Bukhari, A., Hodgson, D.R.E., Kanzi, S. et al. (2 more authors) (2025) Enhancing wave-particle duality. New Journal of Physics, 27 (8). 084501. ISSN: 1367-2630
Abstract
To enhance the consistency between the quantum descriptions of waves and particles, we quantise mechanical point particles in this paper in the same physically-motivated way as we previously quantised light in quantum electrodynamics (Bennett et al 2016 Eur. J. Phys. 37 014001). To identify the relevant Hilbert space, we notice that mechanical particles can occupy any position x while moving at any velocity v. Afterwards, we promote the classical states (x, v) to pairwise orthogonal quantum states and demand that these evolve according to Newton’s equations of motion. The resulting quantum theory is mass-independent, when Newton’s equations of motion are mass-independent, as one would expect. The basic formulation of quantum mechanics emerges from quantum mechanics in configuration space as a semi-classical approximation when a fixed mass is imposed and several other adjustments are made.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2025 The Author(s). Published by IOP Publishing Ltd on behalf of the Institute of Physics and Deutsche Physikalische Gesellschaft. Original content from this work may be used under the terms of the Creative Commons Attribution 4.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. |
Keywords: | quantum mechanics, Newton’s mechanics, wave–particle duality |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Physics and Astronomy (Leeds) |
Funding Information: | Funder Grant number EPSRC Accounts Payable REFEREE INCENTIVE SCHEME |
Depositing User: | Symplectic Publications |
Date Deposited: | 08 Aug 2025 08:57 |
Last Modified: | 08 Aug 2025 08:57 |
Status: | Published |
Publisher: | IOP Publishing |
Identification Number: | 10.1088/1367-2630/adf506 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:230181 |