Can somebody give an example of two matrices [itex]a_1[/itex] and [itex]a_2[/itex] which would satisfy the relation(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

a_i a_j^{\dagger} + a_j^{\dagger} a_i = \delta_{ij}

[/tex]

I know that

[tex]

\left(\begin{array}{cc}

0 & 1 \\ 0 & 0 \\

\end{array}\right)

\left(\begin{array}{cc}

0 & 0 \\ 1 & 0 \\

\end{array}\right)

+ \left(\begin{array}{cc}

0 & 0 \\ 1 & 0 \\

\end{array}\right)

\left(\begin{array}{cc}

0 & 1 \\ 0 & 0 \\

\end{array}\right)

= 1

[/tex]

but I found myself unable to modify this for the index [itex]i\in\{1,2\}[/itex].

**Physics Forums - The Fusion of Science and Community**

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

# Low dimensional anticommutation example

Loading...

Similar Threads - dimensional anticommutation example | Date |
---|---|

I Operators and vectors in infinite dimensional vector spaces | Mar 2, 2018 |

A Can zero dimensional QFT be real? | Sep 21, 2017 |

B How can something be "Zero Dimensional?" | May 20, 2017 |

Why does this anticommutator yield this particular result? | Sep 25, 2015 |

**Physics Forums - The Fusion of Science and Community**