Quantum logic and decohering histories
Quantum Physics
2007-05-23 v1 General Relativity and Quantum Cosmology
Abstract
An introduction is given to an algebraic formulation and generalisation of the consistent histories approach to quantum theory. The main technical tool in this theory is an orthoalgebra of history propositions that serves as a generalised temporal analogue of the lattice of propositions of standard quantum logic. Particular emphasis is placed on those cases in which the history propositions can be represented by projection operators in a Hilbert space, and on the associated concept of a `history group'.
Cite
@article{arxiv.quant-ph/9506028,
title = {Quantum logic and decohering histories},
author = {C J Isham},
journal= {arXiv preprint arXiv:quant-ph/9506028},
year = {2007}
}
Comments
14 pages LaTeX; Writeup of lecture given at conference ``Theories of fundamental interactions'', Maynooth Eire 24--26 May 1995.