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

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.

arXiv admin note: substantial text overlap with arXiv:1111.5521

Cited by in corpus (1)

• A functional approach to a Gelfand-Tsetlin type base for ${\mathfrak{o}}_5$