- #1
KFC
- 488
- 4
Hi there,
In 3-dimensional real linear space, the simplest bases can be taken as the canonical bases
[tex]\hat{x} = \left(\begin{matrix}1 \\ 0 \\ 0\end{matrix}\right), \qquad \hat{y} = \left(\begin{matrix}0 \\ 1 \\0\end{matrix}\right), \qquad \hat{z} = \left(\begin{matrix}0 \\ 0 \\ 1\end{matrix}\right)[/tex]
I wonder what's the simplest counterpart for 3-dimensional in complex (hilbert) space?
In 3-dimensional real linear space, the simplest bases can be taken as the canonical bases
[tex]\hat{x} = \left(\begin{matrix}1 \\ 0 \\ 0\end{matrix}\right), \qquad \hat{y} = \left(\begin{matrix}0 \\ 1 \\0\end{matrix}\right), \qquad \hat{z} = \left(\begin{matrix}0 \\ 0 \\ 1\end{matrix}\right)[/tex]
I wonder what's the simplest counterpart for 3-dimensional in complex (hilbert) space?