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Vincent Thacker
5:58 PM
@RyderRude Because a group is a groupoid with one object, commonly called *.
The functor sends * to X in Set, which is the set that it is acting on
The group elements, which are automorphisms of *, naturally become automorphisms of the set X.
Hope this clears things up for you
3 hours later…
imbAF
8:37 PM
What do we call the solution to the Helmholtz equation?
imbAF
8:50 PM
Can we have in real life, only linear polarized light? Wouldn't that be impossible, as a linearly polarized light, implies one frequency i.e a plane wave, and plane waves are not physical ?
bolbteppa
9:04 PM
@imbAF It depends
on the context
imbAF
what do you mean?
bolbteppa
You have vibrating membrane interpretations, Laplace equations (which give electrostatic field), quantum mechanical free particle interpretations, etc
Semiclassical
9:29 PM
plus, depending on the experiment it may not matter if the light isn't "perfectly" linearly polarized
it just has to be close enough to linearly-polarized for it to interact with other objects in interesting ways
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