Physics – Quantum Physics
Scientific paper
2002-05-26
In 'Probing the Structure of Quantum Mechanics: Nonlinearity, Nonlocality, Computation and Axiomatics, eds. D. Aerts, M. Czach
Physics
Quantum Physics
25 pages
Scientific paper
We illustrate some problems that are related to the existence of an underlying linear structure at the level of the property lattice associated with a physical system, for the particular case of two explicitly separated spin 1/2 objects that are considered, and mathematically described, as one compound system. It is shown that the separated product of the property lattices corresponding with the two spin 1/2 objects does not have an underlying linear structure, although the property lattices associated with the subobjects in isolation manifestly do. This is related at a fundamental level to the fact that separated products do not behave well with respect to the covering law (and orthomodularity) of elementary lattice theory. In addition, we discuss the orthogonality relation associated with the separated product in general and consider the related problem of the behavior of the corresponding Sasaki projections as partial state space mappings
Aerts Diederik
Valckenborgh Frank
No associations
LandOfFree
Linearity and Compound Physical Systems: The Case of Two Separated Spin 1/2 Entities does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Linearity and Compound Physical Systems: The Case of Two Separated Spin 1/2 Entities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Linearity and Compound Physical Systems: The Case of Two Separated Spin 1/2 Entities will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-273070