- #1

- 292

- 3

## Main Question or Discussion Point

Hi,

When we consider the two neutrino mixing case, we have the matrix that converts between them as given below

[tex]\begin{pmatrix} |v_{1}> \\ |v_{2}> \end{pmatrix} = \begin{pmatrix} cos\theta & sin\theta \\ -sin\theta & cos\theta\end{pmatrix}\begin{pmatrix} |v_{e}> \\ |v_{\mu}> \end{pmatrix}[/tex]

Can anyone tell me how to derive this? As far as I know, the only condition that needs to be fulfilled is that the matrix must be unitary (and, because neutrino oscillations do occur, it cannot be the identity matrix). It could even be complex. So why this?

Thank you very much.

When we consider the two neutrino mixing case, we have the matrix that converts between them as given below

[tex]\begin{pmatrix} |v_{1}> \\ |v_{2}> \end{pmatrix} = \begin{pmatrix} cos\theta & sin\theta \\ -sin\theta & cos\theta\end{pmatrix}\begin{pmatrix} |v_{e}> \\ |v_{\mu}> \end{pmatrix}[/tex]

Can anyone tell me how to derive this? As far as I know, the only condition that needs to be fulfilled is that the matrix must be unitary (and, because neutrino oscillations do occur, it cannot be the identity matrix). It could even be complex. So why this?

Thank you very much.