Equivalence principle, Planck length and quantum Hamilton-Jacobi equation

The Quantum Stationary HJ Equation (QSHJE) that we derived from the equival ence principle, gives rise to initial conditions which cannot be seen in th e Schrodinger equation. Existence of the classical limit leads to a depende nce of the integration constant l = l(1) + il(2) on the Planck length. Solu tions of the QSHJE provide a trajectory representation of quantum mechanics which, unlike Bohm's theory, has a non-trivial action even for bound state s and no wave guide is present. The quantum potential turns out to be an in trinsic potential energy of the particle which, similarly to the relativist ic rest energy, is never vanishing. (C) 1998 Elsevier Science B.V. All righ ts reserved.