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arXiv · 2207.01945

Ladder operators approach to representation classification problem for Jordan-Schwinger image of su(2) algebra

G. V. Tushavin·A. I. Trifanov·E. V. Zaitseva
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Abstract

The eigenvalues of the complete commuting set of self-adjoint operators determine the classification of states. We construct a classification for the image of the Jordan-Schwinger mapping of the su(2) algebra. We use the ladder operator approach to construct a canonical basis of irreducible representations and define the self-adjoint operators of the complete commuting set.

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G. V. Tushavin, A. I. Trifanov, E. V. Zaitseva. 2022-07-05. Ladder operators approach to representation classification problem for Jordan-Schwinger image of su(2) algebra. https://doi.org/10.17586/2220-8054-2022-13-3-299-307

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