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

9th Biennial Conference on Classical and Quantum Relativistic Dynamics of Particles and Fields

Ivezi, T.^1

Ruder Bokovi Institute, P.O.B. 180, Zagreb

10002, Croatia^1

关键词: Aharonov-bohm effects;    Covariant formulations;    Electric and magnetic fields;    Geometric quantities;    Local influence;    Phase difference;    Static electric fields;    Vector potential;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/615/1/012015/pdf
DOI  :  10.1088/1742-6596/615/1/012015

来源: IOP

【 摘 要 】

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 electric field and not, as generally accepted, in terms of nonzero vector potential.