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

Authors
Citation
Gn. Afanasiev, VECTOR SOLUTIONS OF THE LAPLACE EQUATION AND THE INFLUENCE OF HELICITY ON AHARONOV-BOHM SCATTERING, Journal of physics. A, mathematical and general, 27(6), 1994, pp. 2143-2160
Citations number
35
Categorie Soggetti
Physics
ISSN journal
03054470
Volume
27
Issue
6
Year of publication
1994
Pages
2143 - 2160
Database
ISI
SICI code
0305-4470(1994)27:6<2143:VSOTLE>2.0.ZU;2-7
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, removing the mystery of the ir origin. Conditions are found for the non-radiation of charge and cu rrent densities periodically changing with time. Electromagnetic prope rties of the toroidal solenoid with non-zero helicity, the influence o f the latter on Aharonov-Bohm scattering, and an alternative viewpoint on the toroidal solenoid with non-trivial helicity are studied.