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Internal labelling problem: an algorithmic procedure

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Campoamor Stursberg, Otto Ruttwig (2011) Internal labelling problem: an algorithmic procedure. Journal of Physics A: Mathematical and Theoretical, 44 (2). pp. 1-18. ISSN 1751-8113

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Official URL: http://iopscience.iop.org/1751-8121/44/2/025204/


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Abstract

Combining the decomposition of Casimir operators induced by the embedding of a subalgebra into a semisimple Lie algebra with the properties of commutators of subgroup scalars, an analytical algorithm for the computation of missing label operators with the commutativity requirement is proposed.
Two new criteria for subgroups scalars to commute are given. The algorithm is completed with a recursive method to construct orthonormal bases of states. As examples to illustrate the procedure, four labelling problems are explicitly
studied.


Item Type:Article
Uncontrolled Keywords:Labelling operators; semisimple Lie algebras; irreducible representations; Casimir operators
Subjects:Sciences > Physics > Quantum theory
ID Code:20829
Deposited On:15 Apr 2013 13:59
Last Modified:12 Dec 2018 15:13

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