Visualization of uncertainty principle [graphs]

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The discussion focuses on the search for visualizations of the uncertainty principle, specifically using Fourier transforms for a homework assignment. The original poster has struggled to find graphs or visual representations, despite extensive searching in multiple languages. They reference Heisenberg's gamma-ray microscope as a partial aid but seek more comprehensive visuals, particularly bell curves. A user suggests clarifying the specific application of the Fourier transform and inquires about the capabilities of Excel for this task. The conversation emphasizes the need for better resources and techniques for visualizing quantum mechanics concepts.
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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 .
 
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Edited slightly from wikipedia:
Heisenberg_gamma_ray_microscope.png

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.

nj180726fig2.jpg


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?
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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