New expressions for the Aharonov-Bohm phase and consequences for the fundamentals of quantum mechanics

dc.authorscopusid 7004016669
dc.authorscopusid 6602787345
dc.authorscopusid 55893162300
dc.contributor.author Kholmetskii, Alexander
dc.contributor.author Yarman, Tolga
dc.contributor.author Missevitch, Oleg
dc.date.accessioned 2024-05-25T11:27:55Z
dc.date.available 2024-05-25T11:27:55Z
dc.date.issued 2024
dc.department Okan University en_US
dc.department-temp [Kholmetskii, Alexander] Belarusian State Univ, Dept Phys, Minsk, BELARUS; [Yarman, Tolga] Istanbul Okan Univ, Istanbul, Turkiye; [Missevitch, Oleg] Belarusian State Univ, Inst Nucl Problems, Minsk, BELARUS en_US
dc.description.abstract We focus on new expressions for the Aharonov-Bohm (AB) phase proposed recently by C. Marletto and V. Vedral (Phys. Rev. Lett. 125, 040401 (2020)) and by our team (A. L. Kholmetskii et al., Ann. Phys., 434, 168627 (2021)). We emphasize the mismatch between the standard expression for the electric component of the AB phase and the expression by Marletto and Vedral for this component, which, as we show, has fundamental roots and indicates the need to use different expressions for the Hamiltonian of the radiative component and bound component of the electromagnetic (EM) field. We further show that the corrected expression for the AB phase of Marletto and Vedral and our expression for the AB phase do not coincide with its standard representation through the potentials of EM field (Y. Aharonov, D. Bohm, Phys. Rev. 115 (1959) 485) and contain additional terms, which straightforwardly allow to re-express the AB phase via electric and magnetic fields instead of scalar and vector potentials. The recognition of the field-dependent origin of the AB effect also requires to re-express the Hamiltonian of a charged particle through the EM field, which we show can be done in the only possible way. We discuss the physical meaning of the AB effect with the primary role of the EM field and also discuss some general quantum mechanical implications. en_US
dc.identifier.citationcount 0
dc.identifier.doi 10.1515/zna-2023-0297
dc.identifier.endpage 430 en_US
dc.identifier.issn 0932-0784
dc.identifier.issn 1865-7109
dc.identifier.issue 4 en_US
dc.identifier.scopus 2-s2.0-85182243262
dc.identifier.scopusquality Q3
dc.identifier.startpage 417 en_US
dc.identifier.uri https://doi.org/10.1515/zna-2023-0297
dc.identifier.uri https://hdl.handle.net/20.500.14517/1113
dc.identifier.volume 79 en_US
dc.identifier.wos WOS:001143103400001
dc.identifier.wosquality Q3
dc.language.iso en
dc.publisher Walter de Gruyter Gmbh en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.scopus.citedbyCount 1
dc.subject Aharonov-Bohm effect en_US
dc.subject Hamiltonian of electromagnetic field en_US
dc.subject Hamiltonian of electrically charged particle en_US
dc.subject energy-momentum operator en_US
dc.title New expressions for the Aharonov-Bohm phase and consequences for the fundamentals of quantum mechanics en_US
dc.type Article en_US
dc.wos.citedbyCount 1

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