Spin spherical harmonics

From Wikipedia, the free encyclopedia
Jump to: navigation, search
Not to be confused with Spin-weighted spherical harmonics.

In quantum mechanics, spin spherical harmonics Yl, s, j, m are spinors eigenstates of the total angular momentum operator squared:

where j = l + s. They are the natural spinorial analog of vector spherical harmonics.

For spin-1/2 systems, they are given in matrix form by[1]


  1. ^ Biedenharn, L. C.; Louck, J. D. (1981), Angular momentum in Quantum Physics: Theory and Application, Encyclopedia of Mathematics, 8, Reading: Addison-Wesley, p. 283, ISBN 0-201-13507-8