Enhancing wave–particle duality
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 rele...
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| Format: | Article |
| Language: | English |
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IOP Publishing
2025-01-01
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| Series: | New Journal of Physics |
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| Online Access: | https://doi.org/10.1088/1367-2630/adf506 |
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| author | Arwa Bukhari Daniel R E Hodgson Sara Kanzi Robert Purdy Almut Beige |
| author_facet | Arwa Bukhari Daniel R E Hodgson Sara Kanzi Robert Purdy Almut Beige |
| author_sort | Arwa Bukhari |
| collection | DOAJ |
| description | 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 $|x,v\rangle$ 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. |
| format | Article |
| id | doaj-art-9a64dd255d7540da880a95bb0a287f3b |
| institution | DOAJ |
| issn | 1367-2630 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj-art-9a64dd255d7540da880a95bb0a287f3b2025-08-20T02:57:52ZengIOP PublishingNew Journal of Physics1367-26302025-01-0127808450110.1088/1367-2630/adf506Enhancing wave–particle dualityArwa Bukhari0Daniel R E Hodgson1https://orcid.org/0009-0005-9799-9440Sara Kanzi2https://orcid.org/0000-0001-7181-2813Robert Purdy3https://orcid.org/0000-0002-1853-5252Almut Beige4https://orcid.org/0000-0001-7230-4220School of Physics and Astronomy, University of Leeds , Leeds LS2 9JT, United Kingdom; School of Physics, Umm Al-Qura University , Makkah, Saudi ArabiaSchool of Physics and Astronomy, University of Leeds , Leeds LS2 9JT, United KingdomFaculty of Engineering, Final International University , North Cyprus Via Mersin 10, Kyrenia 99370, TurkeySchool of Physics and Astronomy, University of Leeds , Leeds LS2 9JT, United KingdomSchool of Physics and Astronomy, University of Leeds , Leeds LS2 9JT, United KingdomTo 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 $|x,v\rangle$ 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.https://doi.org/10.1088/1367-2630/adf506quantum mechanicsNewton’s mechanicswave–particle duality |
| spellingShingle | Arwa Bukhari Daniel R E Hodgson Sara Kanzi Robert Purdy Almut Beige Enhancing wave–particle duality New Journal of Physics quantum mechanics Newton’s mechanics wave–particle duality |
| title | Enhancing wave–particle duality |
| title_full | Enhancing wave–particle duality |
| title_fullStr | Enhancing wave–particle duality |
| title_full_unstemmed | Enhancing wave–particle duality |
| title_short | Enhancing wave–particle duality |
| title_sort | enhancing wave particle duality |
| topic | quantum mechanics Newton’s mechanics wave–particle duality |
| url | https://doi.org/10.1088/1367-2630/adf506 |
| work_keys_str_mv | AT arwabukhari enhancingwaveparticleduality AT danielrehodgson enhancingwaveparticleduality AT sarakanzi enhancingwaveparticleduality AT robertpurdy enhancingwaveparticleduality AT almutbeige enhancingwaveparticleduality |