Hi there,(adsbygoogle = window.adsbygoogle || []).push({});

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?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# About bases of complex (Hilbert) space

**Physics Forums | Science Articles, Homework Help, Discussion**