# nLab angular momentum

Contents

## Surveys, textbooks and lecture notes

#### Representation theory

representation theory

geometric representation theory

# Contents

## Idea

In classical mechanics, the analog of momentum for rotational dynamics is called angular momentum.

In quantum mechanics, the angular momentum quantum observables constitute a representation of the (special) orthogonal group $SO(n)$ of $n$-dimensional Euclidean space, in applications typically considered for $n = 3$ or $n = 2$.

Therefore the theory of quantum angular momentum is that of the irreducible representation of the rotation group.

## References

### Representation theory of the special orthogonal group

• Wheeler, Irreducible representation of the rotation group (pdf)

Last revised on February 17, 2021 at 10:22:54. See the history of this page for a list of all contributions to it.