Energy Eigenvalues for a Class of One-Dimensional Potentials via Quantum Hamilton–Jacobi Formalism

Abstract

Using quantum Hamilton–Jacobi formalism of Leacock and Padgett, we show how to obtain the known energy eigenvalues for a class of widely studied, solvable, one-dimensional potentials. An alternative method to the one given by us, is provided which unambiguously determines the quantum momentum function and hence the eigenvalues for these Hamiltonians.