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

الملخص EN

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.