On solving Schroedingers equation with integrals over classical paths

We show that the Schroedinger equation of quantum physics can be solved using the classical Hamilton-Jacobi action dynamics, extending a key result of Feynman applicable only to quadratic Lagrangians. This is made possible by two developments. The first is incorporating geometric constraints directly in the classical least action problem, in effect replacing in part the probabilistic setting by the non-uniqueness of solutions of the constrained problem. For instance, in the double slit experiment or for a particle in a box, spatial inequality constraints create Dirac constraint forces, which lead to multiple path solutions. The second development is a spatial rescaling of clocks, specifically designed to achieve a general equivalence between Schroedinger and Hamilton-Jacobi representations. These developments leave the results of associated Feynman path integrals unchanged, but they can greatly simplify their computation as only classical paths need to be included in the integrals, and time-slicing is avoided altogether. They also suggest a smooth transition between physics across scales.