VECTOR SOLUTIONS OF THE LAPLACE EQUATION AND THE INFLUENCE OF HELICITY ON THE AHARONOV-BOHM SCATTERING

Authors
Citation
Gn. Afanasiev, VECTOR SOLUTIONS OF THE LAPLACE EQUATION AND THE INFLUENCE OF HELICITY ON THE AHARONOV-BOHM SCATTERING, Physica scripta. T, 50(3), 1994, pp. 225-232
Citations number
35
Categorie Soggetti
Physics
Journal title
ISSN journal
02811847
Volume
50
Issue
3
Year of publication
1994
Pages
225 - 232
Database
ISI
SICI code
0281-1847(1994)50:3<225:VSOTLE>2.0.ZU;2-J
Abstract
Vector solutions of the Laplace equation are obtained. Their propertie s and possible applications are discussed. The multipole toroidal mome nts appear naturally in this vector basis. This removes the mystery of their origin. Conditions are found for the non-radiation of charge an d current densities periodically changing with time. Electromagnetic p roperties of the toroidal solenoid with non-zero helicity, the influen ce of the latter on the Aharonov-Bohm scattering and alternative viewp oint on the toroidal solenoid with nontrivial helicity are studied.