View Single Post
LAHLH
LAHLH is offline
#1
Mar11-12, 06:51 AM
P: 411
Hi,

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
Phys.Org News Partner Physics news on Phys.org
Physicists consider implications of recent revelations about the universe's first light
Vacuum ultraviolet lamp of the future created in Japan
Grasp of SQUIDs dynamics facilitates eavesdropping