{"id":440171,"date":"2017-08-16T02:00:00","date_gmt":"2017-08-15T23:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=3301aea475fe3820d4b80a2c97a1496a"},"modified":"2017-08-16T02:00:00","modified_gmt":"2017-08-15T23:00:00","slug":"alternative-routes-to-the-retarded-potentials","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=440171","title":{"rendered":"Alternative routes to the retarded potentials"},"content":{"rendered":"<p>Two procedures to introduce the familiar retarded potentials of Maxwell\u2019s equations are reviewed.<br \/>\nThe first well-known procedure makes use of the Lorenz-gauge potentials of Maxwell\u2019s equations. The<br \/>\nsecond less-known procedure applies the retarded Helmholtz theorem to Maxwell\u2019s equations. Both<br \/>\nprocedures are compared in the context of an undergraduate presentation of electrodynamics. The<br \/>\ncovariant form of both procedures is discussed for completeness. As a related discussion, two<br \/>\nprocedures to introduce the unfamiliar instantaneous potentials of Maxwell\u2019s equations are also<br \/>\nreviewed. The first procedure applies the standard Helmholtz theorem to Maxwell\u2019s equations and the<br \/>\nsecond one uses the Coulomb-gauge potentials of Maxwell\u2019s equations. The retarded and instantaneous<br \/>\nforms of the potentials of Maxwell\u2019s equations are briefly commented upon. The retarded Helmholtz<br \/>\ntheorem is used to introduce the retarded potentials of Maxwell\u2019s equations with magnetic monopoles.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Two procedures to introduce the familiar retarded potentials of Maxwell\u2019s equations are reviewed.<br \/>\nThe first well-known procedure makes use of the Lorenz-gauge potentials of Maxwell\u2019s equations. The<br \/>\nsecond less-known procedure applies the retarded&#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-440171","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\/440171","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=440171"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/440171\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=440171"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=440171"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=440171"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}