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, 1-8

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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:8645732

DOI: 10.1155/2016/8645732

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