Consistent interpretation of quantum mechanics using quantum trajectories
Abstract
The probabilistic element of quantum theory can be combined with the unitary time evolution of Schr\"odinger's equation in a natural and consistent way using the idea of a quantum trajectory, the quantum analog of the trajectory traced out in phase space as a function of time by a point representing the state of a closed classical system. A family of quantum trajectories can be defined using bases for the quantum Hilbert space at different times chosen so that an appropriate noninterference condition, related to the Gell-Mann and Hartle notion of medium decoherence, is satisfied. The result is a generalization of the consistent histories approach to quantum mechanics.
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The 'logical' and 'many histories' interpretations probably lead to a similar expectation, though it is not completely clear what their quantitative prediction would be.
“The 'logical' and 'many histories' interpretations [12] probably lead to a similar expectation, though it is not completely clear to me what their quantitative prediction would be.”
From On a possibility to find experimental evidence for the many-worlds interpretation of quantum mechanics (1997) · cites this paper as [12]
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- Authors
- Griffiths, R. B.
- Affiliations
- Carnegie Mellon University (US)
- Corresponding author
- Griffiths, Robert B.
- ORCID
- Griffiths, Robert B.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1993-04-12
- Volume
- 70
- Issue
- 15
- Pages
- 2201-2204
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2056520430
- Cited by
- 131
- References
- 9
- Citations by year
- 2026: 4 · 2025: 2 · 2024: 2 · 2023: 4 · 2022: 5 · 2021: 2 · 2020: 2 · 2019: 3 · 2018: 6 · 2017: 4 · 2016: 4 · 2015: 2 · 2014: 2 · 2013: 6 · 2012: 6
- FWCI
- 5.15
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Quantum chaos and dynamical systems
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Keywords
- quantum trajectories, consistent histories, interpretation of quantum mechanics, probabilistic interpretation of quantum mechanics, Schrödinger equation
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