Baser*-semigroups and the logic of quantum mechanics |
| |
Authors: | James C T Pool |
| |
Institution: | (1) II. Institut für Theoretische Physik, Universität Hamburg, Germany;(2) Applied Mathematics Division, Argonne National Laboratory, 60439 Argonne, Ill. |
| |
Abstract: | The theory of orthomodular ortholattices provides mathematical constructs utilized in the quantum logic approach to the mathematical foundations of quantum physics. There exists a remarkable connection between the mathematical theories of orthomodular ortholattices and Baer*-semigroups; therefore, the question arises whether there exists a phenomenologically interpretable role for Baer *-semigroups in the context of the quantum logic approach. Arguments, involving the quantum theory of measurements, yield the result that the theory of Baer *-semigroups provides the mathematical constructs for the discussion of operations and conditional probabilities.Supported in part by the United States Atomic Energy Commission. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|