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The de Broglie - Bohm "pilot-wave" theory replaces the paradoxicalwave-particle duality of ordinary quantum theory with a more mundane andliteral kind of duality: each individual photon or electron comprises a quantumwave (evolving in accordance with the usual quantum mechanical wave equation)and a particle that, under the influence of the wave, traces out a definitetrajectory. The definite particle trajectory allows the theory to account forthe results of experiments without the usual recourse to additional dynamicalaxioms about measurements. Instead one need simply assume that particledetectors click when particles arrive at them. This alternative understandingof quantum phenomena is illustrated here for two elementary textbook examplesof one-dimensional scattering and tunneling. We introduce a novel approach toreconciling standard textbook calculations (made using unphysical plane-wavestates) with the need to treat such phenomena in terms of normalizable wavepackets. This allows for a simple but illuminating analysis of the pilot-wavetheory's particle trajectories, and an explicit demonstration of theequivalence of the pilot-wave theory predictions with those of ordinary quantumtheory.

The Pilot-Wave Perspective on Quantum Scattering and Tunneling