Automorphisms of quantum logics |
| |
Authors: | Paweł Kruszyński |
| |
Affiliation: | Department of Mathematical Methods in Physics, University of Warsaw, Warsaw, Poland |
| |
Abstract: | Automorphisms of quantum logics are studied. If a quantum logic, i.e. an orthomodular complete lattice of propositions concerning a physical system, is represented as the lattice of all projections in a von Neumann algebra, then each automorphism of the logic can be represented as a Jordan automorphism in the algebra. Groups of transformations of a physical system are represented as groups of 1-automorphisms in a von Neumann algebra, provided certain continuity conditions are fulfilled. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|