Symmetry-adapted liouville space

F.P. Temme

Physica A: Statistical Mechanics and its Applications, 1990, vol. 166, issue 3, 685-701

Abstract: A generalized hierarchy over lexical weight-sets is shown to provide significant insight into the structure of identical higher Ii spin clusters under the Ln/SO(3) dual groups. The use of combinatorial Ln word-lengths allows one to derive the dual irreps directly from the combinatorics inherent in the adapted spin space. These advantages arise from the intimate connections between the scalar invariants of Cayley algebra over a field and their lexical combinatorics over |I, ΣiMi, ()〉 space, which itself is a consequence of the Ln-group representational algebra. By taking the highest SO(3) weight as the lexical origin, the calculations become recursive over all further expansions of the spin space, i.e., arising from an enhanced magnitude for the component nuclear spins, Ii.

Date: 1990
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:166:y:1990:i:3:p:685-701

DOI: 10.1016/0378-4371(90)90080-C

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