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What do these Casimir invariants of the Galilean group physically represent?
There exist Casimir invariants of the Galilean group which commute with all the generators of the group. They are, of course, Galilean scalars (i.e., scalars under space and time translations, ...
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What is actually meant when it is said Scalar is invariant?
As far as i know a quantity is called invariant if it satisfies some specific transformations.
Now,Suppose a body is moving with velocity $\vec{v}$ as measured from the lab frame.Its non-relativistic ...
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