Projection operator onto spin-S eigenspaces of total and orbital angular momenta
Nuclear Theory
2026-05-28 v1 Quantum Physics
Abstract
The Frobenius covariant is used to construct a projection operator onto the spin-S eigenspaces associated with the squares of the total and orbital angular momenta. The covariant admits two equivalent representations: as a polynomial in powers of the scalar product of the spin and orbital angular momentum operators, and as a finite expansion in terms of their respective polarization operators. A correspondence is established with Villars' angular momentum projection, used in nuclear structure studies.
Cite
@article{arxiv.2605.27637,
title = {Projection operator onto spin-S eigenspaces of total and orbital angular momenta},
author = {M. I. Krivoruchenko},
journal= {arXiv preprint arXiv:2605.27637},
year = {2026}
}
Comments
4 pages