Ladder operators approach to representation classification problem for Jordan-Schwinger image of su(2) algebra
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866914771929923584 |
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| author | Tushavin, G. V. Trifanov, A. I. Zaitseva, E. V. |
| author_facet | Tushavin, G. V. Trifanov, A. I. Zaitseva, E. V. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_01945 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Ladder operators approach to representation classification problem for Jordan-Schwinger image of su(2) algebra Tushavin, G. V. Trifanov, A. I. Zaitseva, E. V. Mathematical Physics Quantum Physics 81R05, 81R50 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. |
| title | Ladder operators approach to representation classification problem for Jordan-Schwinger image of su(2) algebra |
| topic | Mathematical Physics Quantum Physics 81R05, 81R50 |
| url | https://arxiv.org/abs/2207.01945 |