  Based on the results of a recent reexamination of the quantization of systems
with first-class and second-class constraints from the point of view of
coherent-state phase-space path integration, we give additional examples of the
quantization procedure for reparameterization invariant Hamiltonians, for
systems for which the original set of Lagrange multipliers are elevated to
dynamical variables, as well as extend the formalism to include cases of
first-class constraints the operator form of which have a spectral gap about
the value zero that characterizes the quantum constraint subspace.
