Description of the Magnetic Field and Divergence of Multisolenoid Aharonov‐Bohm Potential

Araz R. Aliev, Elshad H. Eyvazov, Said F. M. Ibrahim and Hassan A. Zedan

Advances in Mathematical Physics, 2016, vol. 2016, issue 1

Abstract: Explicit formulas for the magnetic field and divergence of multisolenoid Aharonov‐Bohm potential are obtained; the mathematical essence of this potential is explained. It is shown that the magnetic field and divergence of this potential are very singular generalized functions concentrated at a finite number of thin solenoids. Deficiency index is found for the minimal operator generated by the Aharonov‐Bohm differential expression.

Date: 2016
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https://doi.org/10.1155/2016/8645732

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2016:y:2016:i:1:n:8645732

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