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| Format: | Preprint |
| Published: |
2026
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| Online Access: | https://arxiv.org/abs/2605.27637 |
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| _version_ | 1866917538092285952 |
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| author | Krivoruchenko, M. I. |
| author_facet | Krivoruchenko, M. I. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_27637 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Projection operator onto spin-S eigenspaces of total and orbital angular momenta Krivoruchenko, M. I. Nuclear Theory Quantum Physics 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. |
| title | Projection operator onto spin-S eigenspaces of total and orbital angular momenta |
| topic | Nuclear Theory Quantum Physics |
| url | https://arxiv.org/abs/2605.27637 |