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American Journal of Physics

Dispersion of non-Gaussian free particle wave packets

Katsunori Mita

Published Sep 11, 2007• 13 citations
Publisher
DOI
10.1119/1.2742399

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Recently, the stochastic nonlinear wave equation describing the dynamics of an observed quantum system has been solved for a free particle [Phys. Rev. A 45, 1347 (1992)]. In this paper, transient effects that occur during a continuous observation of the particle position are discussed. It is shown that the dispersion of the Gaussian wave packet of the particle always decreases in the beginning of the observation, then takes the form of oscillations which, after a short time, decay rapidly to the asymptotic value.