Non-square tensor algebra and applications in the NMR of multiply connected spin systems: I

Autor:	J.P.D. Martin, M.J. Prandolini, G.J. Bowden
Rok vydání:	1991
Předmět:	Angular momentum Condensed matter physics Chemistry Biophysics Racah W-coefficient Fano plane Tensor algebra Condensed Matter Physics Square (algebra) symbols.namesake Simple (abstract algebra) symbols Tensor Physical and Theoretical Chemistry Molecular Biology Mathematical physics Spin-½
Zdroj:	Molecular Physics. 74:985-998
ISSN:	1362-3028 0026-8976
DOI:	10.1080/00268979100102741
Popis:	Several new results in the theory of angular momentum are presented, which have their origin in NMR experiments on multiply connected spin-systems. In particular, Fano's ‘rectangular’ unit spherical tensors are used to extend Racah tensor algebra to deal with ‘non-square’ matrices. The properties of ‘non-square commutation relationships’ are examined in some detail, and illustrated using a simple three coupled spin-1/2 system. It is shown that Racah algebra is a subset of that which applies to the Fano spherical tensors.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::77e5ca651a3aaecb7c08c706c6163b5e https://doi.org/10.1080/00268979100102741 Zobrazit plný text záznamu