Question: Show that an arbitrary n à n unitary matrix has n 2 real parameters, and hence that is the most general form of a 2

Show that an arbitrary n × n unitary matrix has n2real parameters, and hence that

sin Oceiy cos Oce-iß U = e-ia cos Oc eB -sin Oce-iy

is the most general form of a 2 × 2 unitary matrix. The most general form of (d, s) mixing is

Show that an arbitrary n × n unitary matrix has

where U is an arbitrary 2 × 2 unitary matrix, UU = 1. Show that this can be reduced to the form (9.39) by adjusting the arbitrary phases of the quark states s, s' and d.

sin Oceiy cos Oce-i U = e-ia cos Oc eB -sin Oce-iy

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