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Spreading of wave packets, Uncertainty Relations and the de Broglie Frequency

1998/09/30 by H. C. G. Caldas, P. R. Silva
Physics and Astronomy · #gr-qc

paper · pdf

published as Apeiron 8, n1 (2001) · 6 pages, no figures; Minor changes which do not affect the general results and conclusions. To appear in Apeiron

arxiv created 2000/09/11 · arxiv updated 2009/11/30

Abstract

The spreading of quantum mechanical wave packets is studied in two cases. Firstly we look at the time behavior of the packet width of a free particle confined in the observable Universe. Secondly, by imposing the conservation of the time average of the packet width of a particle driven by a harmonic oscillator potential, we find a zero-point energy which frequency is the de Broglie frequency.

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