- #1
nigelscott
- 135
- 4
Is the RHS of the conjugate relationship
Ad(g)x = gxg-1
from the Lie algebra equivalent to:
<g|λ|g>
In the Dirac notation of quantum mechanics?
I am looking at this in the context of gluons where g is a 3 x 1 basis matrix consisting of components r,g,b, g-1 is a 1 x 3 matrix consisting of components r*,g*,b* and λ is anyone of the 8 Gell-Mann matrices.
Ad(g)x = gxg-1
from the Lie algebra equivalent to:
<g|λ|g>
In the Dirac notation of quantum mechanics?
I am looking at this in the context of gluons where g is a 3 x 1 basis matrix consisting of components r,g,b, g-1 is a 1 x 3 matrix consisting of components r*,g*,b* and λ is anyone of the 8 Gell-Mann matrices.