Angular momentum operator ↩

shorthands: {}
aliases: [Angular momentum in quantum mechanics, Orbital angular momentum operator]
created: 2021-12-22 19:45:49
modified: 2022-01-10 04:13:04

Where is the cross product of course, is the position operator and is the momentum operator.
Using component form (Einstein notation):

Where is the Levi-Civita symbol.

Commutation relations

The following general relations can be shown by direct calculation:

This can be expressed in a concise way using the vector product:

Eigenvalues