Hi. For the angular momentum l=2 case are the L(adsbygoogle = window.adsbygoogle || []).push({}); ^{2}and L_{z}matrices both 5 x 5 matrices with the following eigenvectors ?

## \begin{pmatrix} 1\\0\\0\\0\\0 \end{pmatrix} ## , ## \begin{pmatrix} 0\\1\\0\\0\\0 \end{pmatrix} ## , ## \begin{pmatrix} 0\\0\\1\\0\\0 \end{pmatrix}##,## \begin{pmatrix} 0\\0\\0\\1\\0 \end{pmatrix} ##,## \begin{pmatrix} 0\\0\\0\\0\\1 \end{pmatrix} ##

I am definitely confused about the addition of angular momentum usingJ = L + S. These are vectors but represented by square matrices ? And also the L and S matrices are usually not even of the same size so how can they be added ? Any help would be appreciated.

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

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!

# Confused about angular momentum

Loading...

Similar Threads for Confused angular momentum |
---|

I Spin confusion: Stern-Gerlach experiment |

I Confused about Dirac Notation |

B Two Confusing Entanglement Scenarios |

I Probability vs radial density-confusion |

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