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

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

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 finit...

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Veröffentlicht in:Advances in Mathematical Physics 2016-01, Vol.2016 (2016), p.1023-1030
Hauptverfasser: Zedan, Hassan A., Ibrahim, Said F. M., Eyvazov, Elshad H., Aliev, Araz R.
Format: Artikel
Sprache:eng
Schlagworte:
Colleges & universities
Convergence (Mathematics)
Differential equations
Equality
Magnetic fields
Mathematical models
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Beschreibung
Zusammenfassung: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.
ISSN:1687-9120
1687-9139
DOI:10.1155/2016/8645732