Kisil, V.V. orcid.org/0000-0002-6593-6147 (2024) Interpretation of wave function by coherent ensembles of trajectories. [Preprint - arXiv]
Abstract
We re-use some original ideas of de~Broglie, Schrödiger, Dirac and Feynman to revise the ensemble interpretation of wave function in quantum mechanics. To this end we introduce coherence (auto-concordance) of ensembles of quantum trajectories in the space-time. The coherence condition accounts phases proportional to classical action, which are in foundation of the Feynman path integral technique. Therefore, our interpretation is entirely based on well-known and tested concepts and methods of wave mechanics. Similarly to other ensemble interpretations our approach allows us to avoid all problems and paradoxes related to wave function collapse during a measurement process. Another consequence is that no quantum computation or quantum cryptography method will ever work if it assumes that a particular q-bit represents the entire wave function.
Metadata
| Item Type: | Preprint | 
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| Authors/Creators: | 
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| Dates: | 
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| Institution: | The University of Leeds | 
| Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) | 
| Depositing User: | Symplectic Publications | 
| Date Deposited: | 30 Apr 2025 15:29 | 
| Last Modified: | 30 Apr 2025 15:29 | 
| Identification Number: | 10.48550/arxiv.2407.09277 | 
| Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:225946 | 

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