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Group theory and propagation of operator averages

par Quesne, Christiane
Référence Journal of mathematical physics, 16, 12, page (2427-2431)
Publication Publié, 1974

Article révisé par les pairs

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Résumé :

The propagation of operator averages, which is the basis of French's spectral distribution method, is reformulated in the framework of group theory. The concept of complementary groups is extensively used. It is shown that the possibility of propagating averages is intimately connected with the absence of state labeling problem. The construction of the propagation operators is examined, and for those cases where it is not trivial, a new way of approach is suggested by establishing a link with recent group theoretical advance in the construction of subgroup invariants in the universal covering algebra of a group. Finally the discussion is illustrated by some examples taken, or not, from current literature. Copyright © 1975 American Institute of Physics.