occasional meanderings in physics' brave new world
- Name: Kea
- Location: New Zealand
Marni D. Sheppeard
Sunday, July 12, 2009
Recall that the tribimaximal mixing matrix may be expressed in the form $F_3 F_2$, that is, as a product of quantum Fourier operators. This expression is asymmetric in the choice of two directions out of three. What if we combine different $F_2$ operators? For example, the old bimaximal mixing matrix is obtained from the product of two $F_2$ matrices: The product of $F_3$ with the bimaximal matrix is not tribimaximal, but its form is similar, with the value of $2/3$ being replaced by a value $0.85477$.