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* Added project blanks

* use os.path.join for audio files

* Added projects

* Updated docs/index.md

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* updated for final week

Co-authored-by: bsafvato <[email protected]>
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eacharles and bsafvato authored Aug 19, 2021
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72 changes: 72 additions & 0 deletions data/Higgs.txt
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# Mass Nevts
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13 changes: 12 additions & 1 deletion docs/Projects.md
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Expand Up @@ -7,6 +7,14 @@ The goals of the final projects are:

2. To give you a chance to apply some of the things we learned in this course.

The idea is for your group to work as independently or with as much guidance
as you prefer.

If your group prefers to work independetly, great, each project notebook has some suggestions of things you might do, and
some tools to get you started.

If your group prefers to have some guidance from the instructiors,
great, we are available to help.

We have designed five different projects. The idea is that you will work in small groups, as usual, on the projects.
We are expecting you to spend about three hours on the project.
Expand All @@ -21,7 +29,10 @@ propose your own project, keeping in mind that you should expect to spend about
Please use this sheet to express your interest in a particular project by next week.
[Sign up sheet](https://docs.google.com/spreadsheets/d/12MT8zAYdLToVdNDRUBJxRjTfoQYo-oUP748JXoTYw_A/edit?usp=sharing)

We will use that to set up the breakout rooms next week.
We will use that to set up the breakout rooms for the final class sessions.

The projects will be due on the Monday after the final class session
(i.e., Monday, August 30).


### 1. Quantifying the "Hubble Tension"
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# Follow up notes for week 8.

### Frequency and wave number

Last week we worked with analyzing data using Fourier analysis.

In the first notebook we worked with audio files and looked at the frequencies that were
present is a few music clips.

In the second notebook we worked with some data from Ben's lab studying the behavior of
electrons on a copper surface. Basically, this introduced two new concepts.

1. We can apply Fourier analysis to spatial data as well as time data. I.e., with music, the frequency of the
variation of the sound wave with time is what our ears hear as the pitch of the music. It turns out that the
spatial frequency of variation of the electron density with distance is released to the momentum and energy
levels of the electrons.

2. We can apply Fourier analysis in more that one dimension. I.e., we can study wave on surfaces, or even waves
in solid materials.

Let's see if we can break those two concept down into pieces.

One of the figures we had showed waves that were oriented diagonally.

[Waves](!diagonal_waves.png)

The bright bits might be places where the wave is higher, the dark bits where it is lower.

The first concept we have is wave number. it is basically the spatial equivalent of frequency. I.e., it is the number
of waves that you can fit into a fixed length. Since the image above is 1m X 1m it is really easy to count how many
wave can fit in a meter. I count 10 waves along the x-axis and 5 waves along the y-axis.

The second concept is describing the wave in more that one dimension. But we have already basically done that.
I.e., the wave numbers are 5 and 10, so we can combine them to get a wave vector, which is (5, 10).

We had a figure that looked like this:

[Waves](!diagonal_wave_vector.png)

The reason that there are two points instead of just 1 is that we just as easily count have counted in other other directions,
e.g., left-to-right instead of right-to-left.




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1 change: 1 addition & 0 deletions docs/index.md
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Expand Up @@ -88,6 +88,7 @@ This is sufficient for the notes, but to do the tutorials you will need to downl
* [Background and reference](Week8.md)
* [Notebook 1: "Fourier Analysis"](../nb/08_01_Intro_Fourier_Analysis.ipynb)
* [Notebook 2: "Electron 'Gas' on a copper surface"](../nb/08_02_Ripples_in_2D_Electron_Gas.ipynb)
* [Follow up](Week8_after.md)
* Notes for Week 9-10:
* Topics: [Work on final project](Projects.md)
* [Topic 1: "The Hubble Tension"](../nb/Project_Hubble_Tension.ipynb)
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