[FRIAM] links for this morning's FRIAM: Special Unitary Groups and Quaternions

Stephen Guerin stephen.guerin at simtable.com
Fri Apr 28 10:18:22 EDT 2023

Special Unitary Groups and Quaternions

Mostly for Ed from the context of last week's Physical Friam if you're
coming today.

Discussion was around potential ways of visualizing the dynamics of SU(3),
SU(2), (SU1) that highlights Special Unitary Groups. (wiki link from Frank
<https://en.wikipedia.org/wiki/Special_unitary_group>), and can we
foreground how quaternions are used in this process.

and a related bit on forces, I'm searching for ways to visualize/understand
how FFTs with Poisson equation
<https://www.codeproject.com/Articles/5308623/Solving-Poisson-Equation> are
used to compute the forces from scalar fields (eg gravitational force from
mass density, electric force from charge, etc) and if there's any relation
to Special Unitary Groups.

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