Saturday, March 05, 2005

Uncertainty seems uncertain

Heisenberg said that the product of uncertainty in momentum and position will be greater than or equal to h/4π . Why only h/4π; why not c/8 or any other number?

3 Comments:

Blogger Karan said...

I don't have an answer for you, but I would like to say that it isn't the h that bothers me so much as much as the 4π does.

10:44 PM  
Blogger Prateek said...

And what's even funnier is that the 4π is not constant everywhere. What I mean to say is that in Heisenberg's original paper (which I did not understand as it was probably in German), the quantity is 2π instead of 4π, when I looked at other places, I was surprised as some had 2π while other's had 4π. Resnik/Halliday had 2π whereas J.D.Lee,NCERT has it as 4π.

12:59 AM  
Anonymous Anonymous said...

It actually is 2π... Moreover the 2π is a fundamental quantity. It's not just some weird thing put in. It is the way nature behaves at the quantum level. BTW the quantity h/2π is called "h bar". And if you a consider a phase space volume it becomes h/8π.

11:19 AM  

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