- #1

LAHLH

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I understand that a 3x3 unitary matrix needs 9 real parameters to be specified (18 real parameters to start with then 9 equations of constraint arising from unitarity), but what I'm struggling to understand is how we can make phase changes of the form:

[tex] \mathrm{e}^{-i\beta_I} V_{IJ} \mathrm{e}^{\alpha_J} [/tex]

to make the first row and column of [itex]V_{IJ} [/itex] real leaving us with only 9-5=4 independent parameters [itex]\theta_1,\theta_2,\theta_3, \delta [/itex], is there an easy way to see this can be done?

thanks