Symmetries, Lagrangian and Conservation Laws for the Maxwell Equations
Blekinge Institute of Technology, School of Engineering, Department of Mathematics and Natural Sciences2009 (English)In: Acta Applicandae Mathematicae, ISSN 0167-8019 , Vol. 105, no 2, 157-187 p.Article in journal (Refereed) Published
The evolution equations of Maxwell's equations has a Lagrangian written in terms of the electric E and magnetic H fields, but admit neither Lorentz nor conformal transformations. The additional equations del center dot E=0, del center dot H=0 guarantee the Lorentz and conformal invariance, but the resulting system is overdetermined, and hence does not have a Lagrangian. The aim of the present paper is to attain a harmony between these two contradictory properties and provide a correspondence between symmetries and conservation laws using the Lagrangian for the evolutionary part of Maxwell's equations.
Place, publisher, year, edition, pages
Springer , 2009. Vol. 105, no 2, 157-187 p.
Maxwell equations, Symmetries, Lagrangian, Conservation laws
IdentifiersURN: urn:nbn:se:bth-7908DOI: 10.1007/s10440-008-9270-yISI: 000262432500003Local ID: oai:bth.se:forskinfo47193F3150C09F2FC12576AC003BC0F6OAI: oai:DiVA.org:bth-7908DiVA: diva2:835581