Authors
Citation
F. Herbut, ON STATE-DEPENDENT IMPLICATION IN QUANTUM-MECHANICS, Journal of physics. A, mathematical and general, 27(22), 1994, pp. 7503-7518
Citations number
14
Categorie Soggetti
Physics
Journal title
ISSN journal
03054470
Volume
27
Issue
22
Year of publication
1994
Pages
7503 - 7518
Database
ISI
SICI code
0305-4470(1994)27:22<7503:OSIIQ>2.0.ZU;2-A
Abstract
This paper studies a generalization of the a priori implication E less
-than-or-equal-to F, meaning of course EF=E, in the quantum logic P(H)
of all projectors. The new definition can be applied also to new pair
s of events, being based on the indistinguishability of some events wh
en considered from the standpoint of a (fixed) state rho. The mathemat
ical theory of factor Boolean algebras, on which this extension is bas
ed, is clarified.