Spreading of wave packets, Uncertainty Relations and the de Broglie Frequency
General Relativity and Quantum Cosmology
2007-05-23 v2
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.
Cite
@article{arxiv.gr-qc/9809007,
title = {Spreading of wave packets, Uncertainty Relations and the de Broglie Frequency},
author = {H. C. G. Caldas and P. R. Silva},
journal= {arXiv preprint arXiv:gr-qc/9809007},
year = {2007}
}
Comments
6 pages, no figures; Minor changes which do not affect the general results and conclusions. To appear in Apeiron