to a Schrodinger like equation where the kinetic part
of a canonical variable disentangles from the rest of the variables giving a
natural quantum mechanical flavour of time. Further, the effective Hamiltonian
turns out to be hermitian, leading to the continuity ewuation. Thus, a quantum
mechanical probability inter pretation is plausible. Finally, the extremization
of the effective potential leads to Einstein's equation and a well behaved
classical solution, which is a desirable feature of the gravitational action
containing higher order curvature invariant terms.
