Noncommutative pfaffians and classification of states of five-dimensional quasi-spin
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909196602048512 |
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| author | Artamonov, Dmitry Goloubeva, Valentina |
| author_facet | Artamonov, Dmitry Goloubeva, Valentina |
| contents | Noncommutative pfaffians associated with an orthogonal algebra $\mathfrak{o}_N$ are some special elements of the universal enveloping algebra $U(\mathfrak{o}_N)$. Using pfaffians we construct the fourth quantum number which together with the naturally defined three quantum numbers allow to classify the states of a five-dimensional quasi-spin. The pfaffians are treated as creation operators for the new quantum number. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_05631 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Noncommutative pfaffians and classification of states of five-dimensional quasi-spin Artamonov, Dmitry Goloubeva, Valentina Representation Theory Mathematical Physics Noncommutative pfaffians associated with an orthogonal algebra $\mathfrak{o}_N$ are some special elements of the universal enveloping algebra $U(\mathfrak{o}_N)$. Using pfaffians we construct the fourth quantum number which together with the naturally defined three quantum numbers allow to classify the states of a five-dimensional quasi-spin. The pfaffians are treated as creation operators for the new quantum number. |
| title | Noncommutative pfaffians and classification of states of five-dimensional quasi-spin |
| topic | Representation Theory Mathematical Physics |
| url | https://arxiv.org/abs/2405.05631 |