GR9277 #27



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94709 20071016 23:57:54  uncertainty principle.
In Q.M., for any matter,
Thus, .
Above equations can be done in 5 seconds without writing them down.
Therefore, . 5 seconds in one's head.
zaijings 20090313 15:21:33 
like this solution!

Professor Plum 20110714 14:38:57 
k should not depend on . Eliminate everything but B.

  gray 20071003 07:26:07  What are Fourier variables??
underboywonder 20071003 17:43:54 
I thought about it in context of the uncertainty principle. The better the localization of the particle in space, delta x, the worse the localization in momentum space, delta k. This implies an inverse relationship, like answer B.

craklyn 20071024 21:45:39 
To quote my professor:
The uncertainty principle isn't anything mysterious or magical. It's simply a property of Fourier analysis!

Poop Loops 20081025 21:07:03 
What Yosun means by "Fourier variables" is that the Fourier transform of xspace takes you into kspace.
This is because the Fourier transform of distancespace takes you into momentumspace. And since the "k" we are referring to is from the wave equation, we can use .
If you don't know what Fourier analysis is, then you won't understand this, though, and it isn't something I can explain in a few sentences. I think my class spent a few weeks on it. Pretty important to know, though.

 

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