angular momentum



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Representation theory



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)SO(n) of nn-dimensional Euclidean space, in applications typically considered for n=3n = 3 or n=2n = 2.

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


Classical angular momentum

Representation theory of the special orthogonal group

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

Last revised on October 31, 2013 at 00:16:57. See the history of this page for a list of all contributions to it.