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arXiv · 2405.05631

Noncommutative pfaffians and classification of states of five-dimensional quasi-spin

Dmitry Artamonov·Valentina Goloubeva
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Abstract

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.

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BibTeXRIS

Dmitry Artamonov, Valentina Goloubeva. 2024-05-09. Noncommutative pfaffians and classification of states of five-dimensional quasi-spin. https://doi.org/10.1063/1.4737850

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