Separation theorems and Bell inequalities in algebraic quantum mechanics
Quantum Physics
2023-06-06 v1
Abstract
The paper discusses the concept of separation of quantum mechanical systems in the algebraic approach. We review known theorems, then establish a link between the C*-algebraic and the corresponding W*-algebraic concepts. A characterization of separation in terms of Bell inequalities, due to Raggio (1988), is given a C*-algebraic formulation. Finally, we comment on the implications for the understanding of the Bell inequalities.
Keywords
Cite
@article{arxiv.2306.01909,
title = {Separation theorems and Bell inequalities in algebraic quantum mechanics},
author = {Guido Bacciagaluppi},
journal= {arXiv preprint arXiv:2306.01909},
year = {2023}
}
Comments
14 pages, originally published in Busch, P., Lahti, P.J., Mittelstaedt, P. (eds.), Proceedings of the Symposium on the Foundations of Modern Physics, Cologne, 1-5 June 1993, pp. 29--37