The Heisenberg Uncertainty Principle is one of the most non-intuitive concepts in all of quantum mechanics. It says that it is impossible to precisely know both an object's location and its motion. Know one well and you must know the other poorly. The origins of this are deeply tied to the wave nature of matter and the connection between waves and momentum. In this video, Fermilab’s Dr. Don Lincoln sorts it all out.

Fourier transform square wave:
https://mathworld.wolfram.com/Fourier...

Fourier transform gaussian:
https://mathworld.wolfram.com/Fourier...

Additional Fourier transform explainer:
https://mriquestions.com/fourier-tran...

Wavelength, momentum, and wave number:
http://faculty.chas.uni.edu/~shand/Mo...

Wave Function video:
   • What is quantum mechanics really all ...  

Deriving Heisenberg:
http://math.uchicago.edu/~may/REU2021...

Fermilab physics 101:
https://www.fnal.gov/pub/science/part...

Fermilab home page:
https://fnal.gov