{"id":242668,"date":"2016-07-11T02:00:00","date_gmt":"2016-07-10T23:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=dced7ce06fd906ea48270fe53dd356a1"},"modified":"2016-07-11T02:00:00","modified_gmt":"2016-07-10T23:00:00","slug":"an-axiomatic-approach-to-maxwells-equations","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=242668","title":{"rendered":"An axiomatic approach to Maxwell\u2019s equations"},"content":{"rendered":"<p>This paper suggests an axiomatic approach to Maxwell\u2019s equations. The basis of this approach is a<br \/>\ntheorem formulated for two sets of functions localized in space and time. If each set satisfies a<br \/>\ncontinuity equation then the theorem provides an integral representation for each function. A<br \/>\ncorollary of this theorem yields Maxwell\u2019s equations with magnetic monopoles. It is pointed out that<br \/>\nthe causality principle and the conservation of electric and magnetic charges are the most<br \/>\nfundamental physical axioms underlying these equations. Another application of the corollary yields<br \/>\nMaxwell\u2019s equations in material media. The theorem is also formulated in the Minkowski space-time<br \/>\nand applied to obtain the covariant form of Maxwell\u2019s equations with magnetic monopoles and the<br \/>\ncovariant form of Maxwell\u2019s equations in material media. The approach makes use of the<br \/>\ninfinite-space Green function of the wave equation and is therefore suitable for an advanced course<br \/>\nin electrodynamics.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This paper suggests an axiomatic approach to Maxwell\u2019s equations. The basis of this approach is a<br \/>\ntheorem formulated for two sets of functions localized in space and time. If each set satisfies a<br \/>\ncontinuity equation then the theorem provides an int&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"categories":[178],"tags":[],"class_list":{"0":"post-242668","1":"post","2":"type-post","3":"status-publish","4":"format-standard","6":"category-rss-fuusikaharidus","7":"entry"},"_links":{"self":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/242668","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=242668"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/242668\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=242668"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=242668"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=242668"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}