| Thème(s) : |
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| Titre : |
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THE IMPACT OF GIULIO RACAH ON CRYSTAL- AND LIGAND-FIELD THEORIES |
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| Auteur : |
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Maurice Robert Kibler ( )1 |
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| Laboratoire : |
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| Résumé : |
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This paper focuses on the impact of Racah on crystal- and ligand-field theories, two branches of molecular physics and condensed matter physics (dealing with ions embedded in aggregates of finite symmetry). The role of Racah and some of his students in developing a symmetry-adapted weak-field model for crystal-field theory is examined. Then, we discuss the extension of this model to a generalized symmetry-adapted weak-field model for ligand-field theory. Symmetry considerations via the use of the Wigner-Racah algebra for chains of type SU(2) > G is essential for these weak-field models. Therefore, the basic ingredients for the Wigner-Racah algebra of a finite or compact group are reviewed with a special attention paid to the SU(2) group in a SU(2) > G basis. Finally, as an unexpected application of nonstandard SU(2) bases, it is shown how SU(2) bases adapted to the cyclic group allow to build bases of relevance in quantum information. |
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| Type de publication : |
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Communications avec actes |
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Date de publication
ou d'écriture : |
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2011 |
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| Date de la présentation : |
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24/02/2010 |
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Nom du périodique
Titre de l'ouvrage : |
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Monografias de la Real Academia de Ciencias de Zaragoza |
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| Audience : |
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internationale |
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| Volume : |
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37 |
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| Editeurs scientifiques : |
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Rutwig Campoamor-Stursberg and Luis J. Boya |
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| Page/Article : |
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37-84 |
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| Nom du colloque : |
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International Conference in Commemoration of the Centenary of the Birth of G. Racah (1909-1965) - Zaragoza, Spain, 22-24 February 2010 |
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| Ville du colloque : |
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Zaragoza |
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| Pays du colloque : |
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Espagne |
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| Date du colloque (début) : |
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21/02/2010 |
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| Date du colloque (fin) : |
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24/02/2010 |
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| Speaker : |
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M.R. Kibler |
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