Further Studies of Hydrogenic Quantum Systems Using the Feynman-Kac Path Integral Method

The Feynman-Kac path integral method is applied to atomic hydrogen quantum system for the purpose of evaluating eigenvalues. These are computed by random walk simulations on a discrete grid. The study includes rescaling and the use of symmetry that allows higher order eigenstates to be computed. The method provides exact values in the limit of infinitesimal step size and infinite time for the lowest eigenstates.