Publication: Internal labelling problem: an algorithmic procedure
Loading...
Official URL
Full text at PDC
Publication Date
2011
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
IOP Science
Citations
Exportar
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.
Description
UCM subjects
Unesco subjects
Keywords
Citation
Elliott J P 1958 Proc. R. Soc. A 245 128, 562
Jarvis P D 1974 J. Phys. A: Math. Nucl. Gen. 7 1807
Rowe D J 1994 J. Math. Phys. 35 3178
Hecht K T 1994 J. Phys. A: Math. Gen. 27 3445
Rowe D J 1995 J. Math. Phys. 36 1520
Sharp R T and Pieper S C 1968 J. Math. Phys. 9 663
Sharp R T 1970 Proc. Camb. Phil. Soc. 68 571
Sharp R T 1975 J. Math. Phys. 16 2050
Gaskell R, Rosensteel G and Sharp R T 1981 J. Math. Phys. 22 2732
Jarvis P D 1979 J. Phys. A: Math. Gen. 12 1
Jarvis P D and Zhang R B 2005 J. Phys. A: Math. Gen. 38 L219
Boya L J and Campoamor-Stursberg R 2009 J. Phys. A: Math. Theor. 42 205235
Campoamor-Stursberg R 2008 J. Phys. Conf. Ser. 128 012052
Campoamor-Stursberg R 2008 arXiv:0805.2981 [hep-th]
Van der Jeugt 1984 J. Math. Phys. 25 1221
Bincer A M 1983 J. Math. Phys. 24 1695
Peccia A and Sharp R T 1976 J. Math. Phys. 17 1313
Pecina Cruz J N 1994 J. Math. Phys. 35 3146
Campoamor-Stursberg R 2007 J. Phys. A: Math. Theor. 40 14773
Judd B R, Miller W, Patera J and Winternitz P 1974 J. Math. Phys. 15 1787
Berezin F A 1967 Funkt. Anal. Prilozh. 1 1
Iachello F 2006 Lie Algebras and Applications (New York: Springer)
Pan F, Cao Y-F and Pan Z-Y 1989 J. Phys. A: Math. Gen. 22 4105
Bincer A M and Riesselmann K 1993 J. Math. Phys. 34 5935
Campoamor-Stursberg R 2005 J. Phys. A: Math. Gen. 38 4187
Racah G 1951 Group Theory and Spectroscopy (Princeton, NJ: Princeton University Press)
Gel’fand I M 1950 Mat. Sb. 26 112
De Meyer H, Vanden Berghe G, Van der Jeugt J and De Wilde P 1985 J. Math. Phys. 26 2124
De Baerdemacker S, Heyde K and Hellemans V 2007 J. Phys. A: Math. Theor. 40 2733
Campoamor-Stursberg R 2009 J. Phys. Conf. Ser. 175 012008
Giroux Y and Sharp R T 1987 J. Math. Phys. 28 1671
Couture M and Sharp R T 1989 J. Phys. A: Math. Gen. 22 1525
Wybourne B G and Bowick M J 1977 Aust. J. Phys. 30 259
Slansky R 1981 Phys. Rep. 79 1
Wybourne B G 1995 Lithuanian J. Phys. 35 123
Keurentjes A 2003 Nucl. Phys. B 658 303
Boyko V, Patera J and Popovych R 2006 J. Phys. A: Math. Gen. 39 5749
Boyko V, Patera J and Popovych R 2007 J. Phys. A: Math. Theor. 40 113