Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10735989 | Reports on Mathematical Physics | 2005 | 13 Pages |
Abstract
Let â1 and â2 be complex Hilbert spaces, â³1 = P(â1) and â³2 = P(â2) the lattices of closed subspaces, and let â³ be a complete atomistic lattice. We prove under some weak assumptions relating â³i and â³, that if â³ admits an orthocomplementation, then â³ is isomorphic to the separated product of â³1 and â³2 defined by Aerts. Our assumptions are minimal requirements for â³ to describe the experimental propositions concerning a compound system consisting of so-called separated quantum systems. The proof does not require any assumption on the orthocomplementation of â³.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Boris Ischi,