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Jordan and Einstein frame are studied under the light of Hamiltonianformalism. Dirac's constraint theory for Hamiltonian systems is applied toBrans-Dicke theory in the Jordan Frame. In both Jordan and Einstein frame,Brans-Dicke theory has four secondary first class constraints and theirconstraint algebra is closed. We show, contrary to what is generally believed,the Weyl (conformal) transformation, between the two frames, is not a canonicaltransformation, in the sense of Hamiltonian formalism. This addresses quantummechanical inequivalence as well. A canonical transformation is shown.

Canonical Analysis of Brans-Dicke Theory Addresses Hamiltonian Inequivalence between Jordan and Einstein Frames