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Cooperative Liouvillian mapping over carrier subspaces and induced of NMR spin clusters as a consequence of simple reducibility being applicable to tensorial operator bases,

  • Original Contributions
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Zeitschrift für Physik B Condensed Matter

Abstract

The significance of simple-reducibility under

groups being applicable to Liouville spin space {|k q v»} is considered in the context of induced symmetry and of mappings arising under cooperative symmetries. Some consequences of the realization of a further Heisenberg algebra, now under the {ℐ±, ℐ0} superoperators, are considered in terms of mappings and Gel'fand pattern algebras over the distinct carrier space,

. The cooperative aspects of

induced symmetry are shown to be a consequence of fundamental Wigner superoperators and the transformational properties of an additional Yamanouchi permutation index being applicable over

subspaces. The inherent structure of Liouville space under a more general

symmetry is summarized from the viewpoint of lexical combinatorial treatments of the (k 1−k n )

-fields inherent in (Rota)-Cayley algebra.

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  1. Department of Chemistry, Queen's University, K7L 3N6, Kingston, Ontario, Canada

    F. P. Temme

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Temme, F.P. Cooperative Liouvillian mapping over carrier subspaces and induced of NMR spin clusters as a consequence of simple reducibility being applicable to tensorial operator bases, . Z. Physik B - Condensed Matter 88, 83–92 (1992). https://doi.org/10.1007/BF01573841

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  • DOI: https://doi.org/10.1007/BF01573841

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