Classicalization of Quantum Mechanics: Classical Radiation Damping Without the Runaway Solution
In this paper, we review a new treatment of classical radiation damping, which resolves a known contradiction in the Abraham–Lorentz equation that has long been a concern. This radiation damping problem has already been solved in quantum mechanics by the method introduced by Friedrichs. Based on Fri...
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| Format: | Article |
| Language: | English |
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MDPI AG
2024-10-01
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| Series: | Physics |
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| Online Access: | https://www.mdpi.com/2624-8174/6/4/73 |
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| author | Tomio Petrosky Yuki Goto Savannah Garmon |
| author_facet | Tomio Petrosky Yuki Goto Savannah Garmon |
| author_sort | Tomio Petrosky |
| collection | DOAJ |
| description | In this paper, we review a new treatment of classical radiation damping, which resolves a known contradiction in the Abraham–Lorentz equation that has long been a concern. This radiation damping problem has already been solved in quantum mechanics by the method introduced by Friedrichs. Based on Friedrichs’ treatment, we solved this long-standing problem by classicalizing quantum mechanics by replacing the canonical commutation relation from quantum mechanics with the Poisson bracket relation in classical mechanics. |
| format | Article |
| id | doaj-art-a9cbcd3d4bd94aa3b88ed2568c9c7207 |
| institution | DOAJ |
| issn | 2624-8174 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Physics |
| spelling | doaj-art-a9cbcd3d4bd94aa3b88ed2568c9c72072025-08-20T02:51:07ZengMDPI AGPhysics2624-81742024-10-01641191120310.3390/physics6040073Classicalization of Quantum Mechanics: Classical Radiation Damping Without the Runaway SolutionTomio Petrosky0Yuki Goto1Savannah Garmon2Center for Complex Quantum Systems, The University of Texas at Austin, Austin, TX 78705, USANational Institute for Fusion Science, National Institutes of Natural Sciences, Toki 509-5292, JapanInstitute of Industrial Science, The University of Tokyo, Kashiwa 277-8574, JapanIn this paper, we review a new treatment of classical radiation damping, which resolves a known contradiction in the Abraham–Lorentz equation that has long been a concern. This radiation damping problem has already been solved in quantum mechanics by the method introduced by Friedrichs. Based on Friedrichs’ treatment, we solved this long-standing problem by classicalizing quantum mechanics by replacing the canonical commutation relation from quantum mechanics with the Poisson bracket relation in classical mechanics.https://www.mdpi.com/2624-8174/6/4/73classical radiation dampingresonance singularitynon-Hilbert spacethe Abraham–Lorentz equationclassicalization of quantum mechanicscyclotron motion |
| spellingShingle | Tomio Petrosky Yuki Goto Savannah Garmon Classicalization of Quantum Mechanics: Classical Radiation Damping Without the Runaway Solution Physics classical radiation damping resonance singularity non-Hilbert space the Abraham–Lorentz equation classicalization of quantum mechanics cyclotron motion |
| title | Classicalization of Quantum Mechanics: Classical Radiation Damping Without the Runaway Solution |
| title_full | Classicalization of Quantum Mechanics: Classical Radiation Damping Without the Runaway Solution |
| title_fullStr | Classicalization of Quantum Mechanics: Classical Radiation Damping Without the Runaway Solution |
| title_full_unstemmed | Classicalization of Quantum Mechanics: Classical Radiation Damping Without the Runaway Solution |
| title_short | Classicalization of Quantum Mechanics: Classical Radiation Damping Without the Runaway Solution |
| title_sort | classicalization of quantum mechanics classical radiation damping without the runaway solution |
| topic | classical radiation damping resonance singularity non-Hilbert space the Abraham–Lorentz equation classicalization of quantum mechanics cyclotron motion |
| url | https://www.mdpi.com/2624-8174/6/4/73 |
| work_keys_str_mv | AT tomiopetrosky classicalizationofquantummechanicsclassicalradiationdampingwithouttherunawaysolution AT yukigoto classicalizationofquantummechanicsclassicalradiationdampingwithouttherunawaysolution AT savannahgarmon classicalizationofquantummechanicsclassicalradiationdampingwithouttherunawaysolution |