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The indeterministic character of physical laws is generally considered to bethe most important consequence of quantum physics. A deterministic point ofview, however, together with the possibility of well defined Hamiltoniantrajectories, emerges as the most natural one from the analysis of thetime-independent Helmholtz-like equations encountered both in ClassicalElectromagnetism and in Wave Mechanics. In the case of particle beams asuitable pattern of trajectories is provided (for any set of boundaryconditions) by a set of dynamical laws containing the classical ones as asimple limiting case.

Beyond Geometrical Optics and Bohmian Physics: A New Exact and  Deterministic Hamiltonian Approach to Wave-Like Features in Classical and  Quantum Physics