Accession Number:

AD0623743

Title:

OBSERVABLES AND DERIVABLES PART II: UNIQUENESS AND EXISTENCE PROPERTIES.

Personal Author(s):

Corporate Author:

MATHEMATICS RESEARCH CENTER UNIV OF WISCONSIN MADISON

Report Date:

1965-07-01

Abstract:

Certain uniqueness and existence properties of bounded observables are discussed. The uniqueness problem considers the question if two bounded observables have the same expectations in every state, are the observables equal. We say that an observable z is the sum of two bounded observables x and y if the expectation of z is the sum of the expectations of x and y for every state. The existence problem poses the question does the sum of two bounded observables exist. Only partial answers to these questions have been found. It is shown that the uniqueness property holds for simultaneous observables and certain classes of non-simultaneous or complementary observables. The existence property holds for simultaneous observables and a counterexample is given which shows that this property does not hold in general. Logics in which the uniqueness and existence properties hold are considered. Author

Descriptive Note:

Technical summary rept.,

Supplementary Note:

See also AD-616 868.

Pages:

0020

Contract Number:

DA-11-022-ORD-2059

File Size:

0.00MB

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