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)

Revised on October 31, 2013 00:16:57 by Urs Schreiber (77.251.114.72)