Visualization of uncertainty principle [graphs]

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moniqu3
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Homework Statement


I'm looking for graphs or other sources of uncertainty principle visualization (I'm suppose to use a Fourier transform to solve it and present visualization in MS Excel... but one thing at a time).

Homework Equations


The Attempt at a Solution


Digged google in 3 languages. I get a lot of equations and theory but not even one graph or other visualization.

Sorry about grammar mistakes since it's not my first language.
P.S: Should I post it in Quantum Mechanics sub-forum ?
Thanks in advance for Your help .
 
Edited slightly from wikipedia:
Diagram of Heisenberg's gamma-ray microscope: a blue electron at the bottom with a green incoming gamma ray from the left and a red scattered ray leaving upward, within a cone of aperture angle θ marked by a dashed axis; Δx is labelled beneath the electron.

Above is Heisenberg's gamma-ray microscope for locating an electron (shown in blue). The incoming gamma ray (shown in green) is scattered by the electron up into the microscope's aperture angle θ. The scattered gamma-ray is shown in red. Classical optics shows that the electron position can be resolved only up to an uncertainty Δx that depends on θ and the wavelength λ of the incoming light.

Hope this helps.
 
Not exactly what I'm looking for but it will help too. Thanks
I still can't find any graph with Fourier transformation used to make visualization
@edit
Yay, I've found one :
http://www.ams.org/samplings/feature-column/fcarc-uncertainty
Very simple example but will work just fine.
Im looking for something more like this, bell curves.

Maybe someone have higher 'google skill' than me
 
Last edited:
This is sort of what you are looking for.

Diagram of an angular momentum measurement apparatus: an input beam passes an aperture, an analysing hologram, a lens and a pinhole to a detector. Insets show probability graphs of angular position from -π to π and angular momentum in units of ħ, one flat and one bell-shaped with a spread of values.


What do you want to apply the Fourier transform to, the bell shaped curve? A wave packet? Several delta functions?

Will you be using software? I didn't know Excel was used for this type of thing, which parts can it handle, integrating?