Some identities for the quantum measure and its generalizations

Salgado, Roberto B.

doi:10.1142/S0217732302007041

Some identities for the quantum measure and its generalizations

Roberto B. Salgado
(
- Syracuse U.
)

Mar, 1999

19 pages

Published in:

Mod.Phys.Lett.A 17 (2002) 711-728

e-Print:

gr-qc/9903015 [gr-qc]

DOI:

10.1142/S0217732302007041

Report number:

SU-GP-99-3-1

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Abstract: (arXiv)

After a brief review of classical probability theory (measure theory), we present an observation (due to Sorkin) concerning an aspect of probability in quantum mechanics. Following Sorkin, we introduce a generalized measure theory based on a hierarchy of ``sum-rules.'' The first sum-rule yields classical probability theory, and the second yields a generalized probability theory that includes quantum mechanics as a special case. We present some algebraic relations involving these sum-rules. This may be useful for the study of the higher-order sum-rules and possible generalizations of quantum mechanics. We conclude with some open questions and suggestions for further work.

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)

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•
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•
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(
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)

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