Eigenvalues of angular momentum operators

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created: 2022-01-06 05:26:13
modified: 2022-01-12 20:16:17

Overview

So and have a common set of eigenvectors. The common eigenvector is denoted by:

Where corresponds to and can be an integer or integer-half and the absolute value of is smaller than and corresponds to :

The raising and lowering operator:

Their action on the eigenvectors:

Algebraic derivation

Let be the angular momentum operator and be one of its components.

TODO