Quantum Hamilton-Jacobi Theory and supersymmetric quantum mechanics (SUSYQM)
are two parallel methods to determine the spectra of a quantum mechanical
systems without solving the Schr\"odinger equation. It was recently shown that
the shape invariance, which is an integrability condition in SUSYQM formalism,
can be utilized to develop an iterative algorithm to determine the quantum
momentum functions. In this paper, we show that shape invariance also suffices
to determine the eigenvalues in Quantum Hamilton-Jacobi Theory.Comment: Accepted for publication in Phys. Lett.