I was reading about how Heisenberg found out that it is "impossible to determine simultaneously with unlimited precision the position and momentum of a particle" (Serway/Moss/Moyer, 174)(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\Delta p\Delta x \geq[/tex][STRIKE]h[/STRIKE]/2 (where [STRIKE]h[/STRIKE] is plank's constant over 2pi.)

My question is why is this true? I read that it had something to do with the large wavenumbers [tex]\Delta[/tex]k, but I'm unsure exactly how that affects anything. I'm just a little hazy on the reason for why, even ignoring the error caused by measuring insturments, it would be impossible to measure two precise things at once.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Heisenberg's Momentum-Position Uncertainty Principle

**Physics Forums | Science Articles, Homework Help, Discussion**