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

Authors: H. C. G. Caldas (FUNREI, Brasil), P. R. Silva (UFMG, Brasil)

Apeiron 8, n1 (2001)
arXiv: gr-qc/9809007v2 - DOI (gr-qc)
6 pages, no figures; Minor changes which do not affect the general results and conclusions. To appear in Apeiron
License: ASSUMED 1991-2003

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.

Submitted to arXiv on 01 Sep. 1998

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