A NOTE ON THE QUANTIZATION OF CONSTRAINED GENERALIZED DYNAMICS

It is proved that the canonical quatization starting from a singular f irst-order Lagrangian yields the same physical results as a second-ord er Lagrangian which differs from the original singular Lagrangian by a total-time derivative term for a system with finite degrees of freedo m. A typical example is given. For the case in the field theories a br ief discussion is given and an example is illustrated.