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Uncertainty & Wave Packets

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About this simulation

A Gaussian wave packet is shown at one instant, with its real part scaled to its peak. Position and momentum samples come from separate, identically prepared ensembles, not simultaneous measurements of one particle. Each trial adds one sample to each ensemble. Momentum is expressed in ℏ/nm.

What students can explore

  • Reduce the position spread. Then change mean momentum: which distribution shifts and which width stays fixed?
  • Narrowing the position distribution widens the momentum distribution. For this minimum-uncertainty Gaussian, σx σp always equals ℏ/2.

Learning objectives

  1. 1Reduce the position spread. Then change mean momentum: which distribution shifts and which width stays fixed?

Questions teachers ask

How does this work?

A Gaussian wave packet is shown at one instant, with its real part scaled to its peak. Position and momentum samples come from separate, identically prepared ensembles, not simultaneous measurements of one particle. Each trial adds one sample to each ensemble. Momentum is expressed in ℏ/nm.

Embed this simulation

Drop it into your LMS, blog, or class site — free.

<iframe src="https://kiwibee.io/en/simulations/uncertainty-wave-packets-simulation/embed" title="Uncertainty &amp; Wave Packets | KiwiBee" loading="lazy" allowfullscreen style="width:100%;height:min(70vh,620px);min-height:420px;border:0;border-radius:16px"></iframe>

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