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

H. C. G. Caldas·P. R. Silva
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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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H. C. G. Caldas, P. R. Silva. 2000-09-11. Spreading of wave packets, Uncertainty Relations and the de Broglie Frequency. https://arxiv.org/abs/gr-qc/9809007

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