- #1
RedX
- 970
- 3
I read somewhere that the irreducible representations of Lie groups were countable. But what about translations? Isn't each momentum value its own irreducible singlet, and there are a continuum of momentum values?
For example take [tex]e^{ipx} [/tex]. If you translate it, it doesn't mix with anything else, it remains the same state. There are infinite number of momentum p, therefore infinite number of irreducible represetations.
For example take [tex]e^{ipx} [/tex]. If you translate it, it doesn't mix with anything else, it remains the same state. There are infinite number of momentum p, therefore infinite number of irreducible represetations.