nLab
angular momentum

Context

Physics

physics, mathematical physics, philosophy of physics

Surveys, textbooks and lecture notes


theory (physics), model (physics)

experiment, measurement, computable physics

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)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.

References

Classical angular momentum

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)