nLab angular momentum




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Representation theory



In classical mechanics, the analog of momentum for rotational dynamics is called angular momentum, and is defined as twice the product of the mass and the areal velocity.

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 May 16, 2022 at 23:50:45. See the history of this page for a list of all contributions to it.