- #1
nigelscott
- 135
- 4
Not sure if this is the correct forum but here goes.
I am trying to prove [Ta,Tb] = ifabcTc
Where (Ta)bc = -ifabc and fabcare the structure constants for SU(3).
I picked f123 and generated the three 8 x 8 matrices .. T1, T2 and T3.
The matrices components are all 0 except for,
(T1)23 = -i
(T(1)47 = -i/2
(T1)56 = i/2
(T2)46 = -i/2
(T2)57 = -i/2
(T3)45 = -i/2
(T3)67= i/2
When I compute [T1,T2] I get 0. What am I missing?
I am trying to prove [Ta,Tb] = ifabcTc
Where (Ta)bc = -ifabc and fabcare the structure constants for SU(3).
I picked f123 and generated the three 8 x 8 matrices .. T1, T2 and T3.
The matrices components are all 0 except for,
(T1)23 = -i
(T(1)47 = -i/2
(T1)56 = i/2
(T2)46 = -i/2
(T2)57 = -i/2
(T3)45 = -i/2
(T3)67= i/2
When I compute [T1,T2] I get 0. What am I missing?