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Old 16-11-2007, 01:32 PM
AGarvin
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AGarvin is offline
 
Join Date: Sep 2005
Posts: 100
Hi all,

I think the uncertainty principle is a little more complex. It is often described as the result of particles colliding thereby "altering" the outcome but this is actually wrong. From what I understand it is based around a bottom limit placed on a quantum system.

The uncertainty is based on the product of the position (p) and momentum (m) being equal to or above this bottom limit (p*m>=hbar/2) where hbar is Plancks constant h divided by 2pi.

Lets say the bottom limit is 16 (ie, hbar/2 = 16) and the uncertainty of the position is 4, then the uncertainty of the momentum must be >= 4, as 4*4 (m*p) must be >= 16, which is true in this case.

If we reduce our uncertainty in the position (p) to 2, then the uncertainty in the momentum (m) can no longer be 4 as 2*4 (p*m) = 8, which is under our bottom limit 16. So by reducing the uncertainy in the position to 2 we increase the uncertainty in the momentum to a minimum of 8 (2*8>=16).

Hope I've got that right and I'm not on drugs .

Cheers,
Andrew.
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