  Quantum Hamilton-Jacobi quantization scheme uses the singularity structure of
the potential of a quantum mechanical system to generate its eigenspectrum and
eigenfunctions, and its efficacy has been demonstrated for several well known
conventional potentials. Using a recent work in supersymmetric quantum
mechanics, we prove that the additive shape invariance of all conventional
potentials and unbroken supersymmetry are sufficient conditions for their
solvability within the quantum Hamilton-Jacobi formalism.
