Continuous Histories and the History Group in Generalised Quantum Theory
arXiv:gr-qc/9503063 · doi:10.1063/1.531267
Abstract
We treat continuous histories within the histories approach to generalised quantum mechanics. The essential tool is the `history group': the analogue, within the generalised history scheme, of the canonical group of single-time quantum mechanics.
25 pages
References in corpus (5)
- Classical Equations for Quantum Systems
- Quantum Logic and the Histories Approach to Quantum Theory
- Quantum temporal logic and decoherence functionals in the histories approach to generalised quantum theory
- The Classification of Decoherence Functionals: An Analogue of Gleason's Theorem
- Alternative Decohering Histories in Quantum Mechanics
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