Tag: Spin
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Spinning Rotations
There was a time when I was not sure if I wanted to create scientific visualizations or art, or both. With SageMath, I created images like this: This image part of the article Spins, Rotations, and the Beauty of Complex Numbers – where I used styled the formulas to match the aesthetics of the illustrations.…
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Joys of Geometry
Creating figures with math software does not feel like fabricating illustrations for science posts. It is more of a meditation on geometry. I want to literally draw every line. I am not using grid lines or rendered surfaces. I craft a parametric curve for every line. A curve is set of equations. Yet, playing with…
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Spins, Rotations, and the Beauty of Complex Numbers
This is a simple quantum state … |➚> = α|↑> + β|↓> … built from an up |↑> state and a down state |↓>. α and β are complex numbers. The result |➚> is in the middle, oblique. The oblique state is a superposition or the up and down base states. Making a measurement, you…