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

[Roger Frye]

a quaternion version of Euler's formula
https://www.youtube.com/watch?v=dvpAFWBVgy0

A bit late for the discussion, and kind of sketchy when you get into it.

-Roger


> On Apr 28, 2023, at 8:18 AM, Stephen Guerin <stephen.guerin at simtable.com> wrote:
> 
> 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.
> 
> -S
> -. --- - / ...- .- .-.. .. -.. / -- --- .-. ... . / -.-. --- -.. .
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