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Copernicus
2018-Aug-21, 02:43 PM
For the equation \mathbf{S}| = \hbar\sqrt{s(s+1)}[1] for spin angular momentum, is this a derived equation or empirical or both?

1) https://en.wikipedia.org/wiki/List_of_equations_in_quantum_mechanics

Shaula
2018-Aug-21, 05:44 PM
Both. The form of it was inferred or hinted at by analogy from experimental results, then Dirac formalised it.

See: http://www.tcm.phy.cam.ac.uk/~bds10/aqp/handout_spin.pdf