The Magnetic Interaction Energy between an Infinite Solenoid and a Passing Point Charge

Show full item record



Permalink

http://hdl.handle.net/10138/302473

Citation

Essén , H & Stén , J C-E 2018 , ' The Magnetic Interaction Energy between an Infinite Solenoid and a Passing Point Charge ' , Progress In Electromagnetics Research , vol. 71 , pp. 145-156 . https://doi.org/10.2528/PIERM18052908

Title: The Magnetic Interaction Energy between an Infinite Solenoid and a Passing Point Charge
Author: Essén, Hanno; Stén, Johan C.-E.
Contributor: University of Helsinki, Department of Mathematics and Statistics
Date: 2018-08
Language: eng
Number of pages: 12
Belongs to series: Progress In Electromagnetics Research
ISSN: 1937-8726
URI: http://hdl.handle.net/10138/302473
Abstract: The standard expression for the magnetic interaction energy used in the study of the Aharonov-Bohm effect is investigated. We calculate the magnetic interaction energy between a point charge and an infinite solenoid from first principles. Two alternative expressions are used: the scalar products of the currents with the vector potentials and the scalar product of the magnetic fields. The alternatives are seen to agree. The latter approach also involves taking into account surface integrals at infinity, which are shown to be zero. Our model problem indicates no classical Aharonov-Bohm effect, but we also discuss the normally neglected fact of energy non-conservation. The problem is treated from the point of view of Lagrangian and Hamiltonian mechanics.
Subject: 114 Physical sciences
elektrodynamik
AHARONOV-BOHM
INTERFERENCE PATTERN
PARTICLE
Rights:


Files in this item

Total number of downloads: Loading...

Files Size Format View
15.18052908.pdf 154.1Kb PDF View/Open

This item appears in the following Collection(s)

Show full item record