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The manifestly covariant Aharonov-Bohm effect in terms of the 4D fields

Ivezić, Tomislav (2015) The manifestly covariant Aharonov-Bohm effect in terms of the 4D fields. Journal of Physics: Conference Series, 615 . 01/1-01/14. ISSN 1742-6588

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Abstract

In this paper it is presented a manifestly covariant formulation of the Aharonov-Bohm (AB) phase difference for the magnetic AB effect. This covariant AB phase is written in terms of the Faraday 2-form F and using the decomposition of F in terms of the electric and magnetic fields as four-dimensional (4D) geometric quantities. It is shown that there is a static electric field outside a stationary solenoid with resistive conductor carrying steady current, which causes that the AB phase difference in the magnetic AB effect may be determined by the electric part of the covariant expression, i.e., by the local influence of the 4D and not, as generally accepted, in terms of nonzero vector potential.

Item Type: Article
Uncontrolled Keywords: Aharonov-Bohm; 4D electric field; nonzero vector potential
Subjects: NATURAL SCIENCES > Physics
Divisions: Division of Experimental Physics
Depositing User: Tomislav Ivezić
Date Deposited: 06 Jun 2016 12:42
URI: http://fulir.irb.hr/id/eprint/2807
DOI: 10.1088/1742-6596/615/1/012015

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