- #1
Einj
- 470
- 59
Hello everyone,
I have a question that will probably turn out to be trivial. I have the following matrix:
$$
U=\text{diag}(e^{2i\alpha},e^{-i\alpha},e^{-i\alpha}).
$$
This seems to me as an SU(2) matrix in the adjoint representation since it's unitary and has determinant 1. Am I right?
If so, for a small value of [itex]\alpha[/itex] from what combination of the generators can I obtain it?Thanks!
I have a question that will probably turn out to be trivial. I have the following matrix:
$$
U=\text{diag}(e^{2i\alpha},e^{-i\alpha},e^{-i\alpha}).
$$
This seems to me as an SU(2) matrix in the adjoint representation since it's unitary and has determinant 1. Am I right?
If so, for a small value of [itex]\alpha[/itex] from what combination of the generators can I obtain it?Thanks!