Symmetric angular momentum coupling, the quantum volume operator and the 7-spin network: a computational perspective
Autor: | Marinelli, Dimitri, Marzuoli, Annalisa, Aquilanti, Vincenzo, Anderson, Roger W., Bitencourt, Ana Carla P., Ragni, Mirco |
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Rok vydání: | 2014 |
Předmět: | |
Zdroj: | Journal Reference: Lectures Notes in Computer Science, Vol. 8579, 508-521 (2014) |
Druh dokumentu: | Working Paper |
DOI: | 10.1007/978-3-319-09144-0_35 |
Popis: | A unified vision of the symmetric coupling of angular momenta and of the quantum mechanical volume operator is illustrated. The focus is on the quantum mechanical angular momentum theory of Wigner's 6j symbols and on the volume operator of the symmetric coupling in spin network approaches: here, crucial to our presentation are an appreciation of the role of the Racah sum rule and the simplification arising from the use of Regge symmetry. The projective geometry approach permits the introduction of a symmetric representation of a network of seven spins or angular momenta. Results of extensive computational investigations are summarized, presented and briefly discussed. Comment: 15 pages, 10 figures, presented at ICCSA 2014, 14th International Conference on Computational Science and Applications |
Databáze: | arXiv |
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