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<p>The Frobenius covariant is used to construct a projection operator onto the spin-<i>S</i> 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.</p>

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Projection Operator for Angular Momentum Eigenspaces

  • 期刊论文

  • 发表日期：

    2026年7月12日

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  • M. I. Krivoruchenko

摘要

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.