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Integration theory of observables
pp. 497-502
Résumé
Representations of abstract observables on a generalised logic are given in terms of bounded vector-valued Borel measures on the real line whose ranges are in the dual space X* of the Banach space of states X. Each bounded observable is furthermore represented by an element u* of X* such that for any proper state p ∈ X, u*(p) is the expectation value of u when the system is in the state p.
Détails de la publication
Publié dans:
Hooker Clifford A. (1975) The logico-algebraic approach to quantum mechanics I: historical evolution. Dordrecht, Springer.
Pages: 497-502
DOI: 10.1007/978-94-010-1795-4_26
Citation complète:
Kronfli N. S., 1975, Integration theory of observables. In C. A. Hooker (ed.) The logico-algebraic approach to quantum mechanics I (497-502). Dordrecht, Springer.