Quantum temporal logic and decoherence functionals in the histories approach to generalized quantum theory

1994/05/11 by C. J. Isham, Chris Isham, Noah Linden · 4 citations
Mathematics · Physics and Astronomy · #Mathematics #Open quantum system #Physics #Quantum #Quantum Mechanics and Applications #Quantum computer #Quantum decoherence #Quantum dissipation #Quantum dynamics #Quantum logic #Quantum mechanics #Quantum operation #Quantum probability #Quantum process #Statistical Mechanics and Entropy #Theoretical physics #gr-qc

paper · pdf · doi:10.1063/1.530759

published as J.Math.Phys. 35 (1994) 5452-5476 · 32 pages, Imperial/TP/93--94/35

arxiv created 1994/05/11 · openalex publication_date 1994/10/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The recent suggestion that a temporal form of quantum logic provides the natural mathematical framework within which to discuss the proposal by Gell-Mann and Hartle for a generalized form of quantum theory based on the ideas of histories and decoherence functionals is analyzed and developed herein. Particular stress is placed on properties of the space of decoherence functionals, including one way in which certain global and topological properties of a classical system are reflected in a quantum history theory.

Citations

• Quantum logic and the histories approach to quantum theory
• Techniques and Applications of Path Integration
• Unitarity and causality in generalized quantum mechanics for nonchronal spacetimes
• On the nature of quantum gravity
• The Logic of Quantum Mechanics
• Measures on the Closed Subspaces of a Hilbert Space

Cited by

• Life in an energy eigenstate: Decoherent histories analysis of a model timeless universe
• A Bayesian account of quantum histories
• A Kinetic Theory Approach to Quantum Gravity
• Covariance and time regained in canonical general relativity