# Causal Interpretation of the Free Quantum Particle

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A solution of the one-dimensional free Schrödinger equation leads to a time-dependent Gaussian wave packet (unnormalized, ) with initial width and group velocity in space. According to the orthodox interpretation of quantum theory, the probability of finding the particle within a spatial interval decreases with time as the wave packet disperses. In the causal interpretation of quantum theory of David Bohm, the wavefunction is a real wave in configuration space. With this assumption it could be shown that a quantum particle possesses well-defined positions and velocities at all times. According to the causal interpretation there is a quantum force proportional to a quantum potential that guides the quantum particle inside the wave packet.

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Contributed by: Klaus von Bloh (March 2011)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

F. J. Belinfante, *A Survey of Hidden-Variables Theories*, Oxford: Pergamon Press, 1973.

P. R. Holland, *The Quantum Theory of Motion*, Cambridge: Cambridge University Press, 1993.

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