Principal quantum number Updated 2025-07-16
Determines energy. This comes out directly from the resolution of the Schrödinger equation solution for the hydrogen atom where we have to set some arbitrary values of energy by separation of variables just like we have to set some arbitrary numbers when solving partial differential equations with the Fourier series. We then just happen to see that only certain integer values are possible to satisfy the equations.
Azimuthal quantum number Updated 2025-07-16
The direction however is not specified by this number.
To determine the quantum angular momentum, we need the magnetic quantum number, which then selects which orbital exactly we are talking about.
Magnetic quantum number Updated 2025-07-16
Fixed quantum angular momentum in a given direction.
Can range between .
E.g. consider gallium which is 1s2 2s2 2p6 3s2 3p6 4s2 3d10 4p1:
The z component of the quantum angular momentum is simply:
so e.g. again for gallium:
Note that this direction is arbitrary, since for a fixed azimuthal quantum number (and therefore fixed total angular momentum), we can only know one direction for sure. is normally used by convention.
This is a bit "formal hocus pocus first, action later". But withing that category, it is just barely basic enough that 2021 Ciro can understand something.
Lecture notes transcribed by a student: github.com/avstjohn/qft
18 1h30 lectures.
NumPy Updated 2025-07-16
The people who work on this will go straight to heaven, no questions asked.
Scikit-learn Updated 2025-07-16
Examples under python/sklearn
. .venv/bin/activate
pip install sklearn matplotlib seaborn
Venus Updated 2025-07-16
Earth Updated 2025-07-16
Mars Updated 2025-07-16
Jupiter Updated 2025-07-16
Saturn Updated 2025-07-16
Uranus Updated 2025-07-16
The first planet not known since antiquity.

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