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

Journal Article · Wed Aug 15 00:00:00 EDT 2012 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4737850· OSTI ID:22093685

Artamonov, Dmitry ^[1]; Goloubeva, Valentina ^[2]

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1. Department of Economics, Moscow State University, 119991, Russia, Moscow, GSP-1, Leniskie gory 1 (Russian Federation)
2. Department of Applied Mathematics and Physics, Moscow Aviational Insitute, 125993, Moscow, GSP-3, A-80, Volokolamskoe Shosse, 4 (Russian Federation)

Noncommutative Pfaffians associated with an orthogonal algebra o{sub N} are some special elements of the universal enveloping algebra U(o{sub N}). Using Pfaffians we construct the fourth quantum number which together with the naturally defined three quantum numbers allows to classify the states of a five-dimensional quasi-spin. The Pfaffians are treated as creation operators for the new quantum number.

• OSTI ID: 22093685
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 8 Vol. 53; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
97 MATHEMATICS AND COMPUTING
ALGEBRA
CLASSIFICATION
COMMUTATION RELATIONS
CREATION OPERATORS
MANY-DIMENSIONAL CALCULATIONS
QUANTUM NUMBERS
SPIN