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𝐓𝐡𝐞 𝐅𝐫𝐞𝐞 𝐏𝐚𝐫𝐭𝐢𝐜𝐥𝐞
In Quantum Mechanics, is not a "point particle" following some trajectory
The free particle is actually a propagating "wave packet" that spreads out over time
This spread corresponds to uncertainty in position
Check out my neat gif! 
pic.twitter.com/51vKvjSnPq
Note that I slowed down the initial collapse (before zooming in) to bring out some of the structure
The governing equation of the time evolution of a free particle is its wave function Ψ(x,t).
The gif I made is the real part of this equationpic.twitter.com/f3xEHBpPAN
The plotted function in the gif is called a Gaussian Wave Packet
It's also known as a "minimum uncertainty wave packet"
This naming is because if you calculate ΔxΔp for this wave function it equals precisely ℏ/2
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