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dc.contributor.author
Minotti, Fernando Oscar
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dc.contributor.author
Modanese, Giovanni
dc.date.available
2022-11-10T10:16:29Z
dc.date.issued
2021-10
dc.identifier.citation
Minotti, Fernando Oscar; Modanese, Giovanni; Quantum Uncertainty and Energy Flux in Extended Electrodynamics; MDPI; Quantum Reports; 3; 4; 10-2021; 703-726
dc.identifier.issn
2624-960X
dc.identifier.uri
http://hdl.handle.net/11336/177184
dc.description.abstract
In quantum theory, for a system with macroscopic wavefunction, the charge density and current density are represented by non-commuting operators. It follows that the anomaly I = ∂t ρ + ∇ · j, being essentially a linear combination of these two operators in the frequency-momentum domain, does not admit eigenstates and has a minimum uncertainty fixed by the Heisenberg relation ∆N∆φ ≃ 1, which involves the occupation number and the phase of the wavefunction. We give an estimate of the minimum uncertainty in the case of a tunnel Josephson junction made of Nb. Due to this violation of the local conservation of charge, for the evaluation of the e.m. field generated by the system it is necessary to use the extended Aharonov–Bohm electrodynamics. After recalling its field equations, we compute in general form the energy–momentum tensor and the radiation power flux generated by a localized oscillating source. The physical requirements that the total flux be positive, negative or zero yield some conditions on the dipole moment of the anomaly I.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
MDPI
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by/2.5/ar/
dc.subject
ENERGY–MOMENTUM TENSOR
dc.subject
EXTENDED AHARONOV–BOHM ELECTRODYNAMICS
dc.subject
LOCAL CONSERVATION LAWS
dc.subject
TUNNEL JOSEPHSON JUNCTIONS
dc.subject.classification
Física de Partículas y Campos
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dc.subject.classification
Ciencias Físicas
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dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
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dc.title
Quantum Uncertainty and Energy Flux in Extended Electrodynamics
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2022-09-20T15:46:41Z
dc.journal.volume
3
dc.journal.number
4
dc.journal.pagination
703-726
dc.journal.pais
Suiza
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dc.journal.ciudad
Basel
dc.description.fil
Fil: Minotti, Fernando Oscar. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física del Plasma. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física del Plasma; Argentina
dc.description.fil
Fil: Modanese, Giovanni. University of Bozen-Bolzano; Italia
dc.journal.title
Quantum Reports
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.mdpi.com/2624-960X/3/4/44
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.3390/quantum3040044
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